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A generalization of zeta function of a graph and its application

Research Project

Project/Area Number 23540176
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionOyama National College of Technology

Principal Investigator

SATO Iwao  小山工業高等専門学校, 一般科, 教授 (70154036)

Project Period (FY) 2011-04-28 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywordsグラフ / ゼータ関数 / 量子ウォーク
Outline of Final Research Achievements

We presented determinant expressions for the weighted Bartholdi zeta function of a digraph and the matrix-weighted Ihara $L$-function of a graph. Moreover, we presented a determinant expression of an edge $L$-function of a graph. Furthermore, we gave a determinant expression for the generalized Bartholdi zeta function of a bipartite graph, and then obtained a determinant expression for the generalized Bartholdi zeta function of a hypergraph. We considered the edge zeta function and the edge $L$-function of a hypergraph.
We presented the characteristic polynomials of the Grover matrix and its positive support, the positive support of its square by using determinant expressions of zeta functions of a graph. As applications, we determined their spectra. Furthermore, we define a zeta function of a graph with the positive support of the square of the Grover matrix as an edge matrix, and treated the Euler product, the determinant expression, the pole and the radius of convergence of it.

Report

(5 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (78 results)

All 2015 2014 2013 2012 2011 Other

All Journal Article (20 results) (of which Peer Reviewed: 20 results,  Open Access: 5 results,  Acknowledgement Compliant: 5 results) Presentation (58 results) (of which Invited: 16 results)

  • [Journal Article] Spectral and asymptotic properties of Grover walks on crystal lattices2014

    • Author(s)
      Y. Higuchi, N. Konno, I. Sato, E. Segawa
    • Journal Title

      J. Funct. Anal.

      Volume: 267 Pages: 4197-4235

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A remark on zeta functions of finite graphs via quantum walks2014

    • Author(s)
      Y. Higuchi, N. Konno, I. Sato, E. Segawa
    • Journal Title

      Pacific Journal of Mathematics for Industry

      Volume: 6 Pages: 9-9

    • NAID

      40020377848

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Zeta functions and complexities of middle graphs of semiregular bipartite graphs2014

    • Author(s)
      I. Sato
    • Journal Title

      Discrete Math.

      Volume: 335 Pages: 92-99

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] New proofs of Bapat and Sivasubramanian's theorems2014

    • Author(s)
      I. Sato
    • Journal Title

      Linear Algebra Appl.

      Volume: 448 Pages: 1-10

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A matrix-weighted zeta function of a graph2014

    • Author(s)
      I. Sato, H. Mitsuhashi, H. Morita
    • Journal Title

      Linear Multilinear Algebra

      Volume: 62 Pages: 114-125

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Some weighted Bartholdi zeta function of a digraph2014

    • Author(s)
      H. Mizuno, I. Sato
    • Journal Title

      Linear Algebra and its Applications

      Volume: 445 Pages: 1-17

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] A generalized Bartholdi zeta function for a regular covering of a bipartite graph2013

    • Author(s)
      I. Sato, S. Saito
    • Journal Title

      Linear Algebra and its Applications

      Volume: 438 Pages: 1025-1056

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] A new determinant expression for the weighted Bartholdi zeta function of a digraph. Electron2013

    • Author(s)
      I. Sato, H. Mitsuhasi, H. Morita
    • Journal Title

      Electronic Journal of Combinatorics

      Volume: 20

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] A note on the discrete-time evolutions of quantum walk on a graph2013

    • Author(s)
      Yu. U Higuchi, N. Konno, I. Sato, E. Segawa
    • Journal Title

      Journal of Math-for-Industry

      Volume: 5B Pages: 103-109

    • NAID

      120005372053

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] A generalized Bartholdi zeta function for a hypergraph2013

    • Author(s)
      I. Sato
    • Journal Title

      Far East Jouranal of Mathematical Sciences

      Volume: 78 Pages: 93-130

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] An extension of Smilansky's formula to a digraph2013

    • Author(s)
      I. Sato
    • Journal Title

      Far East Jouranal of Mathematical Sciences

      Volume: 78 Pages: 157-180

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Edge zeta functions of hypergraphs2012

    • Author(s)
      Iwao Sato
    • Journal Title

      Journal of Applied Mathematics and Computing

      Volume: 40 Pages: 209-220

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Convergence of Bartholdi zeta function of a graph2012

    • Author(s)
      I. Sato and M. Itoh
    • Journal Title

      Far East Journal of Mathematical Sciences

      Volume: 61 Pages: 179-194

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] On the relation between quantum walks and zeta functions2012

    • Author(s)
      N. Konno and I, Sato
    • Journal Title

      Quantum Information Processings

      Volume: 11 Pages: 341-349

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] The edge L -function of a graph2012

    • Author(s)
      I. Sato and S. Saito
    • Journal Title

      Linear Algebra and its Applications

      Volume: 436 Pages: 1376-1384

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Another proof of a formula for the weighted Bartholdi zeta function of a digraph2011

    • Author(s)
      H. Mizuno and I. Sato
    • Journal Title

      Far East journal of Mathematical Sciences

      Volume: 53 Pages: 81-100

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Some weighted zeta function of a graph2011

    • Author(s)
      H. Mizuno and I. Sato
    • Journal Title

      Far East journal of Mathematical Sciences

      Volume: 53 Pages: 193-215

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] New proofs for Levine's theorems2011

    • Author(s)
      I. Sato
    • Journal Title

      Linear Algebra and its Applications

      Volume: 435 Pages: 943-952

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] A zeta function of a semiregular weighted bipartite graph2011

    • Author(s)
      I. Sato
    • Journal Title

      Ars Combinatoria

      Volume: 99 Pages: 289-301

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Vertex weighted complexities of graph coverings2011

    • Author(s)
      H. Wu, R. Feng and I. Sato
    • Journal Title

      Algebra Colloquium

      Volume: 18 Pages: 129-138

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] 量子グラフウォーク2015

    • Author(s)
      佐藤 巖, 今野 紀雄, 瀬川 悦生, 樋口 雄介
    • Organizer
      日本数学会応用数学分科会
    • Place of Presentation
      明治大学
    • Year and Date
      2015-03-21
    • Related Report
      2014 Annual Research Report
  • [Presentation] 量子グラフウォーク2015

    • Author(s)
      佐藤 巖, 今野 紀雄, 瀬川 悦生, 樋口 雄介
    • Organizer
      スペクトラルグラフ理論および周辺領域(第3回研究集会)」
    • Place of Presentation
      広島工業大学
    • Year and Date
      2015-03-14
    • Related Report
      2014 Annual Research Report
  • [Presentation] グラフの伊原ゼータ関数2015

    • Author(s)
      佐藤 巖
    • Organizer
      熊本大学教育学部数学教室幾何セミナー(連続講演)
    • Place of Presentation
      熊本大学
    • Year and Date
      2015-03-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Weighted zeta functions for quotients of regular coverings of graphs2015

    • Author(s)
      根上生也、佐藤巌
    • Organizer
      研究会「直観幾何学」(熊本大学)
    • Place of Presentation
      熊本大学
    • Year and Date
      2015-03-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] 量子ウォークとグラフのゼータ関数2015

    • Author(s)
      佐藤巌
    • Organizer
      数理科学小研究集会(福島大学)
    • Place of Presentation
      福島大学
    • Year and Date
      2015-01-30
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] A note on the discrete-time evolutions of quantum walk on a graph2015

    • Author(s)
      Y. Higuchi, N. Konno, I. Sato, E. Segawa
    • Organizer
      AMS Special Session on Quantum Markov Chains, Quantum Walks, and Related Topics
    • Place of Presentation
      USA, Texas, San Antonio, Convention Center
    • Year and Date
      2015-01-12
    • Related Report
      2014 Annual Research Report
  • [Presentation] 量子グラフから得られる量子ウォーク2014

    • Author(s)
      今野 紀雄, 佐藤 巖, 瀬川 悦生, 樋口 雄介
    • Organizer
      応用数学合同研究集会(龍谷大学)
    • Place of Presentation
      龍谷大学
    • Year and Date
      2014-12-19
    • Related Report
      2014 Annual Research Report
  • [Presentation] A note on the discretetime evolutions of quantum walk on a graph2014

    • Author(s)
      Y. Higuchi, N. Konno, I. Sato, E. Segawa
    • Organizer
      Quantum Simulations and Quantum Walks 2014
    • Place of Presentation
      South Africa, the Pumula Beach Hotel
    • Year and Date
      2014-11-26
    • Related Report
      2014 Annual Research Report
  • [Presentation] グラフのmodified zeta functionのtrace formula2014

    • Author(s)
      佐藤 巖
    • Organizer
      3rd Yokohama Workshop on Quantum Walks(横浜国大)
    • Place of Presentation
      横浜国大
    • Year and Date
      2014-11-19
    • Related Report
      2014 Annual Research Report
  • [Presentation] Quantum graph walk2014

    • Author(s)
      今野 紀雄, 佐藤 巖, 瀬川 悦生, 樋口 雄介
    • Organizer
      第26 回位相幾何学的グラフ理論研究集会(横浜国大)
    • Place of Presentation
      横浜国大
    • Year and Date
      2014-11-14
    • Related Report
      2014 Annual Research Report
  • [Presentation] グラフの離散時間量子ウォークの遷移行列に関するゼータ関数2014

    • Author(s)
      今野 紀雄, 佐藤 巖, 瀬川 悦生, 樋口 雄介
    • Organizer
      日本数学会応用数学分科会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-25
    • Related Report
      2014 Annual Research Report
  • [Presentation] 量子グラフから得られる量子ウォーク2014

    • Author(s)
      今野 紀雄, 佐藤 巖, 瀬川 悦生, 樋口 雄介
    • Organizer
      量子系の数理と物質制御への展開:量子ウォークを架け橋に(東北大学)
    • Place of Presentation
      東北大学
    • Year and Date
      2014-09-18
    • Related Report
      2014 Annual Research Report
  • [Presentation] The weighted complexity of the line digraph of a digraph2014

    • Author(s)
      I. Sato,
    • Organizer
      Japanese Conference on Combinatorics and its Applications 2014 (Tsukuba University)
    • Place of Presentation
      筑波大学
    • Year and Date
      2014-08-28
    • Related Report
      2014 Annual Research Report
  • [Presentation] he weighted complexity of the line digraph of a digraph2014

    • Author(s)
      佐藤 巖
    • Organizer
      離散数学とその応用研究集会2014アブストラクト(新潟大学)
    • Place of Presentation
      新潟大学
    • Year and Date
      2014-08-22
    • Related Report
      2014 Annual Research Report
  • [Presentation] グラフの離散時間量子ウォークの遷移行列に関するゼータ関数2014

    • Author(s)
      佐藤 巖
    • Organizer
      室蘭工大表現論特別セミナー」(室蘭工大)
    • Place of Presentation
      室蘭工大
    • Year and Date
      2014-06-06
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] A zeta function of a graph with respect to the transition matrix of quantum walk2014

    • Author(s)
      Y. Higuchi, N. Konno, I. Sato and E. Segawa
    • Organizer
      Japan Conference on Graph Theory and Combinatorics (Nihon University)
    • Place of Presentation
      日本大学
    • Year and Date
      2014-05-18
    • Related Report
      2014 Annual Research Report
  • [Presentation] A generalized Bartholdi zeta function for a hypergraph2013

    • Author(s)
      佐藤巌
    • Organizer
      日本数学会応用数学分科会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
  • [Presentation] グラフのゼータ関数とその行列式表示2013

    • Author(s)
      佐藤巌
    • Organizer
      愛媛大学数学教室談話会, 2013.3.
    • Place of Presentation
      愛媛大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 離散時間量子ウォークの遷移行列の3乗のpositive support2013

    • Author(s)
      今野紀雄, 佐藤巌, 瀬川悦生, 樋口雄介
    • Organizer
      「代数的グラフ理論、スペクトラルグラフ理論および周辺領域」研究集会
    • Place of Presentation
      名古屋大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 離散時間量子ウォークの遷移行列の3乗のpositive support2012

    • Author(s)
      今野紀雄, 佐藤巌, 瀬川悦生, 樋口雄介
    • Organizer
      2012年度応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Related Report
      2012 Research-status Report
  • [Presentation] On the weighted complexity of a group covering of a digraph2012

    • Author(s)
      I. Sato
    • Organizer
      4th Pacific Workshop on Discrete Mathematics
    • Place of Presentation
      Tokai University Pacific Center, Honolulu, Hawaii
    • Related Report
      2012 Research-status Report
  • [Presentation] On the cube of the transition matrix of a discrete-time quantum walk on a graph2012

    • Author(s)
      Yu.Higuchi, N. Konno, I. Sato and E. Segawa
    • Organizer
      Workshop of Quantum Dynamics and Quantum Walks
    • Place of Presentation
      Okazaki Conference Center
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] A generalized Bartholdi zeta function for a hypergraph2012

    • Author(s)
      佐藤巌
    • Organizer
      第24回位相幾何学的グラフ理論研究集会
    • Place of Presentation
      横浜国大
    • Related Report
      2012 Research-status Report
  • [Presentation] Weighted zeta functions for quotients of regular coverings of graphs2012

    • Author(s)
      根上生也, 佐藤厳
    • Organizer
      日本数学会応用数学分科会
    • Place of Presentation
      九州大学
    • Related Report
      2012 Research-status Report
  • [Presentation] グラフの同型問題と量子ウォーク2012

    • Author(s)
      今野紀雄, 佐藤巌
    • Organizer
      日本数学会応用数学分科会
    • Place of Presentation
      九州大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Scattering matrix of a quantum graph2012

    • Author(s)
      今野紀雄, 佐藤巌, 瀬川悦生
    • Organizer
      RIMS共同研究「量子ウォークとその周辺」
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 量子ウォークが周期を持つ有限グラフのいくつかのグラフの例2012

    • Author(s)
      樋口雄介, 佐藤巌
    • Organizer
      RIMS共同研究「量子ウォークとその周辺」
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Quantum walk and the graph isomorphism problem2012

    • Author(s)
      N. Konno, I. Sato
    • Organizer
      2012 Shanghai Conference on Algebraic Combinatorics
    • Place of Presentation
      Shanghai Jiao Tong University
    • Related Report
      2012 Research-status Report
  • [Presentation] Weighted zeta functions for quotients of regular coverings of graphs2012

    • Author(s)
      佐藤巌, 根上生也
    • Organizer
      離散数学とその応用研究集会2012
    • Place of Presentation
      茨城大学
    • Related Report
      2012 Research-status Report
  • [Presentation] グラフの散乱行列とその後と発展2012

    • Author(s)
      樋口雄介, 佐藤巌
    • Organizer
      離散数学とその応用研究集会2012
    • Place of Presentation
      茨城大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 量子ウォークとグラフのゼータ関数2012

    • Author(s)
      今野紀雄, 佐藤 巌
    • Organizer
      離散数学セミナー2012 in 小山
    • Place of Presentation
      小山高専
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] evolution operatorの周期性2012

    • Author(s)
      樋口雄介, 佐藤 巌
    • Organizer
      離散数学セミナー2012 in 小山
    • Place of Presentation
      小山高専
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 量子ウォークとグラフのゼータ関数2012

    • Author(s)
      今野紀雄, 佐藤厳
    • Organizer
      CMRU 研究会「量子確率論と量子ウォーク」
    • Place of Presentation
      東北大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 散乱行列とその周辺2012

    • Author(s)
      樋口雄介, 佐藤厳
    • Organizer
      CMRU 研究会「量子確率論と量子ウォーク」
    • Place of Presentation
      東北大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] グラフの同型問題と量子ウォーク2012

    • Author(s)
      佐藤厳
    • Organizer
      山崎洋平先生ご退職記念研究集会
    • Place of Presentation
      近畿大学
    • Related Report
      2012 Research-status Report
  • [Presentation] A new determinant expression of the zeta function for a hypergraph2012

    • Author(s)
      佐藤巌
    • Organizer
      日本数学会応用数学分科会
    • Place of Presentation
      東京理科大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 量子ウォークとグラフのゼータ関数2012

    • Author(s)
      佐藤巌
    • Organizer
      今野研究室セミナー(招待講演)
    • Place of Presentation
      横浜国立大学
    • Related Report
      2011 Research-status Report
  • [Presentation] The weighted scattering matrix of a regular covering of a graph2012

    • Author(s)
      佐藤巌
    • Organizer
      関西グラフ理論研究集会
    • Place of Presentation
      倉敷芸術工科大学
    • Related Report
      2011 Research-status Report
  • [Presentation] グラフの散乱行列の拡張2011

    • Author(s)
      樋口雄介、佐藤巌
    • Organizer
      2011年度応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Related Report
      2011 Research-status Report
  • [Presentation] A new determinant expression of the zeta function for a hypergraph2011

    • Author(s)
      佐藤巌
    • Organizer
      第23回位相幾何学的グラフ理論研究集会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Scattering matrices of regular coverings of graphs2011

    • Author(s)
      佐藤巌
    • Organizer
      日本数学会応用数学分科会
    • Place of Presentation
      信州大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 量子ウォークとグラフのゼータ関数2011

    • Author(s)
      佐藤巌
    • Organizer
      北海道大学群論セミナー(招待講演)
    • Place of Presentation
      北海道大学
    • Related Report
      2011 Research-status Report
  • [Presentation] グラフのゼータ関数と量子ウォーク2011

    • Author(s)
      佐藤巌
    • Organizer
      室蘭工業大学数理談話会(招待講演)
    • Place of Presentation
      室蘭工業大学
    • Related Report
      2011 Research-status Report
  • [Presentation] The stochastic weighted complexity of a group covering of a digraph2011

    • Author(s)
      佐藤巌
    • Organizer
      離散数学とその応用研究集会
    • Place of Presentation
      奈良
    • Related Report
      2011 Research-status Report
  • [Presentation] グラフの正則被覆の重み付き散乱行列2011

    • Author(s)
      佐藤巌
    • Organizer
      第28回代数的組合せ理論シンポジウム
    • Place of Presentation
      大分大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 量子ウォークとグラフのゼータの関係2011

    • Author(s)
      佐藤巌
    • Organizer
      宇都宮大学教育学部数学科談話会(招待講演)
    • Place of Presentation
      宇都宮大学
    • Related Report
      2011 Research-status Report
  • [Presentation] A note on the discrete-time evolutions for quantum walk

    • Author(s)
      今野紀雄, 佐藤巌, 瀬川悦生, 樋口雄介
    • Organizer
      日本数学会応用数学分科会
    • Place of Presentation
      学習院大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Grover遷移行列の2乗の正台に関するゼータ関数

    • Author(s)
      今野紀雄, 佐藤巌, 瀬川悦生, 樋口雄介
    • Organizer
      量子ウォークミニ研究会
    • Place of Presentation
      横浜国大
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] The weighted complexity of the line digraph of a digraph

    • Author(s)
      佐藤巌
    • Organizer
      田澤先生のご退職記念研究集会
    • Place of Presentation
      近畿大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Quantum walk and graph zeta function of a graph

    • Author(s)
      Yu. U Higuchi, N. Konno, I. Sato, E. Segawa
    • Organizer
      AMS Special Session on Quantum Walks, Quantum Computation, and Related Topics
    • Place of Presentation
      Boltimore Convension center, Boltimore, USA
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] グラフ上量子ウォークに関する固有値写像定理

    • Author(s)
      今野紀雄, 樋口雄介, 瀬川悦生, 佐藤巌
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Related Report
      2013 Research-status Report
  • [Presentation] A note on the discrete-time evolutions for quantum walk

    • Author(s)
      今野紀雄, 佐藤巌, 瀬川悦生, 樋口雄介
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Related Report
      2013 Research-status Report
  • [Presentation] A note on the discrete-time evolutions for quantum walk

    • Author(s)
      Yu. U Higuchi, N. Konno, I. Sato, E. Segawa
    • Organizer
      25 th Conference onTopological Graph Theory
    • Place of Presentation
      Yokohama National University
    • Related Report
      2013 Research-status Report
  • [Presentation] The vertex weighted complexity of a graph

    • Author(s)
      H. Wu, R. Feng, I. Sato
    • Organizer
      日本数学会応用数学分科会
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Research-status Report
  • [Presentation] The vertex weighted complexity of a graph

    • Author(s)
      H. Wu, R. Feng, I. Sato
    • Organizer
      Graph Theory Conference
    • Place of Presentation
      ”Science University of Tokyo
    • Related Report
      2013 Research-status Report
  • [Presentation] Bartholdi zeta function of a periodic simple graph

    • Author(s)
      佐藤巌
    • Organizer
      離散数学とその応用研究集会
    • Place of Presentation
      山形大学
    • Related Report
      2013 Research-status Report
  • [Presentation] グラフの量子ウォークの遷移行列のスペクトル

    • Author(s)
      佐藤巌
    • Organizer
      室蘭工業大学数理科学談話会
    • Place of Presentation
      室蘭工業大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Grover遷移行列とその周辺

    • Author(s)
      佐藤巌
    • Organizer
      今野研究室+竹居研究室合同セミナー
    • Place of Presentation
      横浜国大
    • Related Report
      2013 Research-status Report
    • Invited

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Published: 2011-08-05   Modified: 2019-07-29  

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