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Extremal problems in graphs, their generalizations and applications to tensor networks and computer science

Research Project

Project/Area Number 24K22830
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeMulti-year Fund
Review Section 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Research InstitutionThe University of Tokyo

Principal Investigator

MUKHERJEE SAYAN  東京大学, 大学院理学系研究科(理学部), 特任助教 (90998527)

Project Period (FY) 2024-07-31 – 2026-03-31
Project Status Granted (Fiscal Year 2024)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2025: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2024: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
KeywordsGraph Theory / Extremal Combinatorics / Tensor Networks / Computer Science
Outline of Research at the Start

In extremal graph theory, people are interested in analyzing the structure of graphs that maximize or minimize some graph parameter under given constraints. We plan to analyze such extremal problems, and their applications to diverse areas such as optimizing tensor network contraction, social network analysis, and different areas of computer science. We will make use of tools such as algebra, probability theory and other mathematical tools, as well as techniques involving algorithms and programming.

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Published: 2024-08-01   Modified: 2024-09-13  

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