Tree-width driven SDP for MAX CUT problem

21 May 2024, 14:17
12m
107 БК (БиоКорпус, 1 эт.) (МФТИ)

107 БК (БиоКорпус, 1 эт.)

МФТИ

Computer & Data Science 21 Computer & Data Science

Speaker

Sergei Anikin (MIPT)

Description

This research addresses the well-known Max Cut problem, which has various applications both in machine learning and theoretical physics. The Max Cut problem is computationally NP-hard over general graphs. This research presents a novel empirical approach aimed at enhancing the quality of Max-Cut approximations within polynomial time bounds. While the problem is tractable for graphs with small tree-width, its solution over general graphs often relies on Semi-Definite Programming or Lovász-Schrijver relaxations. We achieve the described improvement of approximation quality by combining relaxation approaches and tree-width driven k-diagonal ideas

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