Simulated Hill Climbing Search for the Solutions of k-Vertex Cut Problems

Document Type

Conference Proceeding

Publication Date

1-1-2024

Abstract

A k-vertex cut problem aims to find a minimum subset of nodes whose removal decomposes a graph into at least k connected components, which belongs to the family of critical node detection problems. It is an important NP-hard problem with various real-world applications. In this paper, we propose a simple and effective simulated hill climbing search (SHCS) to solve it. SHCS consists of three complementary search phases: forward search, stagnation search and backward search. Extensive experiments on two groups of widely-used benchmark instances are conducted to evaluate performance. The results show that it significantly outperforms the state-of-the-art algorithms in terms of both solution quality and computational time on most of the instances.

Identifier

85208263293 (Scopus)

ISBN

[9798350358513]

Publication Title

IEEE International Conference on Automation Science and Engineering

External Full Text Location

https://doi.org/10.1109/CASE59546.2024.10711754

e-ISSN

21618089

ISSN

21618070

First Page

1729

Last Page

1734

Grant

72371157

Fund Ref

National Natural Science Foundation of China

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