On a contraction-like property of dismantlable graphs

Shravan Luckraz

doi:10.1016/j.cam.2022.114992

On a contraction-like property of dismantlable graphs

Shravan Luckraz

Centre for Decision Research and Experimental Economics China

Research output: Journal Publication › Article › peer-review

1 Citation (Scopus)

Abstract

In a recent paper, Baradol, Gopal and Radenović (2020) study the contraction properties of mappings on rectangular metric spaces endowed with a digraph. In this paper, we show that a class of mappings on dismantlable undirected graphs have a natural contraction-like property acting on a spanning tree of the graph. We propose further characterizations of dismantlable graphs and apply our results to pursuit-evasion games on graphs.

Original language	English
Article number	114992
Journal	Journal of Computational and Applied Mathematics
Volume	423
DOIs	https://doi.org/10.1016/j.cam.2022.114992
Publication status	Published - 15 May 2023

Keywords

Game theory
Graph theory
Pursuit games

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2022.114992

Cite this

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title = "On a contraction-like property of dismantlable graphs",

abstract = "In a recent paper, Baradol, Gopal and Radenovi{\'c} (2020) study the contraction properties of mappings on rectangular metric spaces endowed with a digraph. In this paper, we show that a class of mappings on dismantlable undirected graphs have a natural contraction-like property acting on a spanning tree of the graph. We propose further characterizations of dismantlable graphs and apply our results to pursuit-evasion games on graphs.",

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AB - In a recent paper, Baradol, Gopal and Radenović (2020) study the contraction properties of mappings on rectangular metric spaces endowed with a digraph. In this paper, we show that a class of mappings on dismantlable undirected graphs have a natural contraction-like property acting on a spanning tree of the graph. We propose further characterizations of dismantlable graphs and apply our results to pursuit-evasion games on graphs.

KW - Game theory

KW - Graph theory

KW - Pursuit games

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DO - 10.1016/j.cam.2022.114992

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On a contraction-like property of dismantlable graphs

Abstract

Keywords

ASJC Scopus subject areas

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