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arXiv · 2402.02083

Graph Configurations and Independent Bondage Numbers of Planar Graphs

E. G. K. M. Gamlath·Bing Wei·Talmage James Reid
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Abstract

The independent domination number of a finite graph G is the minimum cardinality of an independent dominating set of vertices. The independent bondage number of G is the minimum cardinality of a set of edges whose deletion results in a graph with a larger independent domination number than that of G. In this research, we enhance the existing upper bound on the independent bondage number of a planar graph with a minimum degree of at least three by identifying specific configurations within such planar graphs.

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E. G. K. M. Gamlath, Bing Wei, Talmage James Reid. 2024-02-03. Graph Configurations and Independent Bondage Numbers of Planar Graphs. https://arxiv.org/abs/2402.02083

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