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Sufficient conditions for matching extendability in terms...
[Submitted on 26 Nov 2023 (v1), last revised 27 Jul 2026 (this v · 2023-11-26 · via math.CO updates on arXiv.org

This paper has been withdrawn by Shuai Wang

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Abstract:Topological indices are important bridge between graph theory and chemical applications. The study of graph matching expandability has been an influential topic in recent research on graph structure. In this paper, we provide some sufficient conditions for a graph to be $k$-extendable graphs, $n$-factor-critical graphs and $(n,k,d)$-graphs and graphs with prefect matching in terms of a significant type of Topological index: the Zeroth-order General Randić Index ($\alpha\ge-1$ and $\alpha\neq 0$).

Submission history

From: Shuai Wang [view email]
[v1] Sun, 26 Nov 2023 07:29:42 UTC (12 KB)
[v2] Fri, 3 May 2024 09:25:42 UTC (13 KB)
[v3] Sun, 5 Jan 2025 03:58:30 UTC (12 KB)
[v4] Mon, 21 Jul 2025 10:32:50 UTC (11 KB)
[v5] Mon, 27 Jul 2026 08:44:05 UTC (1 KB) (withdrawn)