Strong matching preclusion number of graphs

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August undefined, 2024

WebFeb 8, 2024 · The matching preclusion number of a graph G, denoted by mp (G), is the minimum number of edges whose deletion results in a graph that has neither perfect … WebThe strong matching preclusion number of a graph is the minimum number of vertices and edges whose deletion results in a graph that has neither perfect matchings nor almost …

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WebThis is an extension of the matching preclusion problem and has recently been introduced by Park and Ihm. 15 In this paper, we examine properties of strong matching preclusion … WebMay 11, 2024 · The (conditional) strong matching preclusion number of a graph is the minimum number of vertices and edges whose deletion makes the resulting graph (with no isolated vertices) without perfect matching or almost perfect matching. The enhanced hypercube ... where any vertex is not incident with an edge. The strong matching … breast stinging sensation

Fractional strong matching preclusion for Cartesian product graphs

WebJan 3, 2024 · The strong matching preclusion number (or simply, SMP number) smp (G) of a graph G is the minimum number of vertices and/or edges whose deletion results in a … WebThe Fractional Strong Matching Preclusion Number (FSMP number) of G is the minimum number of vertices and/or edges whose deletion leaves the resulting graph without a fractional perfect matching. In this paper, we obtain the FMP number and the FSMP number for ( n , k )-star graphs. WebThe strong matching preclusion number of a graph is the minimum number of edges and/or vertices whose deletion results in the remaining graph that has neither perfect matchings nor almost perfect matchings. In [14], Wang et al. proved that C k ⋯ C k is super strongly matched, where k (≥ 3) is odd. costumes for halloween in chicago

Strong matching preclusion number of graphs - ScienceDirect

Strong matching preclusion for n-dimensional torus networks

WebJan 8, 2024 · The strong matching preclusion number of a graph, introduced by Park and Ihm in 2011, is the minimum number of vertices and edges whose deletion results in a graph that has neither perfect matchings nor almost perfect matchings. As a generalization, the fractional strong matching preclusion number of a graph is the minimum number of … WebThe strong matching preclusion number (or simply, SMP number) is a generalization of the matching preclusion number; the SMP number of a graph G, smp(G) is the minimum … breast stinging feeling breast stinging

"WebThe strong matching preclusion number of a graph is the minimum number of vertices and edges whose deletion results in a graph that has neither perfect matchings nor almost … " - Strong matching preclusion number of graphs

Strong matching preclusion number of graphs

WebThe strong matching preclusion number of a graph is the minimum number of vertices and edges whose deletion results in a graph that has neither perfect matchings nor almost … WebThe strong matching preclusion number of a graph is the minimum number of vertices and edges whose deletion results in a graph that has neither perfect matchings nor almost-perfect matchings. Park ...

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WebOct 14, 2016 · According to the definition of mp ( G ), for a graph G with the even number of vertices, we have that mp (G)\le \delta (G). A set F of edges and vertices of G is a strong MP set (SMP set for short) if G-F has neither perfect matchings nor almost-perfect matchings. The SMP number of G , denoted by smp ( G ), is the minimum size of SMP sets of G. WebJul 27, 2024 · The fractional matching preclusion number of a graph G, denoted by fmp(G), is the minimum number of edges whose deletion results in a graph with no fractional perfect matchings.Let \(G_{k,n}\) be the complete n-balanced k-partite graph, whose vertex set can be partitioned into k parts, each has n vertices and whose edge set contains all edges …

http://www.joca.cn/EN/10.11772/j.issn.1001-9081.2024030414 Websystems. In this paper, we show that the strong matching preclusion number of an n-dimensional bubble-sort star graph BSn is 2 for n 3 and each op-timal strong matching preclusion set of BSn is a set of two vertices from the same bipartition set. Moreover, we show that the matching preclusion number

Webnication lines. The strong matching preclusion set of Gis a set of vertices and/or edges whose deletion leads to an unmatchable graph. The strong matching preclusion number is the minimum size of strong matching preclusion sets in G. For the same reason Cheng et al. introduced the conditional matching preclusion, Park and Ihm [8] introduced the ... WebThe bubble-sort star graph is one of the validly discussed interconnection networks related to the distributed systems. In this paper, we show that the strong matching preclusion …

WebApr 20, 2024 · The strong matching preclusion number of a graph is the minimum number of vertices and edges whose deletion results in a graph that has neither perfect …

WebThe concept of strong matching preclusion was proposed by Park and Ihm [2]. A setFof vertices and edges in a graph Gis called a strong matching preclusion set SMP set for short if G F− has neither a perfect matching nor an almost perfect matching. The strong matching preclusion number of G, breast stinkWebJul 25, 2024 · Let G be a graph and S\subseteq V (G), we use h (G-S) and c (G-S) to denote the number of isolated vertices and the number of components of G-S, respectively. Then … breasts tinglingWebOct 18, 2024 · The fractional strong matching preclusion number of G is the minimum number of vertices and edges whose deletion leaves the resulting graph without a fractional perfect matching. In this paper, we obtain the fractional matching preclusion number and the fractional strong matching preclusion number for pancake graphs and burnt pancake … costumes for girls kidsWebThe bubble-sort star graph is one of the validly discussed interconnection networks related to the distributed systems. In this paper, we show that the strong matching preclusion number of an n-dimensional bubble-sort star graph BS_n is 2 for n≥3 and each optimal strong matching preclusion set of BS_n is a set of two vertices from the same ... breasts tingling sign of pregnancyWebThe strong matching preclusion number of a graph is the minimum number of vertices and edges whose deletion results in a graph that has neither perfect matchings nor almost … costumes for halloween 2018WebJun 1, 2016 · The strong matching preclusion number of a graph is the minimum number of vertices and edges whose deletion results in a graph with neither perfect matchings nor … costumes for halloween menWebAug 9, 2024 · The conditional fractional strong matching preclusion number of a graph G is the minimum size of F such that . F ⊂ V (G) ∪ E (G) and G−F has neither a fractional perfect matching nor an isolated vertex. In this paper, we obtain the conditional fractional strong matching preclusion number for burnt pancake graphs and a subset of the class ... costumes for halloween kids