Binding number for path-factor uniform graphs
WebThe relationship between fractional matching extendable and binding number in networks, as well as the inner connection between binding number and the fractional (g, f, n)-critical deleted graphs are investigated. As a parameter from the perspective of neighborhood structure in network, binding number is applied to measure the vulnerability of the … WebMay 30, 2024 · In this paper, we investigate the relationship between the binding numbers of graphs and the fractional ID-$[a,b]$-factor-critical covered graphs, and derive a binding number condition for a graph ...
Binding number for path-factor uniform graphs
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WebFeb 1, 2024 · Some sufficient conditions for path-factor uniform graphs Sizhong Zhou, Zhiren Sun, Hong-xia Liu Mathematics 2024 For a set H of connected graphs, a spanning subgraph H of G is called an H -factor of G if each component of H is isomorphic to an element of H . A graph G is called an H -factor uniform graph if for… Expand PDF … WebJan 1, 2024 · Kelmans [6] showed some sufficient conditions for graphs to have path-factors. Zhou [10], Zhou, Bian and Sun [13] derived some sufficient conditions for graphs to be P ≥3 -factor covered graphs ...
Web3 Binding number for path-factor uniform graphs 27 THEOREM 8. A 3-connected graph G is a P 2-factor uniform graph if bind(G)>1. THEOREM 9. A 3-connected graph G is a … WebFor a connected graph G, its binding number, denoted by bind ( G ), was defined as bind ( G) = min { N G ( X) X : ∅ ≠ X ⊆ V ( G), N G ( X) ≠ V ( G) }. For a family of connected …
WebJun 9, 2024 · In this paper the properties of fractional factors of graphs are discussed.The isolated toughness of graph is defined and the relationship between the isolated toughness and fractional factors of… 13 Binding number conditions for P≥2-factor and P≥3-factor uniform graphs Sizhong Zhou, Zhiren Sun Mathematics Discret. Math. 2024 26 WebJun 9, 2024 · The main contributions in this remark are two folded: (1) we reveal that the existence of some special component factors is equal to some specific binding number conditions; (2) the parameter conditions for a graph G with a P_ {\tiny {\geqslant 3}} -factor are determined. 1 Introduction Graphs discussed in this remark are simple graphs.
WebSearch 206,462,984 papers from all fields of science. Search f scott fitzgerald quotes on loveWebApr 1, 2010 · A path-factor is a spanning subgraph F of G such that every component of F is a path with at least two vertices. Let k ≥ 2 be an integer. A P ≥ k -factor of G means a path factor in which each… Expand 6 PDF View 1 excerpt, cites background Some Results on Path-Factor Critical Avoidable Graphs Sizhong Zhou Mathematics Discuss. Math. … f scott fitzgerald printshttp://simplebasics.net/ui%20controls/error-two-way-binding-requires-path-or-xpath/ gifts for 17 year old girl from boyfriendWebA graph G is called a P≥3-factor covered graph if G has a P≥3-factor including e for any e ∈ E (G). In this paper, we obtain three sufficient conditions for graphs to be P≥3-factor covered graphs. Furthermore, it is shown that the results are sharp. View via Publisher dmgt.uz.zgora.pl Save to Library Create Alert Cite 15 Citations Citation Type gifts for 17 year old girls june birthdayWebNov 29, 2010 · There is a significant difference here which you will run into as soon as you have a complex property path with typed parameters.. Conceptually they are equivalent … f scott fitzgerald quotes about parisWebA graph G is called a P ≥d -factor uniform graph if for any e ∈ E (G), the graph G−e is a P ≥d -factor covered graph. Zhou and Sun [27] showed binding number conditions for a... gifts for 17 year old granddaughterWebDec 1, 2024 · Graph Theory 2024 Abstract A path factor is a spanning subgraph F of G such that every component of F is a path with at least two vertices. We write P≥k = {Pi : i ≥ k}. Then a P≥k-factor of G means a path factor in… 17 Binding numbers and restricted fractional (g, f)-factors in graphs Sizhong Zhou Mathematics Discret. Appl. Math. 2024 22 gifts for 17 year olds boys