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Binding number for path-factor uniform graphs

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. WebAug 15, 2024 · A path factor of G is a spanning subgraph of G such that its each component is a path. A path factor is called a P≥n-factor if its each component admits …

Research on Fractional Critical Covered Graphs

WebJul 1, 2024 · The concept of path-factor uniform graph was first presented by Zhou and Sun [28], and they showed a binding number condition for the existence of P ≥3 -factor … 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 ... hiking virginia triple crown https://benwsteele.com

Isolated toughness and path-factor uniform graphs RAIRO

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 … WebA path-factor in a graph is a spanning subgraph of such that every component of is a path. Let and be two nonnegative integers with ≥2. A ≥ -factor of is its spanning subgraph each of whose components is a path with at least vertices. A graph is called a ≥ -factor covered graph if for any ∈ ( ), admits a ≥ -factor containing . WebJul 20, 2024 · A path-factor in a graph G is a spanning subgraph F of G such that every component of F is a path. Let d and n be two nonnegative integers with d ≥ 2. A P≥d-factor of G is its spanning subgraph each… Expand PDF The existence of path-factor uniform graphs with large connectivity Sizhong Zhou, Qiuxiang Bian Mathematics RAIRO Oper. … hiking virgin river zion national park

Tight binding number bound for P≥3-factor uniform graphs

Category:Binding number and path-factor critical deleted graphs

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Binding number for path-factor uniform graphs

Some results about component factors in graphs - ResearchGate

WebNov 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 … 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 …

Binding number for path-factor uniform graphs

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WebApr 1, 2009 · A path-factor in a graph G is a spanning subgraph F of G such that every component of F is a path. Let d and n be two nonnegative integers with d ≥ 2. A P≥d-factor of G is its spanning subgraph each… Expand PDF Remarks on path factors in graphs Sizhong Zhou Mathematics RAIRO Oper. Res. 2024 TLDR WebDec 3, 2024 · We demonstrate that (i) a (k + 1) -connected graph G with at least k + 3 vertices is a (P ≥ 3, k) -factor-critical covered graph if its toughness t(G) > (2 + k) / 3 …

http://simplebasics.net/ui%20controls/error-two-way-binding-requires-path-or-xpath/ WebDec 1, 2024 · In this paper, we determine sharp bound of binding number for a graph G to be P ≥ 3-factor uniform. It seems that this concept can be further extended to a more …

WebApr 12, 2013 · 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 which every component admits at least k vertices, where k ≥ 2 is an integer. A graph G is called a P≥k-factor avoidable graph if for any e ∈ E(G), … 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

WebJul 1, 2024 · The relationships between binding number, isolated toughness and graph factors can be found in [2, 6, 17,24,25]. Many other results on graph factors can be discovered in [7,11, [14]...

WebDec 1, 2024 · Recently, Zhou and Sun proved that a 2-edge-connected graph G is a P ≥ 3-factor uniform graph if b i n d ( G ) > 9 4. However, the maximum known binding … small white round bedside tableWebFeb 28, 2024 · The concept of path-factor uniform graph was first presented by Zhou and Sun , and they showed a binding number condition for the existence of \(P_{\ge 3}\) … small white round pill m 15WebMar 1, 2024 · Binding number Path factor P ≥ 2 -factor uniform graph P ≥ 3 -factor uniform graph Cited by (0) ☆ This work is supported by 333 Project of Jiangsu Province, Six Big Talent Peak of Jiangsu Province (Grant No. JY–022) and the National Natural Science Foundation of China (Grant No. 11371009 ). View full text small white round pill tv 308WebMay 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 ... small white round pill s 111WebFeb 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 … small white round pillsWebS. Zhou and Z. Sun, Binding number conditions for P ≥2-factor and P ≥3-factor uniform graphs. Discrete Math. 343 (2024) 111715. [Google Scholar] S. Zhou and Z. Sun, A … hiking vs walking calories burnedWebSearch 206,462,984 papers from all fields of science. Search small white round pill w 281