Binding number for path-factor uniform graphs

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 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. …

BINDING NUMBER FOR PATH-FACTOR UNIFORM …

WebDec 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 WebMar 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 how to space bullets in word https://riedelimports.com

Binding number conditions for P≥2-factor and P≥3-factor …

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 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 … WebApr 12, 2013 · AbstractLet G be a graph. For a set ℋ of connected graphs, a spanning subgraph H of a graph G is called an ℋ-factor of G if each component of H is isomorphic to a member of ℋ. An ℋ-factor is also referred as a component factor. If G − e admits an ℋ-factor for any e∈ E(G), then we say that G is an ℋ-factor deleted graph. Let k ≥ 2 be an … raven vs whisper

Remarks on Component Factors SpringerLink

Category:Two sufficient conditions for component factors in graphs

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Binding number for path-factor uniform graphs

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

WebDec 3, 2024 · graph toughness isolated toughness P≥3-factor (P≥3, k)-factor-critical covered graph MSC classification Primary: 05C70: Factorization, matching, partitioning, covering and packing Secondary: 05C38: Paths and cycles Type Research Article Information Bulletin of the Australian Mathematical Society , Volume 106 , Issue 2 , … 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 …

Binding number for path-factor uniform graphs

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WebOct 19, 2024 · The binding number condition of a graph is often used to gauge the vulnerability and robustness of a network, which plays a key role in data transmission, network design, etc. In this article, we discuss only finite simple graphs. Let G be a graph with vertex set V ( G) and edge set E ( G ). 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 …

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 … Webd-factor uniform graph if for any e 2E(G), G e is a P d-factor covered graph. Furthermore, they showed two binding number conditions for graphs to be P 2-factor and P 3-factor …

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 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 …

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.

WebJul 15, 2024 · A spanning subgraph F of G is called a path-factor if each component of F is a path. A P_ {\ge k} -factor of G means a path-factor such that each component is a path with at least k vertices, where k\ge 2 is an integer. A graph G is called a P_ {\ge k} -factor covered graph if for each e\in E (G), G has a P_ {\ge k} -factor covering e. raven x beast boy fan arthttp://simplebasics.net/ui%20controls/error-two-way-binding-requires-path-or-xpath/ raven\\u0027s breathWebSearch 206,462,984 papers from all fields of science. Search how to space ceiling beamsWebJul 4, 2024 · Zhou, Bian and Pan [Discrete Appl. Math. (2024) in press] showed that an (n+2)-connected graph G is (P≥3,n)-factor critical deleted if its binding number bind … raven wheel of fortuneraven\\u0027s heartWebA 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... raven wednesday dressWebDec 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 … raven watching