Binding number for path-factor uniform graphs

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August undefined, 2024

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 ). 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 and path-factor critical deleted graphs

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 … 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 canon dr c225 ii software download

Binding number and path-factor critical deleted graphs

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 . 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 ... WebMar 1, 2024 · Let k ≥ 2 be an integer, and let G be a graph. A spanning subgraph F of a graph G is called a P ≥ k-factor of G if each component of F is a path of order at least k. … flag of tyne and wear

Independence Number, Connectivity and All Fractional (a, b, k) …

TOUGHNESS, ISOLATED TOUGHNESS AND PATH …

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 … WebJul 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 … flag of umbriaWebDec 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 … canon dr-c230 scanner brochure

"WebS. 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 … " - Binding number for path-factor uniform graphs

Binding number for path-factor uniform graphs

Path-factor critical covered graphs and path-factor uniform …

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 … http://simplebasics.net/ui%20controls/error-two-way-binding-requires-path-or-xpath/

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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 … 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 …

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), …

WebAug 26, 2014 · Here you prefer the control to take the default value which is set by the ContentControl or TemplateParent. If you try to bind it like this, you will get an exception … 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 , …

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 …

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 … canon dr c225 software installationWebJul 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. flag of ukraine pictureWebA 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... canon dr-c240 double feed overrideWebcorresponding graph of the network is a path-factor uniform graph. We nd that there are strong essential connection between some graphic parameters (for instance, degree and binding number, and so on) and the existence of path-factors in graphs (or path-factor uniform graphs), and hence investigations E-mail address: zsz [email protected] (S. … canon dr c240 brochureWebMar 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 flag of ulWebJun 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. flag of unescoWebJul 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]... canon dr-c225 exchange roller kit