Binding number for path-factor uniform graphs

Author: avyo

August undefined, 2024

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 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 …

TOUGHNESS, ISOLATED TOUGHNESS AND PATH …

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), … http://simplebasics.net/ui%20controls/error-two-way-binding-requires-path-or-xpath/ green button isle roblox

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

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 WebApr 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. … 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 … green button initiative

Isolated toughness for path factors in networks - Semantic Scholar

Degree conditions for fractional (a, b, k)-critical covered 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. 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 ). flowetry hairWebMay 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 ... flow essex

"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

Binding number for path-factor uniform graphs

$Degree conditions for fractional (a, b, k)-critical covered graphs ...$

WebA 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... Webcorresponding 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. …

Did you know?

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 … 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]...

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 … 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 …

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 . 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 …

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 …

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 … flow ethical credit management flowe trustpilotWebJun 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. flow essex ctWebJul 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 … green button legislationWebAug 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 … green button money clickerWebDec 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 floweth with milk and honeyWebJan 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 ... green button london hydro