Binding number for path-factor uniform graphs

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August undefined, 2024

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 … 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 ).

Research on Fractional Critical Covered Graphs SpringerLink

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 … 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 … fishingnice.com reviews

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

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 … 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 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... can butterflies make silk

Isolated toughness and path-factor uniform graphs (II)

TOUGHNESS, ISOLATED TOUGHNESS AND PATH FACTORS IN 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 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 … fishing nh lakesWebDec 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 … fishingnice.com

"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

Binding number for path-factor uniform graphs

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

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 , … 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

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WebMar 1, 2024 · We present the definition of a P ≥ k-factor uniform graph, i.e., for any two distinct edges e 1 and e 2 of G, G admits a P ≥ k-factor including e 1 and excluding e 2. … 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. …

WebSearch 206,462,984 papers from all fields of science. Search 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. …

WebDec 1, 2024 · In fact, 9 4 is not the best binding number bound for P ≥ 3 -factor uniform graphs, and this result has a lot of room for improvement. It motivates us to determine the sharp binding number condition, and the main result of this paper states that the sharp binding number condition is, in fact, 5/3. Theorem 1 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.

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 …

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 fishing new zealand south islandWebApr 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 … fishing nhWebApr 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 fishing n huntingWebFeb 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 … can butterflies make honey can butterflies see colorWebJul 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 … fishing niagara falls ontarioWebA 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 fishing nice phone number