Binding number for path-factor uniform graphs

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August undefined, 2024

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... 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

Isolated toughness for path factors in networks - Semantic Scholar

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 … 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 … candelabra socket covers bronze

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

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. … WebA 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 candela gourmand bar

Network performance analysis from binding number prospect

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

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 ... 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 … fish oil bangladeshWebJul 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]... fish oil belching

"WebFeb 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 $P_{\ge 3}$ … " - Binding number for path-factor uniform graphs

Binding number for path-factor uniform graphs

Binding number and path-factor critical deleted graphs

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.

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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 · 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. …

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 … 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. …

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 ... 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 …

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

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), … fish oil before bed weight lossWebDec 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 … candela gentlemax pro skin tighteningWebS. 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 … candela hair removal near meWebDec 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 … fish oil beneWebJun 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 fish oil before biopsyWebDec 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 … fish oil before blood testWeb3 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 … candelabra socket for c7 light bulb