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. 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 …
Research on Fractional Critical Covered Graphs
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 … 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 ... hiking virginia triple crown
Isolated toughness and path-factor uniform graphs RAIRO
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 … 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 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. … hiking virgin river zion national park