WebA graph is claw-free if no vertex has three pairwise nonadjacent neighbours. In earlier papers of this series we proved that every claw-free graph either belongs to one of … WebMar 1, 2008 · Claw-free graphs. V. Global structure. Article. Nov 2008; Maria Chudnovsky; Paul Seymour; A graph is claw-free if no vertex has three pairwise nonadjacent neighbours. In earlier papers of this ...
On the structure of (claw, bull)-free graphs
WebThe purpose of this paper is to give a complete description of the structure of claw-free perfect graphs. Chudnovsky and Seymour proved a structure theorem for general claw-free graphs [2] and quasi-line graphs (which are a subclass of claw-free graphs) in [3]. Later we will show that every perfect claw-free graph is a quasi-line graph, however ... WebNov 1, 2008 · It basically asserts that for every connected claw-free graph G, either V (G) is the union of three cliques, or G is some kind of "generalized line graph" which admits a … gold cup horses running today
Claw-free graph - Wikipedia
WebTheorem 1.2. Let G be a 2-connected claw-free graph on n ≥ 24 vertices. If e(G) ≥ e(EB n) = e(EB′), then G is Hamiltonian unless G = EBn or G = EB′ (see Figure 2). Kn−6 EB n Kn−6 EB′ Figure 2: Graphs EBn and EB′ n Moreover, we prove a general Erd˝os-type result for the Hamiltonicity of 2-connected claw-free graphs involving minimum degree and … WebMar 6, 2024 · In graph theory, an area of mathematics, a claw-free graph is a graph that does not have a claw as an induced subgraph.. A claw is another name for the complete bipartite graph K 1,3 (that is, a star graph comprising three edges, three leaves, and a central vertex). A claw-free graph is a graph in which no induced subgraph is a claw; … Web(a) The correlation between the global graph measures for more than 10 3 graphs generated by the Barabási−Albert scale−free model with V ∈ [1500, 2500], m 0 = 5 and m = 4. ( b ) The correlation between the local measures of each vertex of the graph generated by the Barabási−Albert scale−free model with V = 2500 , m 0 = 5 and m = 4 . hcpc portable oxygen tank