WebMay 1, 2007 · The independence polynomial of a graph G is the polynomial ... (a claw is the graph with vertex set {v 1 ,v 2 ,v 3 ,v 4 } and three edges v 1 v 2 ,v 1 v 3 ,v 1 v 4 ). A graph G is said to be clawfree if no induced subgraph of it is a claw. The main result of this paper is the following, answering a question of Hamidoune [11] that was later ... WebMar 24, 2024 · A perfect matching of a graph is a matching (i.e., an independent edge set) in which every vertex of the graph is incident to exactly one edge of the matching. A perfect matching is therefore a matching containing n/2 edges (the largest possible), meaning perfect matchings are only possible on graphs with an even number of vertices. A …
Zero Forcing in Claw-Free Cubic Graphs SpringerLink
WebGraph Conjecture for claw-free Berge graphs (the rst proof was due to Parthasarathy and Ravindra [7]). However, this still does not describe the class of claw-free perfect graphs completely, as gluing two claw-free Berge graphs together via a clique-cutset may introduce a claw. The purpose of this paper is to give a complete description of the ... WebMar 24, 2024 · The triangle graph is the cycle graph C_3, which is isomorphic to the complete graph K_3 as well as to the complete tripartite graph K_(3×1)=K_(1,1,1) and the triangular snake graph TS_3. The triangle graph is the line graph of both the claw graph and itself. It is a rigid graph. The term "triangle graph" is also used to refer to any … seward glacier cruises
TH ST CONGRESS SESSION S. 1045 - govinfo.gov
http://www.columbia.edu/~mc2775/claws_survey.pdf WebDec 1, 2024 · Abstract. Hole-twins – graphs that arise when a vertex is added to a hole in such a way to form a twin with some vertex of the hole – were discussed in a recent paper by Dai, Foley, and Hoàng where it was shown that there is a polynomial time algorithm to color (c l a w , 4 K 1 , hole-twin)-free graphs. WebJan 1, 2024 · [Show full abstract] (k≥3)-connected claw-free graph with Dil(G)≤2k-5, then G is Hamilton-connected and a Hamilton path between every two vertices in G can be found in polynomial time. sewa remit agent login