WebThis is a step towards the main goal of this series, to find a structural characterization of all claw-free graphs. This paper also gives an analysis of the connected claw-free graphs … 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 …
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WebApr 15, 1998 · Recently, Ryjáček introduced an interesting new closure concept for claw-free graphs, and used it to prove that every nonhamiltonian claw-free graph is a spanning subgraph of a nonhamiltonian line graph (of a triangle-free graph). We discuss the relationship between Ryjáček's closure and the K 4-closure introduced by the first author. WebAug 20, 1992 · A graph G is claw-free if it contains n' induced subgraph isomorphic to the complete bipartite graph K1,3. Claw-free graphs have been widely studied in graph theory in connection with such diverse concepts as indepen-dent sets, perfect graphs, Hamiltonian (and other traversability) properties, reconstruction and matching. butcher block laundry room
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WebFeb 10, 1997 · In this paper we summarize known results on claw-free graphs. The paper is subdivided into the following chapters and sections: 1. 1. Introduction. 2. 2. Paths, … 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 ... WebExplore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. ccs for vacation care