On the decomposition of a graph into stars
WebA Self-stabilizing Algorithm for Maximal p-Star Decomposition of General Graphs. Authors: ... Web1 de jan. de 2016 · A double-star with degree sequence (k1 +1, k2 +1, 1, ⋯ , 1) is denoted by Sk1,k2 . We study the edge-decomposition of graphs into double-stars. It was …
On the decomposition of a graph into stars
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Web20 de mai. de 2015 · A double-star with degree sequence is denoted by . We study the edge-decomposition of regular graphs into double-stars. It was proved that every double-star of size decomposes every -regular graph. In this paper, we extend this result to -regular graphs, by showing that every -regular graph containing two disjoint perfect … Web28 de ago. de 2010 · In this paper we investigate the decomposition of K n into paths and stars, and obtain the following results. Theorem A. Let p and q be nonnegative integers …
Web15 2n-regular graph. We also show that the double-star S k;k 1 decomposes every 2k-regular graph 16 that contains a perfect matching. 17 Keywords: Graph decomposition, double-stars. 18 2010 Mathematics Subject Classi cation: 05C51, 05C05. 19 1. Introduction 20 By a decomposition of a graph G we mean a sequence H 1;H 2;:::;H k of subgraphs … Webgraph into 2-stars. Having taken care of these preliminary cases, we only consider decomposition into K. 1;t ’s where t 3 from this point forward. 3 Necessary conditions. It is our goal here to nd conditions for the decomposition of the complete split graph into stars in terms of the number of vertices in the clique and independent
Web1 de ago. de 2010 · As usual Kn denotes the complete graph on n vertices. In this paper we investigate the decomposition of Kn into paths and stars, and prove the following … WebBesides, decompositions of graphs into k-stars have also attracted a fair share of interest (see [9,25,39,41,43,44]). Moreover, decompositions of graphs into k-cycles have been a popular topic of research in graph theory (see [10,27] for surveys of this topic). The study of the {G,H}-decomposition was introduced by Abueida and Daven in [1].
WebOur technique is based on the decomposition of graphs into a set of substructures which are subsequently matched with the stable marriage algorithm. In this paper, we address …
WebIt is known that whenever υ(υ-1) ≡ 0 (mod 2m) and υ≥2m, the complete graph K υ can be decomposed into edge disjoint, m-stars [1,2]. In this paper we prove that K υ can be … simplicity\u0027s 34WebThe bounds are best possible, in the sense that there exist infinitely many graphs G with δ(G) ≥ 2k - 2 and without such a decomposition. Let k be a positive integer and G be a graph. If d(u) + d(v) ≥ 4k - 3 for any uv ∈ E(G), then G admits a star decomposition in which all stars have size at least k. In particular, every graph G with δ(G) ≥ 2k - 1 admits … simplicity\u0027s 36Web3 de abr. de 2024 · We prove the following theorem. Let G be an eulerian graph embedded (without crossings) on a compact orientable surface S. Then the edges of G can be … simplicity\\u0027s 38Web31 de jan. de 2024 · For the case of H-decomposition where H is a family of stars, Tarsi gave sufficient and necessary condition for the decomposition of a graph G into a sequence of stars of given cardinality . More close to our setting, in , Zhao and Wu show that any graph G of minimum degree δ ≥ 2 k − 1 can be decomposed into stars of size ≥ k. raymond forklift code 26Web22 de abr. de 2024 · In this paper, we study about the existence of a decomposition of complete bipartite graphs into p copies of C 4 and q copies of S 4 for all possible values … simplicity\\u0027s 33Web1 de nov. de 2011 · Let C k denote a cycle of length k and let S k denote a star with k edges. As usual K n denotes the complete graph on n vertices. In this paper we … simplicity\\u0027s 34Web31 de jan. de 2024 · Problems of graph decomposition have been actively investigated since the 70’s. The question we consider here also combines the structure of a facility location problem (choosing the centres of the stars) with a max–min fairness optimization criterion that has recently received attention in resource allocation problems, e.g., the … simplicity\\u0027s 36