Graph packing
WebMay 9, 2009 · Abstract. Let H be any graph. We determine up to an additive constant the minimum degree of a graph G which ensures that G has a perfect H -packing (also called an H -factor). More precisely, let δ ( H,n) denote the smallest integer k such that every graph G whose order n is divisible by H and with δ ( G )≥ k contains a perfect H … WebNov 17, 2024 · Schematic illustrations of five packing motifs in molecular crystals with layered structures. Each segment represents a single molecule. (a) Herringbone. (b) Pi-stacking flip. (c) Pi-stacking parallel. (d) Dimer herringbone. (e) Dimer pi …
Graph packing
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WebAug 6, 2016 · Graph packing Maximum degree Edge sum List coloring 1. Introduction The notion of graph packing is a well-known concept in graph theory and combinatorics. Two graphs on nvertices are said to packif there is an edge-disjoint placement of the graphs onto the same set of vertices. WebAug 9, 2016 · An input graph is called well-packable if the packing can be finished independently of the strategies of the players. We present several sufficient and some necessary conditions in special classes of graphs for being well-packable. Section 3 is devoted to the study of connected-online packing. A graph is called connected-online …
WebFor graphs, this means that G is a subgraph of the complement H of H,or, equivalently, H is a subgraph of the complement G of G. Some milestone results on extremal graph … WebCycle packing David Conlon Jacob Foxy Benny Sudakovz Abstract In the 1960s, Erd}os and Gallai conjectured that the edge set of every graph on nvertices can be partitioned …
WebAug 1, 2007 · Packing and decomposition of combinatorial objects such as graphs, digraphs, and hypergraphs by smaller objects are central problems in combinatorics and combinatorial optimization. Their study combines probabilistic, combinatorial, and …
WebThis paper surveys results concerning packing/covering parameters and representation parameters of graphs and posets. We start from the poset param¬eters known as width and dimension. We consider generalizations, related ques¬tions, and analogous parameters for graphs and/or directed graphs.
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