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Showing 1 to 3 of 3 for “"Graph packing"”.
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Sufficient conditions for the existence of specified subgraphs in graphs
A classical problem in combinatorics is, given graphs G and H, to determine if H is a subgraph of G. It is usually computationally complex to determine if H is a subgraph of G. Therefore, we often prove conditions that are sufficient to guarantee that a graph G contains H as a subgraph. In Chapter …
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Sufficient degree conditions for graph embeddings
… on the sufficient conditions to guarantee one graph being the subgraph of another. In Chapter 2, we discuss list packing, a modification of the idea of graph packing. This is fitting one graph in the complement of another graph. Sauer and Spencer showed a sufficient bound involving maximum …
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Extremal problems on cycles, packing, and decomposition of graphs
… extremal problems concerning cycles and paths in graphs, graph packing, and graph decomposition. We use “graph” in the general sense, allowing loops and multi-edges. The Chv´atal–Erd˝os Theorem states that every graph whose connectivity is at least its independence number has a spanning cycle. In …