Locally conditions for a graph to be Hamilton-(connected)

来源 :第六届全国组合数学与图论大会 | 被引量 : 0次 | 上传用户:hanyan0503
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A parameter is locally if it involves an induced subgraph of G that is isomorphic to a given graph H (for example, minimum degree, and so on); global, otherwise (for example, minimum degree sum of an independent set, connectivity, independence number and so on).Similarly, a property of a graph G is called locally if it involves an induced subgraph of G that is isomorphic to a given graph H (for example, forbidden subgraph,and so on); global, otherwise (for example, bipartite graphs (without odd cycle) and so on).Those parameter or property guaranteeing a graph to be hamiltonian is called to be locally condition.A classic parameter or property guaranteeing a graph to be hamiltonian often makes those graphs to have many edges (these graph is called dense).
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