Hamiltonian graph

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• Hamiltonian graph — noun A graph for which there is a Hamiltonian cycle …   Wiktionary

• Hamiltonian path — This article is about the overall graph theory concept of a Hamiltonian path. For the specific problem of determining whether a Hamiltonian path or cycle exists in a given graph, see Hamiltonian path problem. A Hamiltonian cycle in a dodecahedron …   Wikipedia

• Graph toughness — In graph theory, toughness is a measure of the connectivity of a graph. A graph G is said to be t tough if, for every k > 1, G cannot be split into k different connected components by the removal of fewer than tk vertices. For instance, a graph… …   Wikipedia

• Hamiltonian — may refer toIn mathematics : * Hamiltonian system * Hamiltonian path, in graph theory * Hamiltonian group, in group theory * Hamiltonian (control theory) * Hamiltonian matrix * Hamiltonian flow * Hamiltonian vector field * Hamiltonian numbers (or …   Wikipedia

• Hamiltonian path problem — This article is about the specific problem of determining whether a Hamiltonian path or cycle exists in a given graph. For the general graph theory concepts, see Hamiltonian path. In the mathematical field of graph theory the Hamiltonian path… …   Wikipedia

• Glossary of graph theory — Graph theory is a growing area in mathematical research, and has a large specialized vocabulary. Some authors use the same word with different meanings. Some authors use different words to mean the same thing. This page attempts to keep up with… …   Wikipedia

• Hamiltonian completion — The Hamiltonian completion problem is to find the minimal number of edges to add to a graph to make it Hamiltonian.The problem is clearly NP hard in general case (since its solution gives an answer to the NP complete problem of determining… …   Wikipedia

• graph theory — Math. the branch of mathematics dealing with linear graphs. [1965 70] * * * Mathematical theory of networks. A graph consists of nodes (also called points or vertices) and edges (lines) connecting certain pairs of nodes. An edge that connects a… …   Universalium

• Graph theory — In mathematics and computer science, graph theory is the study of graphs : mathematical structures used to model pairwise relations between objects from a certain collection. A graph in this context refers to a collection of vertices or nodes and …   Wikipedia

• Hamiltonian path — noun A path through an undirected graph which visits each vertex exactly once …   Wiktionary

• Odd graph — The Petersen graph as an odd graph O3 Vertices Edges …   Wikipedia