walk - finite alternating sequence of vertices and edges, beginning and ending with vertices. No edge appears more than once., path - An open walk in which no vertex appears more than once, circuit - A closed walk in which no vertex appears more than once., handshaking theorem - sum of the degrees of the vertices of a graph is twice the number of edges., Hamiltonian circuit - closed walk that traverses every vertex of graph G exactly once except starting and terminal vertex., Simple graph - A graph in which each edge connects two different vertices and where no two edges connect the same pair of vertices., Multigraph - A graph in which multiple edges may connect the same pair of vertices., Complete Graph - graph of n vertices having exactly one edge between each pair of vertices., Tree - graph that is connected and has no cycles., Euler Graph - A connected graph G in which there is a closed trail which includes every edge of the graph G., Hamiltonian Graph - A connected graph G in which there is a cycle which includes every vertex of G., Regular Graph - A graph in which all the vertices have the same degree.,

Graph Theory

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