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In a graph G, two graph vertices are adjacent if they are joined by a graph edge.
A graph vertex in a graph is said to be an even node if its vertex degree is even.
The number of inward directed graph edges from a given graph vertex in a directed graph.
A generalized hexagon is a generalized polygon of order 6. GH(1,2) is more commonly known as the Heawood graph, but is also the (3,6)-cage graph, the cubic vertex-transitive ...
Graph Strength
Grünbaum conjectured that for every m>1, n>2, there exists an m-regular, m-chromatic graph of girth at least n. This result is trivial for n=2 and m=2,3, but only a small ...
A graph vertex in a graph is said to be an odd node if its vertex degree is odd.
If a graph G has n graph vertices such that every pair of the n graph vertices which are not joined by a graph edge has a sum of valences which is >=n, then G is Hamiltonian. ...
A point v is a central point of a graph if the eccentricity of the point equals the graph radius. The set of all central points is called the graph center.
The number of outward directed graph edges from a given graph vertex in a directed graph.
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