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The shortest path-spanning tree from a graph vertex of a 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 ...
The Kirchhoff index Kf, also simply called the resistance and denoted R (Lukovits et al. 1999), of a connected graph G on n nodes is defined by ...
A tree G^' whose graph vertices and graph edges form subsets of the graph vertices and graph edges of a given tree G.
A graph vertex in a graph is said to be an odd node if its vertex degree is odd.
An integral embedding of a graph, not to be confused with an integral graph, is a graph drawn such that vertices are distinct points and all graph edges have integer lengths. ...
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 Hajós number h(G) of a graph G is the maximum k such that G contains a subdivision of the complete graph K_k.
Let graph G have p points v_i and graph H have p points u_i, where p>=3. Then if for each i, the subgraphs G_i=G-v_i and H_i=H-u_i are isomorphic, then the graphs G and H are ...
Let f be a fractional coloring of a graph G. Then the sum of values of f is called its weight, and the minimum possible weight of a fractional coloring is called the ...
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