For a graph G and an integer t we let mcct(G) be the smallest m such that there exists a coloring of the vertices of G by t colors with no monochromatic connected subgraph having ...
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
Graph pattern matching is often defined in terms of subgraph isomorphism, an np-complete problem. To lower its complexity, various extensions of graph simulation have been consid...
Shuai Ma, Yang Cao, Wenfei Fan, Jinpeng Huai, Tian...
It is known that, for every constant k 3, the presence of a k-clique (a complete subgraph on k vertices) in an n-vertex graph cannot be detected by a monotone boolean circuit usi...
A nonincreasing sequence of nonnegative integers = (d1, d2, ..., dn) is graphic if there is a (simple) graph G of order n having degree sequence . In this case, G is said to reali...
Guantao Chen, Michael Ferrara, Ronald J. Gould, Jo...