Let G be a connected graph of order n and girth g. If dG(u) + dG(v) ≥ n − 2g + 5 for any two non-adjacent vertices u and v, then G is up-embeddable. Further more, the lower bou...
Let G be the set of finite graphs whose vertices belong to some fixed countable set, and let ≡ be an equivalence relation on G. By the strengthening of ≡ we mean an equivalen...
In this paper we present GRASPER, a graph constraint solver, based on set constraints. We specify GRASPER’s constraints and we make use of our framework to model a problem in the...
Linguists often represent the relationships between words in a collection of text as an undirected graph G = (V, E), were V is the vocabulary and vertices are adjacent in G if and...
Pranav Anand, Henry Escuadro, Ralucca Gera, Craig ...
For undirected graphs it has been known for some time that one can bound the diameter using the eigenvalues. In this note we give a similar result for the diameter of strongly con...