Inspired by the recent interest in combining geometry with random graph models, we explore in this paper two generalizations of the random dot product graph model proposed by Kraet...
Nested Pushdown Trees are unfoldings of pushdown graphs with an additional jump-relation. These graphs are closely related to collapsible pushdown graphs. They enjoy decidable µ-c...
The (k − 1)-fault diameter Dk(G) of a k-connected graph G is the maximum diameter of an induced subgraph by deleting at most k − 1 vertices from G. This paper considers the fa...
Eppstein [5] characterized the minor-closed graph families for which the treewidth is bounded by a function of the diameter, which includes e.g. planar graphs. This characterizatio...
Multihop lightwave networks are becoming increasingly popular in optical networks. It is attractive to consider regular graphs as the logical topology for a multihop network, due t...