We show that if a graph G has the property that all subsets of vertices of size n/4 contain the "correct" number of triangles one would expect to find in a random graph ...
Circuits and loops in graph systems can be used to model the attractors in gene-regulatory networks. The number of such attractors grows very rapidly with network size and even fo...
The essence of an Internet router is an n ¡ n switch which routes packets from input to output ports. Such a switch can be viewed as a bipartite graph with the input and output p...
Gagan Aggarwal, Rajeev Motwani, Devavrat Shah, An ...
We determine the exact and asymptotic number of unlabeled outerplanar graphs. The exact number gn of unlabeled outerplanar graphs on n vertices can be computed in polynomial time,...
We study Maker-Breaker games played on the edge set of a random graph. Specifically, we consider the random graph process and analyze the first time in a typical random graph proc...
Sonny Ben-Shimon, Asaf Ferber, Dan Hefetz, Michael...