In a finite simple undirected graph, a vertex is simplicial if its neighborhood is a clique. We say that, for k 2, a graph G = (VG, EG) is the k-simplicial power of a graph H = (V...
Combinatorial auctions (CAs) are important mechanisms for allocating interrelated items. Unfortunately, winner determination is NP-complete unless there is special structure. We s...
Vincent Conitzer, Jonathan Derryberry, Tuomas Sand...
The problem of graph classification has attracted great interest in the last decade. Current research on graph classification assumes the existence of large amounts of labeled tra...
We study the problem of computing the visibility graph defined by a set P of n points inside a polygon Q: two points p, q ∈ P are joined by an edge if the segment pq ⊂ Q. Ef...
Boaz Ben-Moshe, Olaf Hall-Holt, Matthew J. Katz, J...
We present an improved average case analysis of the maximum cardinality matching problem. We show that in a bipartite or general random graph on n vertices, with high probability ...