The profile of a graph is an integer-valued parameter defined via vertex orderings; it is known that the profile of a graph equals the smallest number of edges of an interval supe...
The notions of hypertree width and generalized hypertree width were introduced by Gottlob, Leone, and Scarcello in order to extend the concept of hypergraph acyclicity. These noti...
Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thi...
Maximal clique enumeration (MCE) is a fundamental problem in graph theory and has important applications in many areas such as social network analysis and bioinformatics. The prob...
James Cheng, Yiping Ke, Ada Wai-Chee Fu, Jeffrey X...
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs s1t1, s2t2, . . ., sktk, the goal is to maximize the number of pairs t...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
This paper studies the group testing problem in graphs as follows. Given a graph G = (V, E), determine the minimum number t(G) such that t(G) tests are sufficient to identify an u...