In 1972, M. Rosenfeld asked if every triangle-free graph could be embedded in the unit sphere Sd in such a way that two vertices joined by an edge have distance more than √ 3 (i...
We deal with the problem of maintaining a dynamic graph so that queries of the form “is there an edge between u and v?” are processed fast. We consider graphs of bounded arbor...
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 consider the robot exploration of a planar graphlike world. The robot's goal is to build a complete map of its environment. The environment is modeled as an arbitrary undi...
Ioannis M. Rekleitis, Vida Dujmovic, Gregory Dudek
Abstract. In this paper, we investigate which processor networks allow klabel Interval Routing Schemes, under the assumption that costs of edges may vary. We show that for each xed...
Hans L. Bodlaender, Richard B. Tan, Dimitrios M. T...