Many real-world graphs have been shown to be scale-free— vertex degrees follow power law distributions, vertices tend to cluster, and the average length of all shortest paths is...
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
We present sublinear-time (randomized) algorithms for finding simple cycles of length at least k 3 and tree-minors in bounded-degree graphs. The complexity of these algorithms is...
Artur Czumaj, Oded Goldreich, Dana Ron, C. Seshadh...
We study routing algorithms for three-dimensional ad hoc networks that guarantee delivery and are k-local, i.e., each intermediate node v’s routing decision only depends on knowl...
Stephane Durocher, David G. Kirkpatrick, Lata Nara...
How to color 3 colorable graphs with few colors is a problem of longstanding interest. The best polynomial-time algorithm uses n0.2072 colors. There are no indications that colori...