For two given graphs F and H, the Ramsey number R(F, H) is the smallest positive integer p such that for every graph G on p vertices the following holds: either G contains F as a ...
d Abstract) Maria Luisa Bonet∗ Samuel R. Buss∗ Department of Mathematics Department of Mathematics U.C. Berkeley U.C. San Diego Berkeley, California 94720 La Jolla, California ...
We investigate the exploration problem of a short-sighted mobile robot moving about in an unknown cellular room. In order to explore a cell, the robot must enter it. Once inside, ...
Christian Icking, Thomas Kamphans, Rolf Klein, Elm...
Abstract— Sensors typically use wireless transmitters to communicate with each other. However, sensors may be located in a way that they cannot even form a connected network (e.g...
Hadwiger’s conjecture states that every graph with chromatic number χ has a clique minor of size χ. In this paper we prove a weakened version of this conjecture for the class ...