In a previous paper we showed that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. Here we extend the method to show that a random 6-regular...
This work is motivated by the long-standing open problem of designing a polynomial-time algorithm that with high probability constructs an asymptotically maximum independent set in...
Mark K. Goldberg, D. Hollinger, Malik Magdon-Ismai...
We investigate to what extent flooding and routing is possible if the graph is allowed to change unpredictably at each time step. We study what minimal requirements are necessary...
We give two efficient on-line algorithms to simplify weighted graphs by eliminating degree-two vertices. Our algorithms are on-line -- they react to updates on the data, keeping t...
Floris Geerts, Peter Z. Revesz, Jan Van den Bussch...
We investigate various problems related to circulant graphs – finding the shortest path between two vertices, finding the shortest loop, and computing the diameter. These probl...
Jin-yi Cai, George Havas, Bernard Mans, Ajay Nerur...