Abstract. We present a mathematical model to analyse the establishment and maintenance of communication between mobile agents. We assume that the agents move through a fixed envir...
The Hamiltonian Cycle (HC) problem is an important graph problem with many applications. The general backtracking algorithm normally used for random graphs often takes far too lon...
In the 1960's, Tutte presented a decomposition of a 2-connected finite graph into 3-connected graphs, cycles and bonds. This decomposition has been used to reduce problems on...
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
A graph G is strict quasi parity (SQP) if every induced subgraph of G that is not a clique contains a pair of vertices with no odd chordless path between them (an even pair). Houga...