A graph G is chordal if it contains no chordless cycle of length at least four and is k-chordal if a longest chordless cycle in G has length at most k. In this note it is proved t...
Douglas Bauer, Gyula Y. Katona, Dieter Kratsch, He...
It is well-known that the maximal size of minimally 3-connected graphs of order 7n is 93 -n . In this paper, we shall prove that if G is a minimally 3-connected graph of order n, ...
We prove that every graph with maximum degree ∆ can be properly (∆ + 1)coloured so that no colour appears more than O(log ∆/ log log ∆) times in the neighbourhood of any v...
In order to prevent misunderstandings within groups of interacting agents, it is necessary to ensure that the agents' beliefs regarding the overall state of the interaction a...
Hywel R. Dunn-Davies, Jim Cunningham, Shamimabi Pa...
We present a new representation for possibly infinite sets of possibly infinite trees. This representation makes extensive use of sharing to achieve efficiency. As much as possible...