G-2007-33
Variable Neighborhood Search for Extremal Graphs. 24. Conjectures and Results About the Clique Number
Jelena Sedlar, Damir Vukicevic, Mustapha Aouchiche et Pierre Hansen
A set of vertices S in a graph G is a clique if any two of its vertices are adjacent.
The clique number is the maximum cardinality of a clique in G. A series of best
possible lower and upper bounds on the difference, sum, ratio or product of
and
some other common invariants of G were obtained by the system AGX 2, and most
of them proved either automatically or by hand. In the present paper, we report on
such lower and upper bounds considering, as second invariant, minimum, average and
maximum degree, algebraic, node and edge connectivity, index, average distance, remoteness, radius and diameter.
Paru en mai 2007 , 30 pages