Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
Abstract: A k-tree is a chordal graph with no (k + 2)-clique. An -treepartition of a graph G is a vertex partition of G into `bags,' such that contracting each bag to a single...
We find the maximum number of maximal independent sets in two families of graphs. The first family consists of all graphs with n vertices and at most r cycles. The second family i...
Goh Chee Ying, Koh Khee Meng, Bruce E. Sagan, Vinc...
Intriguing and tight sets of vertices of point-line geometries have recently been studied in the literature. In this paper, we indicate a more general framework for dealing with t...
Henning and Yeo proved a lower bound for the minimum size of a maximum matching in a connected k-regular graphs with n vertices; it is sharp infinitely often. In an earlier paper...