A star forest of a graph G is a spanning subgraph of G in which each component is a star. The minimum number of edges required to guarantee that an arbitrary graph, or a bipartite...
Sheila Ferneyhough, Ruth Haas, Denis Hanson, Gary ...
We establish new lower and upper bounds for the real number graph labelling problem. As an application, we completely determine the optimum spans of L(p, q)-labellings of the infin...
A new algorithm for identifying stuck faults in combinational circuits that cannot be detected by a given input sequence is presented. Other than pre and post-processing steps, ce...
Vishwani D. Agrawal, Soumitra Bose, Vijay Gangaram
We prove that for graphs of order n, minimum degree 2 and girth g 5 the domination number satisfies 1 3 + 2 3g n. As a corollary this implies that for cubic graphs of order n ...
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a graph ...