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» A New Upper Bound on the Total Domination Number of a Graph
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DM
2002
116views more  DM 2002»
13 years 7 months ago
Star forests, dominating sets and Ramsey-type problems
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 ...
SIAMDM
2008
140views more  SIAMDM 2008»
13 years 7 months ago
Bounds for the Real Number Graph Labellings and Application to Labellings of the Triangular Lattice
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...
Daniel Král, Petr Skoda
VTS
2006
IEEE
93views Hardware» more  VTS 2006»
14 years 1 months ago
Upper Bounding Fault Coverage by Structural Analysis and Signal Monitoring
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
GC
2008
Springer
13 years 7 months ago
Domination in Graphs of Minimum Degree at least Two and Large Girth
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 ...
Christian Löwenstein, Dieter Rautenbach
DAM
2011
13 years 2 months ago
A study of 3-arc graphs
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 ...
Martin Knor, Guangjun Xu, Sanming Zhou