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» The upper bound on k-tuple domination numbers of graphs
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CORR
2010
Springer
107views Education» more  CORR 2010»
13 years 4 months ago
Metric uniformization and spectral bounds for graphs
We present a method for proving upper bounds on the eigenvalues of the graph Laplacian. A main step involves choosing an appropriate "Riemannian" metric to uniformize th...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...
GC
2008
Springer
13 years 7 months ago
On the Acyclic Chromatic Number of Hamming Graphs
An acyclic coloring of a graph G is a proper coloring of the vertex set of G such that G contains no bichromatic cycles. The acyclic chromatic number of a graph G is the minimum nu...
Robert E. Jamison, Gretchen L. Matthews
IAJIT
2011
12 years 10 months ago
On the genus of pancake network
: Both the pancake graph and star graph are Cayley graphs and are especially attractive for parallel processing. They both have sublogarithmic diameter, and are fairly sparse compa...
Quan T. Nguyen, Saïd Bettayeb
FOCS
2006
IEEE
14 years 1 months ago
On a Geometric Generalization of the Upper Bound Theorem
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
Uli Wagner
CN
2011
88views more  CN 2011»
13 years 2 months ago
Multi-hour network planning based on domination between sets of traffic matrices
—In multi-hour network design, periodic traffic variations along time are considered in the dimensioning process. Then, the non coincidence of traffic peaks along the day or the ...
Pablo Pavón-Mariño, Belen Garcia-Man...