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» Sums of powers of the degrees of a graph
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MOC
1998
98views more  MOC 1998»
14 years 11 months ago
Distribution of irreducible polynomials of small degrees over finite fields
D. Wan very recently proved an asymptotic version of a conjecture of Hansen and Mullen concerning the distribution of irreducible polynomials over finite fields. In this note we ...
Kie H. Ham, Gary L. Mullen
COMBINATORICS
2000
138views more  COMBINATORICS 2000»
14 years 11 months ago
Quasi-Spectral Characterization of Strongly Distance-Regular Graphs
A graph with diameter d is strongly distance-regular if is distanceregular and its distance-d graph d is strongly regular. The known examples are all the connected strongly regu...
Miguel Angel Fiol
JCT
2008
68views more  JCT 2008»
14 years 11 months ago
An Ore-type theorem on equitable coloring
A proper vertex coloring of a graph is equitable if the sizes of its color classes differ by at most one. In this note, we prove that if G is a graph such that for each edge xy E...
Hal A. Kierstead, Alexandr V. Kostochka
COCOON
2007
Springer
15 years 5 months ago
On the Hardness of Optimization in Power Law Graphs
Our motivation for this work is the remarkable discovery that many large-scale real-world graphs ranging from Internet and World Wide Web to social and biological networks exhibit ...
Alessandro Ferrante, Gopal Pandurangan, Kihong Par...
SODA
2000
ACM
121views Algorithms» more  SODA 2000»
15 years 1 months ago
Coloring powers of planar graphs
We give nontrivial bounds for the inductiveness or degeneracy of power graphs Gk of a planar graph G. This implies bounds for the chromatic number as well, since the inductiveness ...
Geir Agnarsson, Magnús M. Halldórsso...