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212
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ICDCN
2011
Springer
14 years 5 months ago
Deterministic Dominating Set Construction in Networks with Bounded Degree
This paper considers the problem of calculating dominating sets in networks with bounded degree. In these networks, the maximal degree of any node is bounded by Δ, which is usuall...
Roy Friedman, Alex Kogan
126
Voted
RSA
2006
78views more  RSA 2006»
15 years 1 months ago
Nodes of large degree in random trees and forests
We study the asymptotic behaviour of the number Nk,n of nodes of given degree k in unlabeled random trees, when the tree size n and the node degree k both tend to infinity. It is s...
Bernhard Gittenberger
113
Voted
JGT
2010
127views more  JGT 2010»
15 years 10 days ago
On the minimum degree of minimal Ramsey graphs
We investigate the minimization problem of the minimum degree of minimal Ramsey graphs, initiated by Burr, Erd˝os, and Lov´asz. We determine the corresponding graph parameter fo...
Tibor Szabó, Philipp Zumstein, Stefanie Z&u...
FFA
2006
120views more  FFA 2006»
15 years 1 months ago
Enumerating permutation polynomials over finite fields by degree II
This note is a continuation of a paper by the same authors that appeared in 2002 in the same journal. First we extend the method of the previous paper proving an asymptotic formul...
Sergei Konyagin, Francesco Pappalardi
DM
2011
249views Education» more  DM 2011»
14 years 9 months ago
Acyclic vertex coloring of graphs of maximum degree 5
An acyclic vertex coloring of a graph is a proper vertex coloring such that there are no bichromatic cycles.  The acyclic chromatic number of G, denoted ...
Kishore Yadav, Satish Varagani, Kishore Kothapalli...