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» On the Number of Birch Partitions
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SIAMDM
2008
154views more  SIAMDM 2008»
13 years 8 months ago
On the First-Fit Chromatic Number of Graphs
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
József Balogh, Stephen G. Hartke, Qi Liu, G...
MST
2006
99views more  MST 2006»
13 years 8 months ago
Complexity of the Exact Domatic Number Problem and of the Exact Conveyor Flow Shop Problem
We prove that the exact versions of the domatic number problem are complete for the levels of the boolean hierarchy over NP. The domatic number problem, which arises in the area of...
Tobias Riege, Jörg Rothe
CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 3 months ago
Partitions and Coverings of Trees by Bounded-Degree Subtrees
This paper addresses the following questions for a given tree T and integer d 2: (1) What is the minimum number of degree-d subtrees that partition E(T)? (2) What is the minimum n...
David R. Wood
DM
2000
150views more  DM 2000»
13 years 8 months ago
A note on generalized chromatic number and generalized girth
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
Béla Bollobás, Douglas B. West
FC
2007
Springer
147views Cryptology» more  FC 2007»
14 years 15 days ago
Certificate Revocation Using Fine Grained Certificate Space Partitioning
A new certificate revocation system is presented. The basic idea is to divide the certificate space into several partitions, the number of partitions being dependent on the PKI en...
Vipul Goyal