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JCT
2007
107views more  JCT 2007»
15 years 6 months ago
On a conjecture of Wilf
Abstract. Let n and k be natural numbers and let S(n, k) denote the Stirling numbers of the second kind. It is a conjecture of Wilf that the alternating sum nX j=0 (−1)j S(n, j) ...
Stefan De Wannemacker, Thomas Laffey, Robert Osbur...
SIAMCOMP
2000
118views more  SIAMCOMP 2000»
15 years 6 months ago
On Bipartite Drawings and the Linear Arrangement Problem
The bipartite crossing number problem is studied, and a connection between this problem and the linear arrangement problem is established. It is shown that when the arboricity is ...
Farhad Shahrokhi, Ondrej Sýkora, Lás...
COCOA
2007
Springer
16 years 25 days ago
On the Complexity of Some Colorful Problems Parameterized by Treewidth
Abstract. We study the complexity of several coloring problems on graphs, parameterized by the treewidth t of the graph: (1) The list chromatic number χl(G) of a graph G is defin...
Michael R. Fellows, Fedor V. Fomin, Daniel Lokshta...
PPOPP
2006
ACM
16 years 19 days ago
On-line automated performance diagnosis on thousands of processes
Performance analysis tools are critical for the effective use of large parallel computing resources, but existing tools have failed to address three problems that limit their scal...
Philip C. Roth, Barton P. Miller
EJC
2008
15 years 6 months ago
Fractional coloring and the odd Hadwiger's conjecture
Gerards and Seymour (see [T.R. Jensen, B. Toft, Graph Coloring Problems, Wiley-Interscience, 1995], page 115) conjectured that if a graph has no odd complete minor of order p, the...
Ken-ichi Kawarabayashi, Bruce A. Reed