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» Parameterizing by the Number of Numbers
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DM
2006
86views more  DM 2006»
13 years 10 months ago
Minimal rankings and the arank number of a path
Given a graph G, a function f : V (G) {1, 2, . . . , k} is a k-ranking of G if f (u) = f (v) implies every u - v path contains a vertex w such that f (w) > f (u). A k-ranking ...
Victor Kostyuk, Darren A. Narayan, Victoria A. Wil...
IJDMB
2006
90views more  IJDMB 2006»
13 years 10 months ago
An efficient motif discovery algorithm with unknown motif length and number of binding sites
: Most motif discovery algorithms from DNA sequences require the motif's length as input. Styczynski et al. introduced the Extended (l,d)-Motif Problem (EMP) where the motif&#...
Henry C. M. Leung, Francis Y. L. Chin
NETWORKS
2008
13 years 10 months ago
The number of spanning trees in a class of double fixed-step loop networks
In this paper, we develop a method to count the number of spanning trees in certain classes of double fixed-step loop networks with nonconstant steps. More specifically our techni...
Xuerong Yong, Yuanping Zhang, Mordecai J. Golin
IPL
2007
79views more  IPL 2007»
13 years 10 months ago
Uniform metrical task systems with a limited number of states
We give a randomized algorithm (the ”Wedge Algorithm”) of competitiveness 3 2 Hk − 1 2k for any metrical task system on a uniform space of k points, for any k ≥ 2, where H...
Wolfgang W. Bein, Lawrence L. Larmore, John Noga
JCT
2007
90views more  JCT 2007»
13 years 10 months ago
On the maximum number of edges in quasi-planar graphs
A topological graph is quasi-planar, if it does not contain three pairwise crossing edges. Agarwal et al. [2] proved that these graphs have a linear number of edges. We give a sim...
Eyal Ackerman, Gábor Tardos