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» Parameterizing by the Number of Numbers
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DM
2006
86views more  DM 2006»
15 years 4 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»
15 years 4 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
15 years 4 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»
15 years 4 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»
15 years 4 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