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JGT
2007
73views more  JGT 2007»
13 years 7 months ago
New bounds on the edge number of a k-map graph
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
Zhi-Zhong Chen
TCBB
2011
13 years 2 months ago
Accurate Construction of Consensus Genetic Maps via Integer Linear Programming
—We study the problem of merging genetic maps, when the individual genetic maps are given as directed acyclic graphs. The computational problem is to build a consensus map, which...
Yonghui Wu, Timothy J. Close, Stefano Lonardi
ISAAC
2004
Springer
153views Algorithms» more  ISAAC 2004»
14 years 1 months ago
Canonical Data Structure for Interval Probe Graphs
The class of interval probe graphs is introduced to deal with the physical mapping and sequencing of DNA as a generalization of interval graphs. The polynomial time recognition al...
Ryuhei Uehara
ICCAD
1995
IEEE
113views Hardware» more  ICCAD 1995»
13 years 11 months ago
Logic decomposition during technology mapping
—A problem in technology mapping is that the quality of the final implementation depends significantly on the initially provided circuit structure. This problem is critical, es...
Eric Lehman, Yosinori Watanabe, Joel Grodstein, He...
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
11 years 10 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh