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» On Graph Complexity
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DM
2011
264views Education» more  DM 2011»
13 years 2 months ago
Connectivity threshold and recovery time in rank-based models for complex networks
The World Wide Web may be viewed as a graph each of whose vertices corresponds to a static HTML web page, and each of whose edges corresponds to a hyperlink from one web page to an...
Pawel Pralat
SIAMDM
2008
190views more  SIAMDM 2008»
13 years 7 months ago
On the Complexity of Ordered Colorings
We introduce two variants of proper colorings with imposed partial ordering on the set of colors. One variant shows very close connections to some fundamental problems in graph the...
Arvind Gupta, Jan van den Heuvel, Ján Manuc...
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
14 years 25 days ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
TCS
2010
13 years 5 months ago
Computing the graph-based parallel complexity of gene assembly
We consider a graph-theoretical formalization of the process of gene assembly in ciliates introduced in Ehrenfeucht et al (2003), where a gene is modeled as a signed graph. The ge...
Artiom Alhazov, Chang Li, Ion Petre
JCO
2007
56views more  JCO 2007»
13 years 7 months ago
An unexpected meeting of four seemingly unrelated problems: graph testing, DNA complex screening, superimposed codes and secure
This paper discusses the relation among four problems: graph testing, DNA complex screening, superimposed codes and secure key distribution. We prove a surprising equivalence relat...
H. B. Chen, Ding-Zhu Du, Frank K. Hwang