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LMCS
2006
119views more  LMCS 2006»
13 years 7 months ago
The monadic second-order logic of graphs XVI : Canonical graph decompositions
This article establishes that the split decomposition of graphs introduced by Cunnigham, is definable in Monadic Second-Order Logic.This result is actually an instance of a more ge...
Bruno Courcelle
DAM
2008
92views more  DAM 2008»
13 years 7 months ago
Convex drawings of graphs with non-convex boundary constraints
: In this paper, we study a new problem of convex drawing of planar graphs with non-convex boundary constraints. It is proved that every triconnected plane graph whose boundary is ...
Seok-Hee Hong, Hiroshi Nagamochi
MFCS
2004
Springer
14 years 28 days ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...
IJAC
2010
96views more  IJAC 2010»
13 years 4 months ago
Coxeter Covers of the Classical Coxeter Groups
Let C(T) be a generalized Coxeter group, which has a natural map onto one of the classical Coxeter groups, either Bn or Dn. Let CY (T) be a natural quotient of C(T), and if C(T) is...
Meirav Amram, Robert Shwartz, Mina Teicher
WADS
2001
Springer
126views Algorithms» more  WADS 2001»
13 years 12 months ago
On External-Memory Planar Depth First Search
Even though a large number of I/O-efficient graph algorithms have been developed, a number of fundamental problems still remain open. For example, no space- and I/O-efficient algo...
Lars Arge, Ulrich Meyer, Laura Toma, Norbert Zeh