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LMCS
2006
119views more  LMCS 2006»
15 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»
15 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
16 years 25 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...
174
Voted
IJAC
2010
96views more  IJAC 2010»
15 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
228
Voted
WADS
2001
Springer
126views Algorithms» more  WADS 2001»
15 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