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» Mapping planar graphs into the Coxeter graph
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IJAC
2010
96views more  IJAC 2010»
13 years 6 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
GC
2010
Springer
13 years 8 months ago
Enumerative Properties of Rooted Circuit Maps
In 1966 Barnette introduced a set of graphs, called circuit graphs, which are obtained from 3-connected planar graphs by deleting a vertex. Circuit graphs and 3-connected planar g...
Zhicheng Gao, Han Ren
WG
2004
Springer
14 years 2 months ago
Planar Graphs, via Well-Orderly Maps and Trees
The family of well-orderly maps is a family of planar maps with the property that every connected planar graph has at least one plane embedding which is a well-orderly map. We show...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
GD
1999
Springer
14 years 1 months ago
Planarity-Preserving Clustering and Embedding for Large Planar Graphs
In this paper we present a novel approach for cluster-based drawing of large planar graphs that maintains planarity. Our technique works for arbitrary planar graphs and produces a ...
Christian A. Duncan, Michael T. Goodrich, Stephen ...
ICALP
2003
Springer
14 years 2 months ago
Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs
The (k, r)-center problem asks whether an input graph G has ≤ k vertices (called centers) such that every vertex of G is within distance ≤ r from some center. In this paper we ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...