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» On the Number of Cycles in Planar Graphs
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ISAAC
1998
Springer
94views Algorithms» more  ISAAC 1998»
14 years 6 hour ago
Two-Layer Planarization in Graph Drawing
Abstract. We study the two-layer planarization problems that have applications in Automatic Graph Drawing. We are searching for a two-layer planar subgraph of maximumweight in a gi...
Petra Mutzel, René Weiskircher
CORR
2007
Springer
116views Education» more  CORR 2007»
13 years 7 months ago
Frugal Colouring of Graphs
A k-frugal colouring of a graph G is a proper colouring of the vertices of G such that no colour appears more than k times in the neighbourhood of a vertex. This type of colouring...
Omid Amini, Louis Esperet, Jan van den Heuvel
GD
2004
Springer
14 years 1 months ago
Computing Radial Drawings on the Minimum Number of Circles
A radial drawing is a representation of a graph in which the vertices lie on concentric circles of finite radius. In this paper we study the problem of computing radial drawings ...
Emilio Di Giacomo, Walter Didimo, Giuseppe Liotta,...
ENDM
2007
75views more  ENDM 2007»
13 years 7 months ago
Graph classes with given 3-connected components: asymptotic counting and critical phenomena
Fix a family T of 3-connected graphs, and let G be the class of graphs whose 3connected components are the graphs in T . We present a general framework for analyzing such graph cl...
Omer Giménez, Marc Noy, Juan José Ru...
JGT
2010
103views more  JGT 2010»
13 years 6 months ago
Characterizing 3-connected planar graphs and graphic matroids
: A well-known result of Tutte states that a 3-connected graph G is planar if and only if every edge of G is contained in exactly two induced non-separating circuits. Bixby and Cun...
Manoel Lemos, Talmage James Reid, Haidong Wu