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IEICET
2011
13 years 6 months ago
Generation of Symmetric and Asymmetric Biconnected Rooted Outerplanar Graphs
In a rooted graph, a vertex is designated as its root. An outerplanar graph is represented by a plane embedding such that all vertices appear along its outer boundary. Two differ...
Bingbing Zhuang, Hiroshi Nagamochi
CPC
2006
93views more  CPC 2006»
13 years 11 months ago
Generating Outerplanar Graphs Uniformly at Random
We show how to generate labeled and unlabeled outerplanar graphs with n vertices uniformly at random in polynomial time in n. To generate labeled outerplanar graphs, we present a c...
Manuel Bodirsky, Mihyun Kang
DAM
2010
132views more  DAM 2010»
13 years 11 months ago
Homomorphisms of 2-edge-colored graphs
In this paper, we study homomorphisms of 2-edge-colored graphs, that is graphs with edges colored with two colors. We consider various graph classes (outerplanar graphs, partial 2...
Amanda Montejano, Pascal Ochem, Alexandre Pinlou, ...
CORR
2010
Springer
73views Education» more  CORR 2010»
13 years 11 months ago
On Touching Triangle Graphs
Abstract. In this paper, we consider the problem of representing graphs by triangles whose sides touch. We present linear time algorithms for creating touching triangles representa...
Emden R. Gansner, Yifan Hu, Stephen G. Kobourov
SODA
2004
ACM
160views Algorithms» more  SODA 2004»
14 years 26 days ago
On colorings of squares of outerplanar graphs
We study vertex colorings of the square G2 of an outerplanar graph G. We find the optimal bound of the inductiveness, chromatic number and the clique number of G2 as a function of...
Geir Agnarsson, Magnús M. Halldórsso...
CCCG
2007
14 years 28 days ago
Straight-line Drawings of Outerplanar Graphs in O(dn log n) Area
We show an algorithm for constructing O(dn log n) area outerplanar straight-line drawings of n-vertex outerplanar graphs with degree d. Also, we settle in the negative a conjectur...
Fabrizio Frati