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» Coloring Vertices and Faces of Locally Planar Graphs
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DAM
2010
103views more  DAM 2010»
13 years 8 months ago
Dynamic list coloring of bipartite graphs
A dynamic coloring of a graph is a proper coloring of its vertices such that every vertex of degree more than one has at least two neighbors with distinct colors. The least number...
Louis Esperet
SODA
1990
ACM
114views Algorithms» more  SODA 1990»
13 years 9 months ago
Finding Steiner Forests in Planar Graphs
Given an unweighted planar graph G together with nets of terminals, our problem is to find a Steiner forest, i.e., vertex-disjoint trees, each of which interconnects all the termin...
Hitoshi Suzuki, Takehiro Akama, Takao Nishizeki
INFORMATICALT
2006
104views more  INFORMATICALT 2006»
13 years 8 months ago
Algorithms for Inner Magic and Inner Antimagic Labelings of Some Planar Graphs
In this work labeling of planar graphs is taken up which involves labeling the p vertices, the q edges and the f internal faces such that the weights of the faces form an arithmeti...
Auparajita Krishnaa, Manohar Singh Dulawat
JGT
2008
77views more  JGT 2008»
13 years 8 months ago
List-coloring the square of a subcubic graph
The square G2 of a graph G is the graph with the same vertex set as G and with two vertices adjacent if their distance in G is at most 2. Thomassen showed that for a planar graph ...
Daniel W. Cranston, Seog-Jin Kim
SIAMDM
2010
194views more  SIAMDM 2010»
13 years 3 months ago
Combinatorics and Geometry of Finite and Infinite Squaregraphs
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
Hans-Jürgen Bandelt, Victor Chepoi, David Epp...