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» (k, )-Distance-Hereditary Graphs
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SODA
2000
ACM
121views Algorithms» more  SODA 2000»
15 years 4 months ago
Coloring powers of planar graphs
We give nontrivial bounds for the inductiveness or degeneracy of power graphs Gk of a planar graph G. This implies bounds for the chromatic number as well, since the inductiveness ...
Geir Agnarsson, Magnús M. Halldórsso...
DM
2010
128views more  DM 2010»
15 years 3 months ago
Some remarks on the geodetic number of a graph
A set of vertices D of a graph G is geodetic if every vertex of G lies on a shortest path between two not necessarily distinct vertices in D. The geodetic number of G is the minimu...
Mitre Costa Dourado, Fábio Protti, Dieter R...
133
Voted
DM
2008
177views more  DM 2008»
15 years 3 months ago
The independence number in graphs of maximum degree three
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...
140
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COMBINATORICS
2006
124views more  COMBINATORICS 2006»
15 years 3 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
JGT
2008
55views more  JGT 2008»
15 years 3 months ago
Ore-type degree conditions for a graph to be H-linked
Given a fixed multigraph H with V (H) = {h1, . . . , hm}, we say that a graph G is H-linked if for every choice of m vertices v1, . . . , vm in G, there exists a subdivision of H i...
Alexandr V. Kostochka, Gexin Yu