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» A note on the Hadwiger number of circular arc graphs
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IPL
2007
94views more  IPL 2007»
13 years 7 months ago
A note on the Hadwiger number of circular arc graphs
Abstract. The intention of this note is to motivate the researchers to study Hadwiger’s conjecture for circular arc graphs. Let η(G) denote the largest clique minor of a graph G...
N. S. Narayanaswamy, Naveen Belkale, L. Sunil Chan...
WG
2007
Springer
14 years 1 months ago
Pathwidth of Circular-Arc Graphs
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. Although pathwidth is a well-known and well-studied graph parameter, t...
Karol Suchan, Ioan Todinca
SIAMCOMP
1998
168views more  SIAMCOMP 1998»
13 years 7 months ago
Efficient Algorithms for the Domination Problems on Interval and Circular-Arc Graphs
This paper first presents a unified approach to design efficient algorithms for the weighted domination problem and its three variants, i.e., the weighted independent, connected,...
Maw-Shang Chang
GD
2003
Springer
14 years 23 days ago
Fixed-Location Circular-Arc Drawing of Planar Graphs
In this paper we consider the problem of drawing a planar graph using circular arcs as edges, given a one-to-one mapping between the vertices of the graph and a set of points in t...
Alon Efrat, Cesim Erten, Stephen G. Kobourov
EJC
2008
13 years 7 months ago
Fractional coloring and the odd Hadwiger's conjecture
Gerards and Seymour (see [T.R. Jensen, B. Toft, Graph Coloring Problems, Wiley-Interscience, 1995], page 115) conjectured that if a graph has no odd complete minor of order p, the...
Ken-ichi Kawarabayashi, Bruce A. Reed