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CORR
2010
Springer
168views Education» more  CORR 2010»
13 years 6 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...
WG
2004
Springer
14 years 2 months ago
Unhooking Circulant Graphs: A Combinatorial Method for Counting Spanning Trees and Other Parameters
It has long been known that the number of spanning trees in circulant graphs with fixed jumps and n nodes satisfies a recurrence relation in n. The proof of this fact was algebra...
Mordecai J. Golin, Yiu-Cho Leung
ORL
1998
136views more  ORL 1998»
13 years 8 months ago
A primal-dual interpretation of two 2-approximation algorithms for the feedback vertex set problem in undirected graphs
Recently, Becker and Geiger and Bafna, Berman and Fujito gave 2-approximation algorithms for the feedback vertex set problem in undirected graphs. We show how their algorithms can...
Fabián A. Chudak, Michel X. Goemans, Dorit ...
JGT
2006
98views more  JGT 2006»
13 years 8 months ago
Group chromatic number of planar graphs of girth at least 4
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Hong-Jian Lai, Xiangwen Li
WG
2007
Springer
14 years 2 months ago
Minimum-Weight Cycle Covers and Their Approximability
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set ...
Bodo Manthey