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COMBINATORICA
2004
119views more  COMBINATORICA 2004»
14 years 9 months ago
On Infinite Cycles II
We extend the basic theory concerning the cycle space of a finite graph to arbitrary infinite graphs, using as infinite cycles the homeomorphic images of the unit circle in the gr...
Reinhard Diestel, Daniela Kühn
DM
2008
88views more  DM 2008»
14 years 9 months ago
Packing triangles in low degree graphs and indifference graphs
We consider the problems of finding the maximum number of vertex-disjoint triangles (VTP) and edge-disjoint triangles (ETP) in a simple graph. Both problems are NP-hard. The algor...
Gordana Manic, Yoshiko Wakabayashi
WEA
2007
Springer
107views Algorithms» more  WEA 2007»
15 years 3 months ago
Trunk Packing Revisited
For trunk packing problems only few approximation schemes are known, mostly designed for the European standard DIN 70020 [6] with equally sized boxes [8, 9, 11, 12]. In this paper ...
Ernst Althaus, Tobias Baumann, Elmar Schömer,...
DAM
2011
14 years 4 months ago
Powers of cycles, powers of paths, and distance graphs
In 1988, Golumbic and Hammer characterized powers of cycles, relating them to circular-arc graphs. We extend their results and propose several further structural characterizations ...
Min Chih Lin, Dieter Rautenbach, Francisco J. Soul...
COMBINATORICS
2006
128views more  COMBINATORICS 2006»
14 years 9 months ago
On Lengths of Rainbow Cycles
We prove several results regarding edge-colored complete graphs and rainbow cycles, cycles with no color appearing on more than one edge. We settle a question posed by Ball, Pultr...
Boris Alexeev