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» Packing Cycles in Graphs
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DM
2010
131views more  DM 2010»
14 years 9 months ago
Planar graphs without adjacent cycles of length at most seven are 3-colorable
We prove that every planar graph in which no i-cycle is adjacent to a j-cycle whenever 3 i j 7 is 3-colorable and pose some related problems on the 3-colorability of planar grap...
Oleg V. Borodin, Mickaël Montassier, Andr&eac...
EJC
2006
14 years 9 months ago
Hamilton cycles in random lifts of graphs
An n-lift of a graph K, is a graph with vertex set V (K)
K. Burgin, Prasad Chebolu, Colin Cooper, Alan M. F...
ICFP
2012
ACM
12 years 12 months ago
Functional programming with structured graphs
This paper presents a new functional programming model for graph structures called structured graphs. Structured graphs extend conventional algebraic datatypes with explicit defi...
Bruno C. d. S. Oliveira, William R. Cook
ESA
2004
Springer
103views Algorithms» more  ESA 2004»
15 years 2 months ago
Faster Fixed-Parameter Tractable Algorithms for Matching and Packing Problems
Abstract. We obtain faster algorithms for problems such as rdimensional matching, r-set packing, graph packing, and graph edge packing when the size k of the solution is considered...
Michael R. Fellows, Christian Knauer, Naomi Nishim...
JGT
2006
73views more  JGT 2006»
14 years 9 months ago
Nearly light cycles in embedded graphs and crossing-critical graphs
We find a lower bound for the proportion of face boundaries of an embedded graph that are nearly
Mario Lomelí, Gelasio Salazar