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» Conditional colorings of graphs
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JCT
2008
76views more  JCT 2008»
15 years 6 months ago
Quadruple systems with independent neighborhoods
A 4-graph is odd if its vertex set can be partitioned into two sets so that every edge intersects both parts in an odd number of points. Let b(n) = max n 3 + (n - ) 3 = 1 2 + o...
Zoltán Füredi, Dhruv Mubayi, Oleg Pikh...
DAM
2010
137views more  DAM 2010»
15 years 6 months ago
H-join decomposable graphs and algorithms with runtime single exponential in rankwidth
We introduce H -join decompositions of graphs, indexed by a fixed bipartite graph H . These decompositions are based on a graph operation that we call H -join, which adds edges be...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
ICALP
2009
Springer
16 years 7 months ago
Fast FAST
We present a randomized subexponential time, polynomial space parameterized algorithm for the k-Weighted Feedback Arc Set in Tournaments (k-FAST) problem. We also show that our alg...
Noga Alon, Daniel Lokshtanov, Saket Saurabh
DM
2000
150views more  DM 2000»
15 years 6 months ago
A note on generalized chromatic number and generalized girth
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
Béla Bollobás, Douglas B. West
JCT
2007
142views more  JCT 2007»
15 years 6 months ago
Graphs that triangulate a given surface and quadrangulate another surface
We show that for any closed surface F with χ(F) −4 (or χ(F) −2), there exist graphs that triangulate the torus or the Klein bottle (or the projective plane) and that quadran...
Yusuke Suzuki