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» (k, )-Distance-Hereditary Graphs
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IWOCA
2009
Springer
160views Algorithms» more  IWOCA 2009»
14 years 1 months ago
Note on Decomposition of Kn, n into (0, j)-prisms
R. H¨aggkvist proved that every 3-regular bipartite graph of order 2n with no component isomorphic to the Heawood graph decomposes the complete bipartite graph K6n,6n. In [2] the ...
Sylwia Cichacz, Dalibor Froncek, Petr Kovár
SODA
2012
ACM
170views Algorithms» more  SODA 2012»
11 years 11 months ago
Compression via matroids: a randomized polynomial kernel for odd cycle transversal
The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...
Stefan Kratsch, Magnus Wahlström
JCT
1998
122views more  JCT 1998»
13 years 8 months ago
Counting 1-Factors in Regular Bipartite Graphs
We show that any k-regular bipartite graph with 2n vertices has at least ((k−1)k−1 kk−2 )n perfect matchings (1-factors). Equivalently, this is a lower bound on the permanent...
Alexander Schrijver
DAM
2008
123views more  DAM 2008»
13 years 8 months ago
Polar cographs
Polar graphs are a natural extension of some classes of graphs like bipartite graphs, split graphs and complements of bipartite graphs. A graph is (s, k)-polar if there exists a pa...
Tinaz Ekim, Nadimpalli V. R. Mahadev, Dominique de...
APAL
1998
71views more  APAL 1998»
13 years 8 months ago
On the Finiteness of the Recursive Chromatic Number
A recursive graph is a graph whose vertex and edges sets are recursive. A highly recursive graph is a recursive graph that also has the following property: one can recursively det...
William I. Gasarch, Andrew C. Y. Lee