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» Automorphic Decompositions of Graphs
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DM
2008
97views more  DM 2008»
13 years 7 months ago
(r, r+1)-factorizations of (d, d+1)-graphs
A (d, d + 1)-graph is a graph whose vertices all have degrees in the set {d, d + 1}. Such a graph is semiregular. An (r, r + 1)-factorization of a graph G is a decomposition of G ...
Anthony J. W. Hilton
CC
2007
Springer
208views System Software» more  CC 2007»
14 years 1 months ago
A New Elimination-Based Data Flow Analysis Framework Using Annotated Decomposition Trees
Abstract. We introduce a new framework for elimination-based data flow analysis. We present a simple algorithm and a delayed algorithm that exhibit a worstcase complexity of O(n2 ...
Bernhard Scholz, Johann Blieberger
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
11 years 10 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh
JCO
2007
122views more  JCO 2007»
13 years 7 months ago
Packing 5-cycles into balanced complete m -partite graphs for odd m
Let Kn1,n2,...,nm be a complete m-partite graph with partite sets of sizes n1,n2,...,nm. A complete m-partite graph is balanced if each partite set has n vertices. We denote this c...
Ming-Hway Huang, Chin-Mei Fu, Hung-Lin Fu
WG
2010
Springer
13 years 6 months ago
On the Small Cycle Transversal of Planar Graphs
We consider the problem of finding a k-edge transversal set that covers all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant. This problem, refe...
Ge Xia, Yong Zhang