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» 2-Factors in Hamiltonian Graphs
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DM
2008
97views more  DM 2008»
13 years 7 months ago
On uniquely k-determined permutations
Motivated by a new point of view to study occurrences of consecutive patterns in permutations, we introduce the notion of uniquely k-determined permutations. We give two criteria f...
Sergey V. Avgustinovich, Sergey Kitaev
ICALP
2009
Springer
14 years 7 months ago
Counting Subgraphs via Homomorphisms
We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algori...
Omid Amini, Fedor V. Fomin, Saket Saurabh
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
14 years 4 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...
HPCC
2007
Springer
14 years 1 months ago
On Pancyclicity Properties of OTIS Networks
The OTIS-Network (also referred to as two-level swapped network) is composed of n clones of an n-node original network constituting its clusters. It has received much attention due...
Mohammad R. Hoseinyfarahabady, Hamid Sarbazi-Azad
IPL
2002
118views more  IPL 2002»
13 years 7 months ago
Differential approximation results for the traveling salesman and related problems
This paper deals with the problem of constructing a Hamiltonian cycle of optimal weight, called TSP. We show that TSP is 2/3-differential approximable and can not be differential a...
Jérôme Monnot