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EJC
2010
15 years 6 months ago
The edge-flipping group of a graph
Let X = (V, E) be a finite simple connected graph with n vertices and m edges. A configuration is an assignment of one of two colors, black or white, to each edge of X. A move app...
Hau-wen Huang, Chih-wen Weng
ENTCS
2002
91views more  ENTCS 2002»
15 years 6 months ago
Interval Duration Logic: Expressiveness and Decidability
We investigate a variant of dense-time Duration Calculus which permits model checking using timed/hybrid automata. We define a variant of the Duration Calculus, called Interval Du...
Paritosh K. Pandya
GD
2007
Springer
16 years 20 days ago
A Bipartite Strengthening of the Crossing Lemma
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...
Jacob Fox, János Pach, Csaba D. Tóth
ICDT
2010
ACM
137views Database» more  ICDT 2010»
15 years 5 months ago
A Greedy Algorithm for Constructing a Low-Width Generalized Hypertree Decomposition
We propose a greedy algorithm which, given a hypergraph H and a positive integer k, produces a hypertree decomposition of width less than or equal to 3k −1, or determines that H...
Kaoru Katayama, Tatsuro Okawara, Yuka Itou
SODA
2003
ACM
158views Algorithms» more  SODA 2003»
15 years 7 months ago
Faster approximation algorithms for the minimum latency problem
We give a 7.18-approximation algorithm for the minimum latency problem that uses only O(n log n) calls to the prize-collecting Steiner tree (PCST) subroutine of Goemans and Willia...
Aaron Archer, David P. Williamson