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CCCG
2008
13 years 10 months ago
Computing the Stretch Factor of Paths, Trees, and Cycles in Weighted Fixed Orientation Metrics
Let G be a graph embedded in the L1-plane. The stretch factor of G is the maximum over all pairs of distinct vertices p and q of G of the ratio LG 1 (p, q)/L1(p, q), where LG 1 (p...
Christian Wulff-Nilsen
JCT
2008
103views more  JCT 2008»
13 years 8 months ago
A bijective proof of Jackson's formula for the number of factorizations of a cycle
Factorizations of the cyclic permutation (1 2 . . . N) into two permutations with respectively n and m cycles, or, equivalently, unicellular bicolored maps with N edges and n whit...
Gilles Schaeffer, Ekaterina A. Vassilieva
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 8 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing
SARA
2009
Springer
14 years 3 months ago
Efficient SAT Techniques for Absolute Encoding of Permutation Problems: Application to Hamiltonian Cycles
We study novel approaches for solving of hard combinatorial problems by translation to Boolean Satisfiability (SAT). Our focus is on combinatorial problems that can be represented...
Miroslav N. Velev, Ping Gao 0002
SIGMOD
2005
ACM
136views Database» more  SIGMOD 2005»
14 years 2 months ago
Optimizing recursive queries in SQL
Recursion represents an important addition to the SQL language. This work focuses on the optimization of linear requeries in SQL. To provide an abstract framework for discussion, ...
Carlos Ordonez