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JCT
2008
103views more  JCT 2008»
13 years 9 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
ITA
2007
104views Communications» more  ITA 2007»
13 years 9 months ago
Automata, Borel functions and real numbers in Pisot base
This note is about functions f : Aω → Bω whose graph is recognized by a B¨uchi finite automaton on the product alphabet A × B. These functions are Baire class 2 in the Bair...
Benoit Cagnard, Pierre Simonnet
IAJIT
2011
13 years 20 days ago
On the genus of pancake network
: Both the pancake graph and star graph are Cayley graphs and are especially attractive for parallel processing. They both have sublogarithmic diameter, and are fairly sparse compa...
Quan T. Nguyen, Saïd Bettayeb
ICCTA
2007
IEEE
14 years 1 months ago
What Graphs can be Efficiently Represented by BDDs?
We have carried out experimental research into implicit representation of large graphs using reduced ordered binary decision diagrams (OBDDs). We experimentally show that for grap...
Changxing Dong, Paul Molitor
NETWORK
2007
234views more  NETWORK 2007»
13 years 8 months ago
Surveillance Wireless Sensor Networks: Deployment Quality Analysis
Surveillance wireless sensor networks are deployed at perimeter or border locations to detect unauthorized intrusions. For deterministic deployment of sensors, the quality of depl...
Ertan Onur, Cem Ersoy, Hakan Deliç, Lale Ak...