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COMBINATORICS
2000
96views more  COMBINATORICS 2000»
15 years 2 months ago
Automorphisms and Enumeration of Switching Classes of Tournaments
Two tournaments T1 and T2 on the same vertex set X are said to be switching equivalent if X has a subset Y such that T2 arises from T1 by switching all arcs between Y and its comp...
László Babai, Peter J. Cameron
COMBINATORICA
2010
15 years 16 days ago
Online vertex-coloring games in random graphs
Consider the following one-player game. The vertices of a random graph on n vertices are revealed to the player one by one. In each step, also all edges connecting the newly reveal...
Martin Marciniszyn, Reto Spöhel
COCOON
2006
Springer
15 years 6 months ago
Finding Small OBDDs for Incompletely Specified Truth Tables Is Hard
We present an efficient reduction mapping undirected graphs G with n = 2k vertices for integers k to tables of partially specified Boolean functions g : {0, 1}4k+1 {0, 1, } so tha...
Jesper Torp Kristensen, Peter Bro Miltersen
ENDM
2006
70views more  ENDM 2006»
15 years 3 months ago
Quasirandomness in Graphs
Jim Propp's rotor router model is a simple deterministic analogue of a random walk. Instead of distributing chips randomly, it serves the neighbors in a fixed order. We analy...
Benjamin Doerr, Tobias Friedrich
IM
2007
15 years 3 months ago
Pursuit-Evasion in Models of Complex Networks
Vertex pursuit games, such as the game of Cops and Robbers, are a simplified model for network security. In these games, cops try to capture a robber loose on the vertices of the ...
Anthony Bonato, Pawel Pralat, Changping Wang