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» Finite locally-quasiprimitive graphs
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CSL
2007
Springer
14 years 4 months ago
The Power of Counting Logics on Restricted Classes of Finite Structures
Abstract. Although Cai, F¨urer and Immerman have shown that fixedpoint logic with counting (IFP + C) does not express all polynomialtime properties of finite structures, there h...
Anuj Dawar, David Richerby
STRINGOLOGY
2008
13 years 11 months ago
The Road Coloring and Cerny Conjecture
A synchronizing word of a deterministic automaton is a word in the alphabet of colors (considered as letters) of its edges that maps the automaton to a single state. A coloring of...
Avraham Trahtman
EJC
2006
13 years 10 months ago
Invariant subspaces, duality, and covers of the Petersen graph
A general method for finding elementary abelian regular covering projections of finite connected graphs is applied to the Petersen graph. As a result, a complete list of pairwise ...
Aleksander Malnic, Primoz Potocnik
EJC
2008
13 years 10 months ago
Generalised dualities and maximal finite antichains in the homomorphism order of relational structures
The motivation for this paper is three-fold. First, we study the connectivity properties of the homomorphism order of directed graphs, and more generally for relational structures...
Jan Foniok, Jaroslav Nesetril, Claude Tardif
DAC
1994
ACM
14 years 1 months ago
Probabilistic Analysis of Large Finite State Machines
Regarding nite state machines as Markov chains facilitates the application of probabilistic methods to very large logic synthesis and formal veri cation problems. Recently, we ha...
Gary D. Hachtel, Enrico Macii, Abelardo Pardo, Fab...