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FSTTCS
2010
Springer
14 years 9 months ago
First-Order Logic with Reachability Predicates on Infinite Systems
This paper focuses on first-order logic (FO) extended by reachability predicates such that the expressiveness and hence decidability properties lie between FO and monadic second-o...
Stefan Schulz
SIAMDM
2008
154views more  SIAMDM 2008»
14 years 11 months ago
On the First-Fit Chromatic Number of Graphs
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
József Balogh, Stephen G. Hartke, Qi Liu, G...
EJC
2008
14 years 9 months ago
On a class of finite symmetric graphs
Let be a G-symmetric graph, and let B be a nontrivial G-invariant partition of the vertex set of . This paper aims to characterize (, G) under the conditions that the quotient gr...
Sanming Zhou
CLASSIFICATION
2008
68views more  CLASSIFICATION 2008»
14 years 11 months ago
The Metric Cutpoint Partition Problem
Let G = (V, E, w) be a graph with vertex and edge sets V and E, respectively, and w : E IR+ a function which assigns a positive weight or length to each edge of G. G is called a r...
Alain Hertz, Sacha Varone
COMBINATORICS
2000
61views more  COMBINATORICS 2000»
14 years 11 months ago
Where the Typical Set Partitions Meet and Join
The lattice of the set partitions of [n] ordered by refinement is studied. Suppose r partitions p1, . . . , pr are chosen independently and uniformly at random. The probability tha...
Boris Pittel