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GD
2004
Springer
14 years 2 months ago
Intersection Reverse Sequences and Geometric Applications
Pinchasi and Radoiˇci´c [11] used the following observation to bound the number of edges of a topological graph without a self-crossing cycle of length 4: if we make a list of t...
Adam Marcus, Gábor Tardos
COMBINATORICS
2004
74views more  COMBINATORICS 2004»
13 years 8 months ago
Enumerative Problems Inspired by Mayer's Theory of Cluster Integrals
The basic functional equations for connected and 2-connnected graphs can be traced back to the statistical physicists Mayer and Husimi. They play an essential role in establishing...
Pierre Leroux
FMCO
2005
Springer
173views Formal Methods» more  FMCO 2005»
14 years 2 months ago
Cluster-Based LTL Model Checking of Large Systems
Abstract. In recent years a bundle of parallel and distributed algorithms for verification of finite state systems has appeared. We survey distributed-memory enumerative LTL mode...
Jiri Barnat, Lubos Brim, Ivana Cerná
DM
2010
128views more  DM 2010»
13 years 8 months ago
Some remarks on the geodetic number of a graph
A set of vertices D of a graph G is geodetic if every vertex of G lies on a shortest path between two not necessarily distinct vertices in D. The geodetic number of G is the minimu...
Mitre Costa Dourado, Fábio Protti, Dieter R...
ALGORITHMICA
2002
159views more  ALGORITHMICA 2002»
13 years 8 months ago
Algorithmic Aspects of Acyclic Edge Colorings
A proper coloring of the edges of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by a (G), is the least number of...
Noga Alon, Ayal Zaks