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» On the Grundy Number of a Graph
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GC
2007
Springer
13 years 7 months ago
Precoloring Extension of Co-Meyniel Graphs
The pre-coloring extension problem consists, given a graph G and a set of nodes to which some colors are already assigned, in finding a coloring of G with the minimum number of co...
Vincent Jost, Benjamin Lévêque, Fr&ea...
CORR
2010
Springer
198views Education» more  CORR 2010»
13 years 4 months ago
Convex Graph Invariants
The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper ...
Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. W...
CORR
2007
Springer
177views Education» more  CORR 2007»
13 years 7 months ago
Another Proof of Wright's Inequalities
We present a short way of proving the inequalities obtained by Wright in [Journal of Graph Theory, 4: 393 – 407 (1980)] concerning the number of connected graphs with ℓ edges m...
Vlady Ravelomanana
WG
2004
Springer
14 years 1 months ago
Coloring a Graph Using Split Decomposition
We show how to use split decomposition to compute the weighted clique number and the chromatic number of a graph and we apply these results to some classes of graphs. In particular...
Michaël Rao
WG
2004
Springer
14 years 1 months ago
Unhooking Circulant Graphs: A Combinatorial Method for Counting Spanning Trees and Other Parameters
It has long been known that the number of spanning trees in circulant graphs with fixed jumps and n nodes satisfies a recurrence relation in n. The proof of this fact was algebra...
Mordecai J. Golin, Yiu-Cho Leung