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JCT
2007
90views more  JCT 2007»
14 years 11 months ago
Enumeration problems for classes of self-similar graphs
We describe a general construction principle for a class of self-similar graphs. For various enumeration problems, we show that this construction leads to polynomial systems of rec...
Elmar Teufl, Stephan Wagner
COMBINATORICS
2000
112views more  COMBINATORICS 2000»
14 years 11 months ago
A Note on Random Minimum Length Spanning Trees
Consider a connected r-regular n-vertex graph G with random independent edge lengths, each uniformly distributed on [0, 1]. Let mst(G) be the expected length of a minimum spanning...
Alan M. Frieze, Miklós Ruszinkó, Lub...
COCOON
2007
Springer
15 years 5 months ago
Connected Coloring Completion for General Graphs: Algorithms and Complexity
An r-component connected coloring of a graph is a coloring of the vertices so that each color class induces a subgraph having at most r connected components. The concept has been w...
Benny Chor, Michael R. Fellows, Mark A. Ragan, Igo...
COMBINATORICS
1998
84views more  COMBINATORICS 1998»
14 years 11 months ago
Multimatroids II. Orthogonality, minors and connectivity
A multimatroid is a combinatorial structure that encompasses matroids, delta-matroids and isotropic systems. This structure has been introduced to unify a theorem of Edmonds on th...
André Bouchet
93
Voted
DM
2007
101views more  DM 2007»
14 years 11 months ago
Threshold graphs, shifted complexes, and graphical complexes
We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the inde...
Caroline J. Klivans