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ARSCOM
2007
191views more  ARSCOM 2007»
15 years 6 months ago
Binomial Identities Generated by Counting Spanning Trees
We partition the set of spanning trees contained in the complete graph Kn into spanning trees contained in the complete bipartite graph Ks,t. This relation will show that any prop...
Thomas Dale Porter
CPC
2004
136views more  CPC 2004»
15 years 6 months ago
On the Strong Chromatic Number
The strong chromatic number, S(G), of an n-vertex graph G is the smallest number k such that after adding kn/k-n isolated vertices to G and considering any partition of the vertic...
Penny E. Haxell
DAM
2008
145views more  DAM 2008»
15 years 6 months ago
Graph coloring in the estimation of sparse derivative matrices: Instances and applications
We describe a graph coloring problem associated with the determination of mathematical derivatives. The coloring instances are obtained as intersection graphs of row partitioned s...
Shahadat Hossain, Trond Steihaug
DM
2008
75views more  DM 2008»
15 years 6 months ago
Homogeneous factorisations of graph products
A homogeneous factorisation of a digraph consists of a partition P = {P1, . . . , Pk} of the arc set A and two vertex-transitive subgroups M G Aut() such that M fixes each Pi set...
Michael Giudici, Cai Heng Li, Primoz Potocnik, Che...
JGAA
2008
97views more  JGAA 2008»
15 years 6 months ago
Drawing Bipartite Graphs on Two Parallel Convex Curves
Let G be a bipartite graph, and let e, i be two parallel convex curves; we study the question about whether G admits a planar straight-line drawing such that the vertices of one p...
Emilio Di Giacomo, Luca Grilli, Giuseppe Liotta