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ENDM
2002
113views more  ENDM 2002»
15 years 4 months ago
On robust cycle bases
Two types of robust cycle bases are defined via recursively nice arrangements; complete and bipartite complete graphs are shown to have such bases. It is shown that a diagram in a...
Paul C. Kainen
TGC
2010
Springer
15 years 2 months ago
An Algebra of Hierarchical Graphs
We define an algebraic theory of hierarchical graphs, whose axioms characterise graph isomorphism: two terms are equated exactly when they represent the same graph. Our algebra can...
Roberto Bruni, Fabio Gadducci, Alberto Lluch-Lafue...
DAM
2008
145views more  DAM 2008»
15 years 4 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 4 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 4 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