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» Derandomized Squaring of Graphs
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ALGORITHMICA
2007
82views more  ALGORITHMICA 2007»
13 years 6 months ago
Rigid Components in Molecular Graphs
In this paper we consider 3-dimensional generic bar-and-joint realizations of squares of graphs. These graphs are also called molecular graphs due to their importance in the study...
Bill Jackson, Tibor Jordán
DM
2000
111views more  DM 2000»
13 years 6 months ago
Representations of graphs modulo n
A graph is said to be representable modulo n if its vertices can be labelled with distinct integers between 0 and n - 1 inclusive such that two vertices are adjacent if and only i...
Anthony B. Evans, Garth Isaak, Darren A. Narayan
CORR
2010
Springer
175views Education» more  CORR 2010»
13 years 6 months ago
On affine rigidity
We study the properties of affine rigidity of a (hyper)graph and prove a variety of fundamental results. First, we show that affine rigidity is a generic property (i.e., only depen...
Steven J. Gortler, Craig Gotsman, Ligang Liu, Dyla...
ENDM
2002
113views more  ENDM 2002»
13 years 6 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
COMBINATORICS
1999
90views more  COMBINATORICS 1999»
13 years 6 months ago
New Bounds for Codes Identifying Vertices in Graphs
Let G = (V, E) be an undirected graph. Let C be a subset of vertices that we shall call a code. For any vertex v V , the neighbouring set N(v, C) is the set of vertices of C at d...
Gérard D. Cohen, Iiro S. Honkala, Antoine L...