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» On almost self-complementary graphs
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AAAI
2007
13 years 10 months ago
Discovering Near Symmetry in Graphs
Symmetry is a widespread phenomenon that can offer opportunities for powerful exploitation in areas as diverse as molecular chemistry, pure mathematics, circuit design, biology an...
Maria Fox, Derek Long, Julie Porteous
DM
2010
107views more  DM 2010»
13 years 7 months ago
Degree-associated reconstruction number of graphs
A card of a graph G is a subgraph formed by deleting one vertex. The Reconstruction Conjecture states that each graph with at least three vertices is determined by its multiset of...
Michael D. Barrus, Douglas B. West
CORR
2008
Springer
110views Education» more  CORR 2008»
13 years 7 months ago
Finding Dense Subgraphs in G(n,1/2)
Finding the largest clique in random graphs is a well known hard problem. It is known that a random graph G(n, 1/2) almost surely has a clique of size about 2 log n. A simple greed...
Atish Das Sarma, Amit Deshpande, Ravi Kannan
RSA
2006
81views more  RSA 2006»
13 years 7 months ago
On random points in the unit disk
Let n be a positive integer and > 0 a real number. Let Vn be a set of n points in the unit disk selected uniformly and independently at random. Define G(, n) to be the graph w...
Robert B. Ellis, Xingde Jia, Catherine H. Yan
COMBINATORICS
2006
105views more  COMBINATORICS 2006»
13 years 7 months ago
Edge-Magic Group Labellings of Countable Graphs
We investigate the existence of edge-magic labellings of countably infinite graphs by abelian groups. We show for that for a large class of abelian groups, including the integers ...
Nicholas J. Cavenagh, Diana Combe, Adrian M. Nelso...