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» The Strongly Regular (40, 12, 2, 4) Graphs
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COMBINATORICS
2000
82views more  COMBINATORICS 2000»
13 years 4 months ago
The Strongly Regular (40, 12, 2, 4) Graphs
In a previous paper it was established that there are at least 27 non-isomorphic strongly regular (40, 12, 2, 4) graphs. Using a different and more efficient method we have re-inv...
Edward Spence
BMCBI
2007
113views more  BMCBI 2007»
13 years 4 months ago
CoryneRegNet 4.0 - A reference database for corynebacterial gene regulatory networks
Background: Detailed information on DNA-binding transcription factors (the key players in the regulation of gene expression) and on transcriptional regulatory interactions of micr...
Jan Baumbach
DM
2007
136views more  DM 2007»
13 years 4 months ago
Lower connectivities of regular graphs with small diameter
Krishnamoorthy, Thulasiraman and Swamy [Minimum order graphs with specified diameter, connectivity and regularity, Networks 19 (1989) 25–46] showed that a δ-regular graph with...
Camino Balbuena, Xavier Marcote
ENDM
2006
91views more  ENDM 2006»
13 years 4 months ago
There are exactly five biplanes with k=11
A biplane is a 2-(k(k - 1)/2 + 1, k, 2) symmetric design. Only sixteen nontrivial biplanes are known: there are exactly nine biplanes with k < 11, at least five biplanes with k...
Patric R. J. Östergård, Petteri Kaski
CPC
2002
113views more  CPC 2002»
13 years 4 months ago
Some Inequalities For The Largest Eigenvalue Of A Graph
Let (G) be the largest eigenvalue of the adjacency matrix of a graph G: We show that if G is Kp+1-free then (G) r 2 p 1 p e (G): This inequality was ...rst conjectured by Edwards ...
Vladimir Nikiforov