Some Combinatorial Aspects of Constructing Bipartite-Graph Codes
✍ Scribed by Alexander A. Davydov, Massimo Giulietti, Stefano Marcugini…
- Book ID
- 120788657
- Publisher
- Springer Japan
- Year
- 2011
- Tongue
- English
- Weight
- 337 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0911-0119
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📜 SIMILAR VOLUMES
A (v,k,p) optical orthogonal code ~ is a family of (0,1)-sequences of length v and weight k satisfying the following two properties: (1)~o<.,<.v\_lXtX,+i<~p, for any x = (Xo, x ~ ..... x ~\_ ~ ) e ~ and any integer i ~ 0 (rood v); (2) 5~ o ~, .< ~-~ x~ y, + ~ ~< p, for any x ~ y in ~ and any integer
## Abstract We construct an incidence structure using certain points and lines in finite projective spaces. The structural properties of the associated bipartite incidence graphs are analyzed. These __n__ × __n__ bipartite graphs provide constructions of __C__~6~‐free graphs with Ω(__n__^4/3^ edges
d 2,n 2 ) is a bipartite graphical sequence, if there is a bipartite graph G with degrees {D 1 , D 2 } (i.e., G has two independent vertex sets In other words, {D 1 , D 2 } is a bipartite graphical sequence if and only if there is an n 1 1 n 2 matrix of 0's and 1's having d 1j 1 1's in row j 1 and