منابع مشابه
Codes associated with the odd graphs
Linear codes arising from the row span over any prime field Fp of the incidence matrices of the odd graphs Ok for k ≥ 2 are examined and all the main parameters obtained. A study of the hulls of these codes for p = 2 yielded that for O2 (the Petersen graph), the dual of the binary hull from an incidence matrix is the binary code from points and lines of the projective geometry PG3(F2), which le...
متن کاملSkolem Odd Difference Mean Graphs
In this paper we define a new labeling called skolem odd difference mean labeling and investigate skolem odd difference meanness of some standard graphs. Let G = (V,E) be a graph with p vertices and q edges. G is said be skolem odd difference mean if there exists a function f : V (G) → {0, 1, 2, 3, . . . , p + 3q − 3} satisfying f is 1−1 and the induced map f : E(G) → {1, 3, 5, . . . , 2q−1} de...
متن کاملThe Covering Radius of Hadamard Codes in Odd Graphs
Sol& P., A. Ghafoor and S.A. Sheikh, The covering radius of Hadamard codes in odd graphs, Discrete Applied Mathe-atics 37/38 (1992) 501-5 10. The use of odd graphs has been proposed as fault-tolerant interconnection networks. The following problem originated in their design: what is the graphical covering radius of an Hadamard code of length 2k1 and siLe 2k1 in the odd graph Ok? Of particular i...
متن کاملQuantum error-correcting codes associated with graphs
We present a construction scheme for quantum error correcting codes. The basic ingredients are a graph and a finite abelian group, from which the code can explicitly be obtained. We prove necessary and sufficient conditions for the graph such that the resulting code corrects a certain number of errors. This allows a simple verification of the 1-error correcting property of fivefold codes in any...
متن کاملIntersection graphs associated with semigroup acts
The intersection graph $mathbb{Int}(A)$ of an $S$-act $A$ over a semigroup $S$ is an undirected simple graph whose vertices are non-trivial subacts of $A$, and two distinct vertices are adjacent if and only if they have a non-empty intersection. In this paper, we study some graph-theoretic properties of $mathbb{Int}(A)$ in connection to some algebraic properties of $A$. It is proved that the fi...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2014
ISSN: 0012-365X
DOI: 10.1016/j.disc.2013.10.015