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The covering radius of the cycle code of a graph

✍ Scribed by Patrick Solé; Thomas Zaslavsky


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
475 KB
Volume
45
Category
Article
ISSN
0166-218X

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📜 SIMILAR VOLUMES


Maximality of the cycle code of a graph
✍ Patrick Solé; Thomas Zaslavsky 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 274 KB

The cycle code of a graph is the binary linear span of the characteristic vectors of circuits. We characterize the graphs whose cycle codes are maximal for the packing problem, based on characterizing the graphs whose girth is at least :(n-c)+ 1 where n and c are the numbers of vertices and connecte

On the covering radius of Reed-Muller co
✍ Gérard D. Cohen; Simon N. Litsyn 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 371 KB

We present lower and upper bounds on the covering radius of Reed-Muller codes, yielding asymptotical improvements on known results. The lower bound is simply the sphere covering one (not very new). The upper bound is derived from a thorough use of a lemma, the 'essence of Reed-Mullerity'. The idea