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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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
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