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Subdivision Number of Graphs and Falsity of a conjecture

✍ Scribed by V. Swaminathan; P. Sumathi


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
67 KB
Volume
15
Category
Article
ISSN
1571-0653

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πŸ“œ SIMILAR VOLUMES


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## Abstract The conjecture that for all sufficiently large __p__ any tournament of order __p__ is uniquely reconstructable from its point‐deleted subtournaments is shown to be false. Counterexamples are presented for all orders of the form 2^n^ + 1 and 2^n^ + 2. The largest previously known counter

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It has been brought to my attention by Ramachandran that there is an error in the proof of Theorem 1 in my paper [1]. The theorem is true-the pairs of vertex-deleted tournaments are isomorphic-but the description of the isomorphism is incorrect. The number r i should not be the remainder of i modulo

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An equivalent statement of the circuit double cover conjecture is that every bridgeless graph \(G\) has a circuit cover such that each vertex \(v\) of \(G\) is contained in at most \(d(v)\) circuits of the cover, where \(d(v)\) is the degree of \(v\). Pyber conjectured that every bridgeless graph \(