The minimum exponent of the primitive digraphs on the given number of arcs
Primitive digraphs on \(n\) vertices, \(k\) arcs and girth \(s\) are considered. By \(a(n,k,s)\) we mean the minimum exponent taken over all such digraphs. We estimate the number \(a(n,k,s)\) using the Frobenius number for special values of \(k\) and \(s\).
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2004-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol24/2/art/opuscula_math_2418.pdf |
| Summary: | Primitive digraphs on \(n\) vertices, \(k\) arcs and girth \(s\) are considered. By \(a(n,k,s)\) we mean the minimum exponent taken over all such digraphs. We estimate the number \(a(n,k,s)\) using the Frobenius number for special values of \(k\) and \(s\). |
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| ISSN: | 1232-9274 |