M. Y. ALZOUBI, E. A. RAWASHDEH, M. M. M. JARADAT

7185

The Basis Number of the Semi-Composition Product of Some Graphs I

The basis number of a graph G is defined to be the least integer d such that there is a basis \mathcal{B} of the cycle space of G such that each edge of G is contained in at most d members of \mathcal{B}. We investigate the basis number of the semi-composition product of two paths and a cycle with a path.
Anahtar Kelimeler:

Basis number; cycle space; fold; semi-composition product

The Basis Number of the Semi-Composition Product of Some Graphs I

The basis number of a graph G is defined to be the least integer d such that there is a basis \mathcal{B} of the cycle space of G such that each edge of G is contained in at most d members of \mathcal{B}. We investigate the basis number of the semi-composition product of two paths and a cycle with a path.
Keywords:

Basis number; cycle space; fold; semi-composition product,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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