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

7388

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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

Sayıdaki Diğer Makaleler

Corrigendum uniqueness of primary decompositions [Turkish J. Math. 27 (2003), 425-434]

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

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

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