Some properties on the tensor product of graphs obtained by monogenic semigroups

Akgüneş, Nihat; Das, Kinkar Ch.; Çevik, A. Sinan

doi:10.1016/j.amc.2014.03.007

Cited by 8 publications

(11 citation statements)

References 17 publications

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“…Some various types of monogenic semigroups including the tensor, lexicographic, strong and disjunctive products were studied in [20], [21], [19] and [18]. Also some topological indices of monogenic semigroups were calculated in [24], [22] and [23].…”

Section: Now Let Us Recall the Definitions Of The Wiener Index And Momentioning

confidence: 99%

On the Wiener Index of the Dot Product Graph over Monogenic Semigroups

AYDIN¹,

Akgüneş²,

Cangül³

2020

Eur. J. Pure Appl. Math.

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Algebraic study of graphs is a relatively recent subject which arose in two main streams: One is named as the spectral graph theory and the second one deals with graphs over several algebraic structures. Topological graph indices are widely-used tools in especially molecular graph theory and mathematical chemistry due to their time and money saving applications. The Wiener index is one of these indices which is equal to the sum of distances between all pairs of vertices in a connected graph. The graph over the nite dot product of monogenic semigroups has recently been dened and in this paper, some results on the Wiener index of the dot product graph over monogenic semigroups are given.

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Section: Now Let Us Recall the Definitions Of The Wiener Index And Momentioning

confidence: 99%

On the Wiener Index of the Dot Product Graph over Monogenic Semigroups

AYDIN¹,

Akgüneş²,

Cangül³

2020

Eur. J. Pure Appl. Math.

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“…On the other hand, as another future project, since the main idea in the paper [13] was to defined a new graph over a special algebraic structure, namely finite monogenic monoids, and since our main goal in here is quite similar with that paper (just by replacing monoids with groups), one may also study some special graph products (for instance, lexicographic, tensor, cartesian etc.) as in the papers [5,6], and so investigate the effect of these products to the related groups.…”

Section: Perfectness Property Of γ(G)mentioning

confidence: 99%

A new graph over semi-direct products of groups

Topkaya

Çevik

2016

Filomat

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“…In previous studies, The Cartesian product, the lexicographic product, the strong product, the disjunctive product and the corona product of monogenic semigroup graphs were defined and some properties were given in [1,2,7,13,14].…”

Section: Introductionmentioning

confidence: 99%