OALib Journal
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May 21, 2020Open    AccessArticle

Schultz and Modified Schultz Polynomials of Vertex Identification Chain for Square and Complete Square Graphs

Mahmood M. Abdullah, Ahmed M. Ali
In this paper, we find the polynomials, indices and average distance for Schultz and modified Schultz of vertex identification chain for 4-cycle and 4- cycle complete.


Aug 27, 2019Open    AccessArticle

Schultz and Modified Schultz Polynomials of Some Cog-Special Graphs

Ahmed M. Ali, Haitham N. Mohammed
For a connected graph G, the Schultz and modified Schultz polynomials are defined as, respectively, where the summations are taken over all unordered pairs of distinct vertices in V(G), is the degree of vertex u, is the distance between u and v and V(G) is the vertex set of G. In this paper, we find Schultz and modified Schultz polynomials of the Cog-special graphs such as a complete graph,
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Dec 20, 2017Open    AccessArticle

Derivatives over Certain Finite Rings

Soud K. Mohamed
We introduce a derivative of a relation over the ring of integers modulo an odd number which is based on the very fundamental concepts which helped in the evolution of derivative of a function over the real number field, namely slope. Then, for a prime field GF(p
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Oct 17, 2016Open    AccessArticle

Soft Vibrational Force on Stock Market Networks

Mehmet Ali Balci, Qmer Akgüller
Stock market networks commonly involve uncertainty, and the theory of soft sets emerges as a powerful tool to handle it. In this study, we present a soft analogue of the differential of a vibrational potential function acting on a stock market network as vibrational force. For this purpose, we first study the vibrational potential function operating on each vertex by using the Laplacian of the neighborhood graph, then applied the
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Jun 27, 2016Open    AccessArticle

Log-Concavity of Centered Polygonal Figurate Number Sequences

Fekadu Tolessa Gedefa
This paper investigates the log-concavity of the centered m-gonal figurate number sequences. The author proves that for m≥3, the sequence {Cn(m)}
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May 19, 2015Open    AccessArticle

On a Logical Model of Combinatorial Problems

Anatoly D. Plotnikov
The paper proposes a logical model of combinatorial problems; it also gives an example of a problem of the class NP that cannot be solved in polynomial time on the dimension of the problem.


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