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1.509  Articles
1 of 152 pages  |  10  records  |  more records»
We propose a stable factorization procedure to generate a strictly Hurwitz polynomial from a given strictly positive even polynomial. This problem typically arises in applications involving real frequency techniques. The proposed method does not require a... see more

In this paper, we study the interlace polynomial of a special graph with n vertices, called 4n-snowflake graph. It is similar as the friendship graph Fn of n vertices, which is made of n 3-cycles sharing one ce... see more

Using the combinatorial formula for the transformed Macdonald polynomials of Haglund, Haiman, and Loehr, we investigate the combinatorics of the symmetry relation ˜Hµ(x;q,t)=˜Hµ*(x;t,q)\widetilde{H}_\mu(\mathbf{x};q,t)=\widetilde{H}_{\mu^\ast}(\mathbf{x};... see more

In this research work the implementation of a mathematical model to a road is carried out where the mathematical procedure is intended to be applied in the road of the urban sector of a municipality, mathematically modeling its behavior in order to find t... see more

In this paper, we examine interlace polynomials of lollipop andtadpole graphs. The lollipop and tadpole graphs are similar in that they bothinclude a path attached to a graph by a single vertex. In this paper we giveboth explicit and recursive formulas fo... see more

In this paper we explore the characteristic polynomials of degree sum adjacency matrix DSA(G) of a simple undirected graph G. We state a relation between the structure of a graph with the coefficients of its DSA polynomial. We obt... see more

In this paper, we introduce a parametric type of Bernoulli polynomials with higher level and study their characteristic and combinatorial properties. We also give determinant expressions of a parametric type of Bernoulli polynomials with higher level. The... see more

Sentiment analysis is a technique in extracting information in the form of a person's views (sentiments) on an issue or event. In this study, sentiment analysis was used to classify public responses related to the Covid-19 virus outbreak through uploads o... see more

We continue our study on relationships between Bernoulli polynomials and balancing (Lucas-balancing) polynomials. From these polynomial relations, we deduce new combinatorial identities with Fibonacci (Lucas) and Bernoulli numbers. Moreover, we prove a sp... see more

1 of 152 pages  |  10  records  |  more records»