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Full-Text Articles in Physical Sciences and Mathematics
K-Total Product Cordial Labelling Of Graphs, R. Ponraj, M. Sundaram, M. Sivakumar
K-Total Product Cordial Labelling Of Graphs, R. Ponraj, M. Sundaram, M. Sivakumar
Applications and Applied Mathematics: An International Journal (AAM)
In this paper we introduce the k-Total Product cordial labelling of graphs. Also we investigate the 3-Total Product cordial labelling behaviour of some standard graphs.
Generalizations Of Two Statistics On Linear Tilings, Toufik Mansour, Mark Shattuck
Generalizations Of Two Statistics On Linear Tilings, Toufik Mansour, Mark Shattuck
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we study generalizations of two well-known statistics on linear square-and-domino tilings by considering only those dominos whose right half covers a multiple of , where is a fixed positive integer. Using the method of generating functions, we derive explicit expressions for the joint distribution polynomials of the two statistics with the statistic that records the number of squares in a tiling. In this way, we obtain two families of q -generalizations of the Fibonacci polynomials. When 1, our formulas reduce to known results concerning previous statistics. Special attention is payed to the case …
Q -Analogs Of Identities Involving Harmonic Numbers And Binomial Coefficients, Toufik Mansour, Mark Shattuck, Chunwei Song
Q -Analogs Of Identities Involving Harmonic Numbers And Binomial Coefficients, Toufik Mansour, Mark Shattuck, Chunwei Song
Applications and Applied Mathematics: An International Journal (AAM)
Recently, McCarthy presented two algebraic identities involving binomial coefficients and harmonic numbers, one of which generalizes an identity used to prove the Apéry number supercongruence. In 2008, Prodinger provided human proofs of identities initially obtained by Osburn and Schneider using the computer program Sigma. In this paper, we establish q -analogs of a fair number of the identities appearing in McCarthy (Integers 11 (2011): A37) and Prodinger (Integers 8 (2008): A10) by making use of q -partial fractions.