Department of Mathematics
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Bijections of plane Husimi graphs and certain combinatorial structures
(EU Academic Publishers, 2023-10-19)Plane Husimi graphs are combinatorial structures obtained when we replace edges in plane trees with complete graphs such that the resultant structures are connected and cycle free. The formula that counts these structures ... -
Bijections for classes of labelled trees
(University of Isfahan, 2024-01-09)Trees are acyclic connected graphs. Plane trees, d-ary trees, binary trees, non crossing trees and their generalizations, which are families of trees, have been enumerated by many authors using various statistics. These ... -
Enumeration of plane and d-ary tree-like structures
(Annals of Mathematics and Computer Science, 2023-08-26)Trees are generalized using various approaches such as considering tree-like structures. Some of the tree-like structures are Husimi graphs, cacti and oriented cacti. These graphs have been enumerated according to number ... -
Reachability in complete t-ary trees
(Annals of Mathematics and Computer Science, 2023-10-01)Mathematical trees such as Cayley trees, plane trees, binary trees, noncrossing trees, t-ary trees among others have been studied extensively. Reachability of vertices as a statistic has been studied in Cayley trees, plane ... -
On the Numerical Solution of Boundary Value Problem (BVP) of the Ordinary Differential Equation (ODE) - The Case of Steady-State Bio-Heat Equation with Combined Heat Transfer Coefficient by Pseudo-Spectral Collocation Method
(European Journal of Engineering and Technology Research, 2023-09-15)Spectral methods for the solution of a boundary value problem of an ordinary differential equation are reviewed with particular emphasis laid on pseudo-spectral collocation method. The pseudo-collocation method is then ... -
Bijections of k-plane trees
(Open journal of discrete Applied Mathematics, 2022)A k-plane tree is a tree drawn in the plane such that the vertices are labeled by integers in the set {1, 2, . . . , k}, the children of all vertices are ordered, and if (i, j) is an edge in the tree, where i and j are ... -
Refined enumeration of k-plane trees and k-noncrossing trees
(2022)A k-plane tree is a plane tree whose vertices are assigned labels between 1 and k in such a way that the sum of the labels along any edge is no greater than k+1. These trees are known to be related to (k+1)-ary trees, and ... -
Application of binary logistic regression model: determinants of contraceptive utilization.
(IJRAR, 2020)Contraceptives uptake among the youth has been a sensitive and controversial issue in the society that has resulted to various social problems that include unwanted pregnancies and sexual transmitted infections among ... -
Three Dimensional Mathematical Models for ConvectiveDispersive Flow of Pesticides in Porous Media
(IJESC, 2018)The transport of solutes through porous media where chemicals undergo adsorption or change process on the surface of the porous materials has been a subject of research over years. Usage of pesticides has resulted in ... -
Norm Properties of S -Universal Operators
(Communications in Advanced Mathematical Sciences, 2020)We investigate the norm properties of a generalized derivation on a norm ideal J in B(H), the algebra of bounded linear operators on a Hilbert space H. Specifically, we extend the concept of S−universality from the inner ... -
Spectra of Composition Groups on the Weighted Dirichlet Space of the Upper Half-Plane
(Springer, 2020)We prove that the group of weighted composition operators induced by contin uous automorphism groups of the upper half plane U is strongly continuous on the weighted Dirichlet space of U, Dα(U). Further, we investigate ... -
On the Norm of a Generalized Derivation
(HIKARI Ltd, 2019)Let H be an infinite dimensional complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For two bounded operators A, B ∈ B(H), the map δAB : B(H) → B(H) is a generalized inner derivation operator ... -
Farmer versus Researcher data collection methodologies: Understanding variations and associated trade-offs
(2019)The number of non-experts (such as farmers) participating in research activities has increased over the years, with the aim of them addressing their heterogeneous conditions. The situation has resulted in them being ... -
Comparative Analysis of Spectral Theory of Second Order Difference and Differential Operators with Unbounded Odd Coefficient
(KYUNGPOOK, 2020)We show that selfadjoint operator extensions of minimal second order differ ence operators have only discrete spectrum when the odd order coefficient is unbounded but grows or decays according to specific conditions. ... -
NOTIONS OF CONTINUITY FOR FINITE RANK MAPS IN THE SPACE OF NORMAL OPERATORS
(2020)We show that a natural extension of a continuous finite rank operator to an arbitrary Hilbert space is continuous. We also give sufficient conditions to calculate delta- epsilon numbers in all the domains of T. In addition, we ... -
On some properties of generalized Fibonacci polynomials
(Open Journal of Discrete Applied Mathematics, 2020)Fibonacci polynomials have been generalized mainly by two ways: by maintaining the recurrence relation and varying the initial conditions and by varying the recurrence relation and maintaining the initial conditions. In ... -
Models for Level Premiums Payable to Benevolent Funds
(Applied Mathematical Sciences, 2020)The application of multiple life actuarial calculations have been stud ied by many authours for instance Elizondo [3] studied the construction of multiple decrement models from associated single decrement expe riences.He ... -
On Generalized Fibonacci Numbers
(Communications in Advanced Mathematical Sciences, 2020)Fibonacci numbers and their polynomials have been generalized mainly by two ways: by maintaining the recurrence relation and varying the initial conditions, and by varying the recurrence relation and maintaining the initial ... -
Refined enumeration of 2-noncrossing trees
(Academic Publishing House, 2021)A 2-noncrossing tree is a connected graph without cycles that can be drawn in the plane with its vertices on the boundary of circle such that the edges are straight line segments that do not cross and all the vertices ... -
On Noncrossing and Plane Tree-Like Structures
(Communications in Advanced Mathematical Sciences, 2021)Mathematical trees are connected graphs without cycles, loops and multiple edges. Various trees such as Cayley trees, plane trees, binary trees, d-ary trees, noncrossing trees among others have been studied extensively. ...
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