Browsing Department of Mathematics by Title
Now showing items 5-24 of 69
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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 ... -
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 ... -
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 ... -
BLOCK QUIVERS AND THEIR MUTATIONS
(Maseno University, 2010) -
Cesáro-like operators on the Hardy and Bergman spaces of the half plane
(Springer International Publishing, 2016-01-01)We construct integral operators associated with strongly continuous groups of invertible isometries on the Hardy spaces and the weighted Bergman spaces of the upper half plane. Specifically, we obtain the spectrum and point ... -
Combinatorics of oriented trees and tree-like structures
(Stellenbosch University, 2015)In this thesis, a number of combinatorial objects are enumerated. Du and Yin as well as Shin and Zeng (by a different approach) proved an elegant formula for the number of labelled trees with respect to a given ... -
Combinatorics of oriented trees and tree-like structures
(Stellenbosch University, 2015)In this thesis, a number of combinatorial objects are enumerated. Du and Yin as well as Shin and Zeng (by a different approach) proved an elegant formula for the number of labelled trees with respect to a given in degree ... -
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. ... -
Consistency Inference Property of QIC in Selecting the True Working Correlation Structure for Generalized Estimating Equations
(Science Publishing Group, 2019-06-29)Abstract: The generalized estimating equations (GEE) is one of the statistical approaches for the analysis of longitudinal data with correlated response. A working correlation structure for the repeated measures of the ... -
A cost - benefit analysis of substituting bamboo for tobacco: a case study of smallholder tobacco farmers in south Nyanza, Kenya
(Science Journal Publication, 2012)This study examined the economic and financial benefits and costs of farming bamboo as a crop substitute of tobacco in four (4) districts in South Nyanza, Kenya. The World Health Organization Framework Convention on ... -
Deficiency indices and spectrum of fourth order difference equations with unbounded coefficients
(WILEY‐VCH Verlag, 2013-03)Using subspace theory together with appropriate smoothness and decay conditions, we calculated the deficiency indices and absolutely continuous spectrum of fourth order difference equations with unbounded coefficients. In ... -
Effects of inclination angle and free convection on velocity profile for a steady 2-dimensional magnetohydrodynamic fluid flow in an inclined cylindrical pipe
(European Journal of Engineering and Technology Research, 2021)Effects of inclination and free convection on velocity profile for magnetohydrodynamic (MHD) fluid flow in an inclined cylindrical pipe has been investigated. The governing partial differential equations are the equations ... -
Effects of Structural Viscoelasticity in Non-Divergence free Deformable Porous Media with Incompressible Constituents
(Global Journal of Pure and Applied Mathematics, 2018)In this paper, we investigate the importance of structural viscoelasticity in the mechanical response of deformable porous media with incompressible constituents under sudden changes in the external applied quasi-static ... -
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 ... -
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 ... -
Finite Solvable Groups with 4-Regular Prime Graphs
(African Institute for Mathematical Sciences, Master Thesis, 2013-05-23)In this research project, we seek to address the problem of deciding which nite simple graph is a prime graph of a nite group. In particular, we only focus on showing which 4-regular graphs can be prime graphs of some ... -
Fitting Time-series Models to Kisumu Rainfall Data for the Period 1961-2014
(Science Publishing Group, 2020-02-20)Abstract: Many small-scale farmers require adequate forecasts to help them plan for the rainfall. The National Meteorological Service provides forecasts seasonally, monthly and weekly. The forecasts are qualitative in ... -
A Functional Calculus for (α, α+ 1)− type R Operators
(Int. Journal of Math. Analysis,, 2010)A closed densely defined operator H, on a Banach space X, whose spectrum is contained in R and satisfies (z − H)−1 ≤ c z α | z|β ∀ z ∈ R with z α := |z|2 + 1 (1) for some α , β ≥ 0; c > 0, is said to ... -
Groups of isometries associated with automorphisms of the half-plane
(Mississippi State University, 2015)The study of integral operators on spaces of analytic functions has been considered for the past few decades. However, most of the studies in this line are based on spaces of analytic functions of the unit disc. For the ... -
Incremental Modernization of Statistics Teaching and Curriculum at Maseno University, Kenya
(International Association of Statistical Education, 2010)Modernisation of statistics teaching is a continual problem the world over. The advances in statistical methods and tools along with the growing demand of applied practitioners creates a dual need of people with the ...