Institutional Repository

Scholar@UOC is the primary academic repository of the University of Calicut.

This repository is aimed to collect, preserve and distribute the research output of the members of our University. This is an open access system hosted and managed by the University Library.

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Now showing 1 - 5 of 38

Recent Submissions

A study on closely connected vertices in graphs
(Department of Mathematics, University of Calicut, 2025) Priya, K; Anil Kumar, V
Graph theory is one of the thriving branches of mathematics. The smooth operation of communication networks is largely dependent on the reliability of communication infrastructure. Fault tolerance is the ability of a system to con- tinue operating as intended despite errors and the main aim is to design fault- tolerant networks by minimizing link failures. In this thesis, emphasizing on the need for fault-tolerant mechanisms for reliable communication between the nodes in a network, a new graph concept called “closely-connected vertices” is introduced and studied in a detailed manner. A pair of distinct vertices in a finite simple undirected graph is said to be closely-connected if there exists a geodesic linking them preserving the connec- tivity of the graph. The properties of closely-connected vertices are analysed for various graphs and a variation of domination called cc-domination is formulated. Further, the idea of cc-domination polynomial is developed and a topological index called vertex-connectivity index is studied. Moreover, the ideas of vertex connectivity polynomial and the stability properties of its roots are discussed. The significance of the study is analysed and the concluding chapter specifies certain recommendations of the thesis.
Stochastic modelling and analysis of some generalized queueing networks and their applications
(Department of Statistics, University of Calicut, 2025) Anjale Ramesh; Manoharan,M
Queueing theory is a field dedicated to the modelling and analysis of queues or waiting lines. It provides mathematical tools to optimise various processes in service systems to enhance overall system performance. Most of the real-world service systems operate under time- varying conditions, such as fluctuating arrival and service processes. Analysing the transient behaviour of such time-varying queueing systems is significantly more challenging than steady-state analysis. This research focuses on the transient analysis of time-varying queues, which have practical applications in real-life service systems. The study investigates the transient distributional law that links the virtual workload to customer waiting times in a non- stationary general single-server queueing system. Additionally, a simulation study is conducted to validate the transient measure alongside other performance measures. The research also introduces a general algorithmic framework to derive transient performance measures in a k-station Markovian tandem network, supported by numerical studies that analyse the transient behaviour of these performance measures. Furthermore, a comparative study is presented on a Markovian non-stationary two-station tandem network with finite queue capacity, examining different blocking mechanisms. The study provides explicit expressions for transient performance measures under both BAS and BBS blocking mechanisms. Another significant contribution of this research is the exploration of time- varying approximations for performance measures in a feed-forward open queueing network comprising single-server queues with time-varying arrival rates. An algorithm is developed to compute time-varying approximations for performance measures in feed-forward open queueing networks of Gt /G/1 queues. The thesis concludes by emphasizing the critical role of time-varying queues in real-life service systems and offers actionable recommendations for future research directions.
Quantile based study of income distributions and income inequality measures
(Farook College, University of Calicut, 2025) Ashlin Varkey; Haritha N Haridas
Income distributions and income inequality measures are key topics in econom- ics and statistics, focusing on the allocation of wealth and resources across different segments of a population. Understanding these concepts is crucial for evaluating economic policies, social equity, and economic development. There are two primary approaches to modeling data: the distribution function approach and the quantile function approach. This thesis emphasizes a quantile-based analysis of income dis- tributions and income inequality measures. We explore various quantile functions from the literature and assess their potential for modeling income data. We conduct a comprehensive quantile-based income analysis of the Power-Pareto (PP) distribu- tion by deriving key income inequality measures and examining the Lorenz ordering associated with it. Additionally, simulation, estimation, and application aspects are investigated. This study introduces the Singh-Maddala-Dagum (SMD) distribution, defined as the sum of the quantile functions of the Singh-Maddala (SM) and Dagum distributions. Its distributional properties, along with measures of income inequality and poverty, are derived. The poverty gap ratio and Foster-Greer-Thorbecke (FGT) measures are formulated in quantile terms. Estimation of parameters and prac- tical applications are conducted. Furthermore, this thesis includes a quantile-based comparative analysis of income inequality across Indian states. Six parametric mod- els with closed-form quantile functions, including Weibull, PP, SM, Dagum, SMD, and Modified Lambda Family (MLF), are employed to model per capita household income across Indian states using data from the India Human Development Survey- II (IHDS-II). Parameter estimation and validation are performed for each model. For every state, empirical income inequality measures, including the Gini, Pietra, Atkinson, generalized entropy, Bonferroni, and Frigyes measures, are derived and compared with theoretical values from the best-fitting model. This thesis concludes by highlighting the significance of quantile functions in income modeling and out- lining potential directions for future research
Taxonomic studies on the family Urticaceae Juss in Peninsular India
(Department of Botany, University of Calicut, 2025) Jeomol, K K; Sunojkumar, P
Physico chemical and bioactivity studies of certain algae from Thikkodi north west coast of Kerala
(Sreenarayana College, Nattika, 2025) Sruthy, E P M; Chitra, G