Doctoral Theses
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Analysis and synthesis of functions over the rings z q with noval cryptographic characteristics
(Research and Postgraduate Department of Mathematics St. Thomas College (Autonomous) Thrissur, 20240620)In the design of cryptographic algorithms, mathematical techniques, particularly those based on number theory, abstract algebra, and lin ear algebra, have an inevitable place. Symmetric cryptographic algo rithms like ... 
The study of boundary representations and hyperrigidity of operator spaces and operator Systems.
(KERALA SCHOOL OF MATHEMATICS, 20240704)The title of the thesis is “A STUDY OF BOUNDARY REPRESENTATIONS AND HYPERRIGIDITY OF OPERATOR SPACES AND OPERATOR SYSTEMS”. The thesis begins with a chapter surveying the literature and describing the structure of the ... 
Transit in graphs
(Department of Mathematics, University of Calicut, 2023)In the thesis titled ’Transit in Graphs’, a graph invariant called ”Transit Index” is introduced. Analysis of the transit index in alkanes showed that the correlation between MON, a physical property of alkanes and this ... 
A study on cayley fuzzy graphs and cayley fuzzy graph structures
(Department of Mathematics, University of Calicut, 2022)As most of real life problems deals with vague or imprecise concepts, the theory of fuzzy sets has a wider application than that of classical theories. The fuzzy set is a generalisation of fundamental mathematical concept ... 
A study on strength of strong fuzzy graphs and extra strong k path domination in strong fuzzy graphs
(Department of Mathematics, University of Callicut,2018., 2018) 
On the study of some problems in spectral sets, duggal transformations, and aluthge transformations
(Dept. of Mathematics, University of Calicut,2008., 2008) 
On the study of some problems inspectral sets, duggal transformations, and aluthge transformations
(Department of mathematics, University of Calicut, 2008., 200803) 
Studies on the Group of Homeomor phisms and the Group of LFuzzy Homeomorphisms
(Dept. of Mathematics, University of Calicut., 201701) 
A study on cycles in graphs
(University of Calicut, 202110) 
A study on common neighbor polynomial of graphs
(University of Calicut., 201909) 
Cycle Tracking Set of a Graph
(University of Calicut., 2019) 
Neighbourhood and star v 4 magic labeling of graphs
(University of Calicut, 201910) 
Induced and edge induced v 4 magic labeling of graphs
(University of Calicut, 202010) 
A study on common neighbor polynomial of graphs
(University of Calicut, 201910)