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Research

Structure, uncertainty and decisions.

Two decades of work linking the combinatorics of networks with rough-set reasoning and, increasingly, applied machine learning and analytics.

Trajectory

How the research programme has evolved

Each phase builds on the tools of the one before it.

2007 – 2014

Resolvability in graphs

Metric and partition dimension of wheels, Petersen, circulant and Cayley graphs; fault tolerance.

2014 – 2020

Symmetry & distinguishability

Fixing, determining and distinguishing numbers; hypergraphs; functigraphs; controllability.

2020 – present

Rough sets & granulation

Granular computing in networks and algebraic structures; attribute reduction; pattern recognition.

Applied

Analytics & decisions

Feature selection, graph-based learning, portfolio and risk models, supply-chain decision support.

Themes

Research areas

Counts reflect the 69 journal articles in the CV, grouped by primary theme.

42 PAPERS

Graph & Network Theory

How few vertices are needed to uniquely locate every other vertex? Metric and partition dimension, fault-tolerant and local variants, fixing, determining and distinguishing numbers, and their use in network controllability.

7 PAPERS

Rough Sets & Granular Computing

Rough-set approximation and information granulation applied to graphs, vector spaces, symmetry groups and commutative-ring networks — with applications in pattern recognition, social-network dynamics and feature selection.

9 PAPERS

Graph Labeling

Edge-magic, antimagic and irregularity labelings and deficiencies for families such as wheels, ladders, chordal rings and polytopes.

8 PAPERS

Algebra & Discrete Structures

Derivations on rings, Γ-rings and lattices; braid groups; algebraic graphs from rings and vector spaces.

Current programmes

Active research and development

Applied programmes that bring mathematical methods to clinical, financial, operational and institutional decisions.

AI & Decision Support

Graph-Induced Granular Intelligence for Clinical Decision Support

Graph-based patient granulation, feature selection and explainable clinical decision support.

Active research programme
Supply Chain Intelligence

AI-Driven Supply Chain Digital Twin

Prediction, system dynamics, simulation, optimization, decision support and feedback for supply-chain digital twins.

Research & development programme
Data Systems & AI

AI-Integrated University ERP

A layered university ERP concept combining data modelling, DBMS, Python, machine learning and application services.

Teaching / development programme
Financial Analytics

Dynamic Stock Forecasting with Graph Attention Networks

Graph-attention and sequence modelling for position-trading oriented stock forecasting.

Research programme
Business Analytics

BRAGS Decision Intelligence

Business Risk Analysis & Growth Strategy supported by diagnostic, predictive and prescriptive analytics.

Framework development

Research collaboration

Open to joint work in granular computing, explainable AI, network science and decision analytics — and to PhD and MPhil enquiries in these areas.