Graph Theory & Metric Dimension
Distance-based distinguishing parameters, resolving sets, graph automorphisms and related structural properties.
Metric DimensionResolving SetsGraph Parameters
Research & publications
From distinguishing graphs to representing intelligent networks.
My research foundation lies in Graph Theory and distance-based graph parameters. I am extending this mathematical perspective toward graph representation, neural networks and the structural foundations of intelligent systems.
Graph intelligence model
Metric coordinatesr(v | W) = (2, 4, 3)structure → representation → learning
Research arc
A continuous mathematical direction.
The methods evolve, but the central question remains: how can structure distinguish, represent and explain complex systems?
Network Representation
Using coordinate systems, graph structure and mathematical features to create informative representations of networked data.
NetworksCoordinatesRepresentation
Graph Learning & Mathematical AI
Studying how mathematically grounded features can strengthen structural awareness in neural networks and graph learning.
GNNsNeural NetworksAI
Current research direction
Metric-coordinate features for graph learning.
I am investigating whether coordinates derived from a resolving set can provide neural models with explicit structural information that standard local aggregation may overlook.
The aim is to connect a classical Graph Theory concept with modern representation learning in a mathematically interpretable pipeline.
Questions worth computing
Where mathematical structure can contribute.
Current and emerging questions at the intersection of graphs, learning, optimization and data-driven systems.
Expressiveness
Can resolving-set coordinates distinguish graph structures that message passing treats similarly?
Interpretability
Can distance-based features offer a clearer structural explanation of node representations?
Efficiency
How should landmark sets be selected to balance information, computation and scalability?
Applications
Where can graph coordinates improve learning in robotics, networks and relational data?
Publications
Research contributions in Graph Theory.
5peer-reviewed research publications
Selected publication
Contributions to Discrete MathematicsThe Fractional Local Metric Dimension of Graphs
Research on fractional local resolving structures within distance-based graph parameters.
Selected publication
Utilitas MathematicaAutomorphism Related Parameters of a Graph Associated to a Finite Vector Space
Fixing neighborhoods, fixed number and graph automorphisms associated with finite vector spaces.
Selected publication
Journal of Inequalities and ApplicationsOn Some Bounds of the Topological Indices of Generalized Sierpiński and Extended Sierpiński Graphs
Bounds for several degree-based topological indices of self-similar graph families.
Research collaboration