3 papers
math.GN2026
Graphs on Topological Spaces
Peter J. Cameron, Vinod Kumar P. B
Graphs defined on groups, such as power graphs, enhanced power graphs and commuting graphs, form a hierarchy under inclusion of edge sets. We develop an analogous theory for topolo…
math.DS2026
Temporal Metric Spaces and Temporal Iterated Function Systems
Amal P. S., Vinod Kumar P. B., Ramkumar P. B
We introduce temporal metric spaces, a framework for formalizing metric and topological structures on continuously evolving domains. Rather than defining a single metric on a fixed…
math.DS2026
Hausdorff Dimension of a Class of Self-Affine Sets
Amal P. S., Vinod Kumar P. B., Ramkumar P. B
In this paper, exact Hausdorff dimension formulas for a class of self-affine attractors generated by affine Iterated Function Systems are derived. We consider systems containing an…