Vijay Kumar Bhat

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About

Vijay Kumar Bhat is a mathematician whose research centers on graph theory, with a particular focus on graph invariants—powerful tools for analyzing abstract structures. His work explores metric dimension, local metric dimension, and their variants, including dominant local metric dimension and fault-tolerant resolvability. These concepts have practical applications in robot navigation, pharmaceutical chemistry, network optimization, and sensor networking. Bhat’s most-cited paper, “Metric dimension and edge metric dimension of windmill graphs” (2021), has earned 36 citations, establishing a foundation for understanding these invariants in specific graph families. He has also contributed to the study of planar graphs and generalized wheel graphs, with works like “On the dominant local metric dimension of some planar graphs” (2022, 11 citations) and “On the local metric dimension of generalized wheel graph” (2023, 7 citations). His recent research extends to fault-tolerant resolvability in convex polytope graphs, addressing challenges in intelligent systems. Through these contributions, Bhat advances both theoretical graph theory and its interdisciplinary applications, making his work valuable for students and researchers in mathematics, computer science, and engineering.