Carmen Hernando

Papers

Total Citations

164

H-Index

About

Carmen Hernando is a prominent mathematician whose research lies at the intersection of graph theory and metric geometry, with a particular focus on the metric dimension of graphs—a concept that quantifies how uniquely vertices can be identified by their distances to a chosen set of landmarks. Her most-cited work, "On the metric dimension of some families of graphs" (2005), has garnered 164 citations and stands as a foundational contribution to the field. In this paper, Hernando systematically determines the metric dimension for several important graph families, including trees, cycles, and grids, providing explicit formulas and algorithms that have become essential tools for applications in network theory, robot navigation, and sensor localization. Her rigorous analysis and elegant combinatorial proofs have influenced a generation of researchers working on graph invariants and their computational aspects. Beyond this landmark paper, Hernando has continued to explore related topics such as resolving sets, locating-dominating sets, and the interplay between graph structure and metric properties. Her work is widely cited in both theoretical and applied contexts, reflecting its lasting impact on discrete mathematics and its real-world relevance.