6 citations · 10 across the 5 of their papers we have counts for
5 papers
Incidence-based random walks on simplicial complexes
C. T. Martínez-Martínez, Francisco J. Sevilla
We introduce an incidence-based random walk on the edges of a random two-dimensional simplicial complex with a complete -skeleton and independently retained triangular faces. Th…
On the distribution of topological and spectral indices on random graphs
C. T. Martínez-Martínez, R. Aguilar-Sánchez, J. A. Méndez-Bermúdez
We perform a detailed statistical study of the distribution of topological and spectral indices on random graphs in a wide range of connectivity regimes. First, we consid…
Stability mapping of bipartite tight-binding graphs with losses and gain: symmetry and beyond
L. A. Moreno-Rodriguez, C. T. Martinez-Martinez, J. A. Mendez-Bermudez +1
We consider bipartite tight-binding graphs composed by nodes split into two sets of equal size: one set containing nodes with on-site loss, the other set having nodes with on-s…
Non-uniform random graphs on the plane: A scaling study
C. T. Martinez-Martinez, J. A. Mendez-Bermudez, Francisco A. Rodrigues +1
We consider random geometric graphs on the plane characterized by a non-uniform density of vertices. In particular, we introduce a graph model where vertices are independently…
Computational and analytical studies of the Randić index in Erdös-Rényi models
C. T. Martinez-Martinez, J. A. Mendez-Bermudez, Jose M. Rodriguez +1
In this work we perform computational and analytical studies of the Randić index in Erdös-Rényi models characterized by vertices connected independently with pr…