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On distances in generalized Sierpinski graphs
Alejandro Estrada-Moreno, Erick D. Rodriguez-Bazan, Juan A. Rodriguez-Velazquez
In this paper we propose formulas for the distance between vertices of a generalized Sierpiński graph in terms of the distance between vertices of the base graph . In p…
On the Roman domination number of generalized Sierpinski graphs
Fatemeh Ramezani, Erick D. Rodriguez-Bazan, Juan A. Rodriguez-Velazquez
A map is a Roman dominating function on a graph if for every vertex with , there exists a vertex , adjacent to ,…
On the General Randić index of polymeric networks modelled by generalized Sierpiński graphs
Alejandro Estrada-Moreno, Juan A. Rodríguez-Velázquez
The General Randić index of a simple graph is defined as \[ R_α(G)=\sum_{v_{i}\sim v_{j}} (δ_{i}δ_{j})^α, \] where denotes the degree of the vertex . Rodríguez…
On Generalized Sierpiński Graphs
Juan A. Rodríguez-Velázquez, Erick D. Rodríguez-Bazan, Alejandro Estrada-Moreno
In this paper we obtain closed formulae for several parameters of generalized Sierpiński graphs in terms of parameters of the base graph . In particular, we focus on th…