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Equidistant dimension of Cartesian product graphs

open access: yes
Given a connected graph $G$, the equidistant dimension of $G$ represents the cardinality of the smallest set of vertices $S$ of $G$ such that for any two vertices $x,y\notin S$ there is at least one vertex in $S$ equidistant to both $x,y$ in terms of distances.
Gispert-Fernandez, Adria   +2 more
openaire   +2 more sources

Projective Planar Cartesian Products of Graphs

open access: yes
In this paper, we provide a complete classification of Cartesian products of graphs that embed in the projective plane. Our work requires us to determine minimal Cartesian products that are nonprojective planar, organize their essential properties to be used as constraints for projective planar embeddings, and explicitly construct projective planar ...
Abell, Nicholas   +2 more
openaire   +2 more sources

Accelerated north-east shift of the global green wave trajectory. [PDF]

open access: yesProc Natl Acad Sci U S A
Mahecha MD   +17 more
europepmc   +1 more source

Status connectivity indices of cartesian product of graphs

open access: yes, 2019
In this paper, we establish one of the recent topological indices called the first status connectivity index S1(G) = Puv?E(G)[?G(u) + ?G(v)] and second status connectivity index S2(G) = Puv?E(G)[?G(u)?G(v)] of Cartesian product of two simple graphs are determined.
openaire   +2 more sources

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