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math.CO2022
Local Irregularity Conjecture vs. cacti
Jelena Sedlar, Riste Škrekovski
A graph is locally irregular if the degrees of the end-vertices of every edge are distinct. An edge coloring of a graph G is locally irregular if every color induces a locally irre…
math.CO2022
A note on the locally irregular edge colorings of cacti
Jelena Sedlar, Riste Škrekovski
A graph is locally irregular if the degrees of the end-vertices of every edge are distinct. An edge coloring of a graph G is locally irregular if every color induces a locally irre…
math.CO2022
Remarks on the vertex and the edge metric dimension of 2-connected graphs
Martin Knor, Jelena Sedlar, Riste Škrekovski
The vertex (resp. edge) metric dimension of a graph G is the size of a smallest vertex set in G which distinguishes all pairs of vertices (resp. edges) in G and it is denoted by di…