activity
20072026
most citedLower bounds for the greatest possible number of colors in interval edge colorings of bipartite cylinders and bipartite tori

10 citations · 48 across the 31 of their papers we have counts for

collaborators

37 papers

math.CO2026

Local measures of interval edge-uncolorability

Carl Johan Casselgren, Petros A. Petrosyan

An interval edge coloring of a graph is a proper edge coloring by integers such that the colors on the edges incident with any vertex form an interval of integers. Not all graphs a…

math.CO2024

Interval edge-colorings of Cartesian products of graphs II

Petros A. Petrosyan, Hrant H. Khachatrian, Hovhannes G. Tananyan

An \emph{interval -coloring} of a graph is a proper edge-coloring with colors such that the colors on the edges incident to every vertex of are colored by co…

math.CO2024

Complexity results on locally-balanced -partitions of graphs

Aram H. Gharibyan, Petros A. Petrosyan

A \emph{-partition of a graph } is a function . A -partition of a graph is a \emph{locally-balanced with an open neighborhood} if for ev…

math.CO2021

Decomposing graphs into interval colorable subgraphs and no-wait multi-stage schedules

Armen S. Asratian, Carl Johan Casselgren, Petros A. Petrosyan

A graph is called interval colorable if it has a proper edge coloring with colors such that the colors of the edges incident to every vertex of form an interv…

math.CO2020

Improper interval edge colorings of graphs

Carl Johan Casselgren, Petros A. Petrosyan

A -improper edge coloring of a graph is a mapping such that at most edges of with a common endpoint have the same color. An improp…

math.CO2019

On the deficiency of complete multipartite graphs

Armen R. Davtyan, Gevorg M. Minasyan, Petros A. Petrosyan

An edge-coloring of a graph with colors is an \emph{interval -coloring} if all colors are used, and the colors of edges incident to each vertex of are disti…