5 papers
Edge Coalitions in Graphs
Nazli Besharati, Azam Sadat Emadi, Iman Masoumi
Coalition concepts have been extensively studied in domination theory for vertex sets, whereas their edge counterparts have remained largely unexplored. Motivated by this, we intro…
Further Results on the Majority Roman Domination in graphs
Azam Sadat Emadi, Iman Masoumi, Seyed Reza Musawi
Let be a simple graph of order . A Majority Roman Dominating Function (MRDF) on a graph G is a function if the sum of its function value…
Edge coalitions in graphs
Nazli Besharati, Azam Sadat Emadi, Iman Masoumi
An edge coalition in a graph consists of two disjoint sets of edges and , neither of which is an edge dominating set but whose union is an edge d…
Majority dominator colorings of graphs
Marcin Anholcer, Azam Sadat Emadi, Doost Ali Mojdeh
Let be a simple graph of order . A majority dominator coloring of a graph is proper coloring in which each vertex of the graph dominates at least half of one color class…
Total vertex product irregularity strength of graphs
Marcin Anholcer, Azam Sadat Emadi, Doost Ali Mojdeh
Consider a simple graph . We call a labeling (\textit{total vertex}) \textit{product-irregular}, if all product degrees …