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A necessary and sufficient condition for a graph , which satisfies the equality
Narine N. Davtyan, Rafayel R. Kamalian
A necessary and sufficient condition is found for a graph , which satisfies the equality .
A Description of the Subgraph Induced at a Labeling of a Graph by the Subset of Vertices with an Interval Spectrum
Narine N. Davtyan, Arpine M. Khachatryan, Rafayel R. Kamalian
The sets of vertices and edges of an undirected, simple, finite, connected graph are denoted by and , respectively. An arbitrary nonempty finite subset of consecut…
On one-sided interval edge colorings of biregular bipartite graphs
R. R. Kamalian
A proper edge -coloring of a graph is a coloring of edges of with colors such that all colors are used, and no two adjacent edges receive the same color. The…
It was not known about simple cycles
R. R. Kamalian
A proper edge -coloring of a graph is a coloring of its edges with colors such that all colors are used, and no two adjacent edges receive the same color. For any in…
On the parameter of a complete bipartite graph
A. M. Khachatryan, R. R. Kamalian
A proper edge -coloring of a graph is a coloring of edges of with colors such that all colors are used, and no two adjacent edges receive the same color. The…
A note on interval edge-colorings of graphs
R. R. Kamalian, P. A. Petrosyan
An edge-coloring of a graph with colors is called an interval -coloring if for each there is at least one edge of colored by ,…