We consider proper edge colorings of a graph G using colors of the set {1,..., k}. Such a
coloring is called neighbor sum distinguishing if for any pair of adjacent vertices x and y the …

An adjacent vertex distinguishing edge-coloring of a graph G is a proper edge coloring of G
such that any pair of adjacent vertices are incident to distinct sets of colors. The minimum …

An adjacent vertex-distinguishing edge coloring, or avd-coloring, of a graph G is a proper
edge coloring of G such that no pair of adjacent vertices meets the same set of colors. Let …

Let c be a proper edge coloring of a graph with integers. Then, while Vizing's theorem
guarantees that we can take. On the course of investigating irregularities in graphs, it has …

A proper [k]-edge coloring of a graph G is a proper edge coloring of G using colors from
[k]={1, 2,…, k}. A neighbor sum distinguishing [k]-edge coloring of G is a proper [k]-edge …

Consider a simple graph G=(V, E) and its proper edge colouring c with the elements of the
set {1, 2,…, k}. The colouring c is said to be neighbour sum distinguishing if for every pair of …

Consider a simple graph and its proper edge coloring c with the elements of the set. We say
that c is neighbor set distinguishing (or adjacent strong) if for every edge, the set of colors …

An adjacent vertex distinguishing edge-coloring of a graph G is a proper edge-coloring o G
such that any pair of adjacent vertices are incident to distinct sets of colors. The minimum …

A proper edge coloring of a graph G is neighbor-distinguishing if any two adjacent vertices
have distinct sets consisting of colors of their incident edges. The neighbor-distinguishing …

An adjacent vertex distinguishing edge coloring is a proper edge coloring such that any two
adjacent vertices have distinct sets consisting of colors of their incident edges. It was …