In this thesis, we deal with rainbow colorings of graphs. We engage not with the rainbow connection number but with counting of rainbow colorings in graphs with k colors. We introduce the rainbow polynomial and prove some results for some special graph classes. Furthermore, we obtain bounds for the rainbow polynomial. In addition, we define some edge colorings related to the rainbow coloring, like the s-rainbow coloring and the 2-rainbow coloring. For this edge colorings, polynomials are defined and we prove some basic properties for this polynomials and present some formulas for the calculation in special graph classes. In addition, we consider in this thesis counting problems related to the rainbow coloring like rainbow pairs and rainbow ...
A rainbow path in an edge coloured graph is a path in which no two edges are coloured the same. A ra...
The use of algebraic techniques to solve combinatorial problems is studied in this paper. We formula...
AbstractAn edge colored graph G = (V(G), E(G)) is said rainbow connected, if any two vertices are co...
In this thesis, we deal with rainbow colorings of graphs. We engage not with the rainbow connection ...
In this thesis, we deal with rainbow colorings of graphs. We engage not with the rainbow connection ...
A path in an edge colored graph is said to be a rain bow path if no two edges on the path have the s...
An edge-coloured graph G is rainbow-connected if any two vertices are connected by a path whose edge...
In a properly vertex-colored graph G, a path P is a rainbow path if no two vertices of P have the sa...
An edge-coloured graph G is rainbow-connected if any two vertices are connected by a path whose edge...
Let G be a graph with an edge k-coloring γ : E(G) → {1, …, k} (not necessarily proper). A path is ca...
The concept of rainbow connection was introduced by Chartrand, Johns, McKeon and Zhang in 2008. Nowa...
This paper studies the Rainbow Ramsety Number for a non empty graph and the main results are 1. The ...
The use of algebraic techniques to solve combinatorial problems is studied in this paper. We formula...
A path in an edge-colored graph G is rainbow if no two edges of it are colored the same. The graph G...
A rainbow path in an edge coloured graph is a path in which no two edges are coloured the same. A ra...
A rainbow path in an edge coloured graph is a path in which no two edges are coloured the same. A ra...
The use of algebraic techniques to solve combinatorial problems is studied in this paper. We formula...
AbstractAn edge colored graph G = (V(G), E(G)) is said rainbow connected, if any two vertices are co...
In this thesis, we deal with rainbow colorings of graphs. We engage not with the rainbow connection ...
In this thesis, we deal with rainbow colorings of graphs. We engage not with the rainbow connection ...
A path in an edge colored graph is said to be a rain bow path if no two edges on the path have the s...
An edge-coloured graph G is rainbow-connected if any two vertices are connected by a path whose edge...
In a properly vertex-colored graph G, a path P is a rainbow path if no two vertices of P have the sa...
An edge-coloured graph G is rainbow-connected if any two vertices are connected by a path whose edge...
Let G be a graph with an edge k-coloring γ : E(G) → {1, …, k} (not necessarily proper). A path is ca...
The concept of rainbow connection was introduced by Chartrand, Johns, McKeon and Zhang in 2008. Nowa...
This paper studies the Rainbow Ramsety Number for a non empty graph and the main results are 1. The ...
The use of algebraic techniques to solve combinatorial problems is studied in this paper. We formula...
A path in an edge-colored graph G is rainbow if no two edges of it are colored the same. The graph G...
A rainbow path in an edge coloured graph is a path in which no two edges are coloured the same. A ra...
A rainbow path in an edge coloured graph is a path in which no two edges are coloured the same. A ra...
The use of algebraic techniques to solve combinatorial problems is studied in this paper. We formula...
AbstractAn edge colored graph G = (V(G), E(G)) is said rainbow connected, if any two vertices are co...