Add to ORKGA harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colours appears together on at most one edge. The harmonious chromatic number h(G) is the least number ot colours in such a colouring. Let d be a fixed positive integer, and e > 0. We show that there is a natural number M such that if G is any graph with m = M edges and maximum degree at most d, then the harmonious chromatic number h(G) satisfies (2m) = h(G) = (1+e) (2m)
Let G be a simple graph and Delta(G) denote the maximum degree of G. A harmonious colouring of G is ...
Let G be a simple graph and Delta(G) denote the maximum degree of G. A harmonious colouring of G is ...
AbstractThe harmonious chromatic number of a graph G, denoted by h(G), is the least number of colors...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
A harmonious colouring of a simple graph G is a colouring of the vertices such that adjacent vertice...
A harmonious coloring of a simple graph G is a proper vertex coloring such that each pair of colors ...
A harmonious coloring of a simple graph G is a proper vertex coloring such that each pair of colors ...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
We present an improved upper bound on the harmonious chromatic number of an arbitrary graph. We also...
We present an improved upper bound on the harmonious chromatic number of an arbitrary graph. We also...
Let G be a simple graph and Delta(G) denote the maximum degree of G. A harmonious colouring of G is ...
Let G be a simple graph and Delta(G) denote the maximum degree of G. A harmonious colouring of G is ...
AbstractThe harmonious chromatic number of a graph G, denoted by h(G), is the least number of colors...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
A harmonious colouring of a simple graph G is a colouring of the vertices such that adjacent vertice...
A harmonious coloring of a simple graph G is a proper vertex coloring such that each pair of colors ...
A harmonious coloring of a simple graph G is a proper vertex coloring such that each pair of colors ...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colou...
We present an improved upper bound on the harmonious chromatic number of an arbitrary graph. We also...
We present an improved upper bound on the harmonious chromatic number of an arbitrary graph. We also...
Let G be a simple graph and Delta(G) denote the maximum degree of G. A harmonious colouring of G is ...
Let G be a simple graph and Delta(G) denote the maximum degree of G. A harmonious colouring of G is ...
AbstractThe harmonious chromatic number of a graph G, denoted by h(G), is the least number of colors...