Add to ORKGAkbari, Etesami, Mahini, and Mahmoody conjectured that every proper edge colouring of Kn with n colours contains a Hamilton cycle with ≤O(logn) colours. They proved that there is always a Hamilton cycle with ≤8n−−√ colours. In this note we improve this bound to O(log3n)
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A c-edge-colored multigraph has each edge colored with one of the c available colors and no two para...
We discuss the existence of Hamilton cycles in the random graph $G_{n,p}$ where there are restrictio...
In this paper we consider optimal edge colored complete graphs. We show that in any optimal edge col...
Akbari, Etesami, Mahini, and Mahmoody conjectured that every proper edge colouring of Kn with n colo...
It is shown that, for >0 and n>n0(), any complete graph K on n vertices whose edges are colored so t...
AbstractThe edges of the complete graph Kn are coloured so that no colour appears more than k=k(n) t...
Abstract: "The edges of the complete graph K[subscript n] are coloured so that no colour appears no ...
Let Kcn denote a complete graph on n vertices whose edges are colored in an arbitrary way. Let ∆mon(...
Given an $n$ vertex graph whose edges have colored from one of $r$ colors $C=\{c_1,c_2,\ldots,c_r\}$...
A subgraph of an edge-coloured complete graph is called rainbow if all its edges have different colo...
A subgraph of an edge-coloured complete graph is called rainbow if all its edges have different colo...
AbstractWe show the existence of a constant c such that if n ⩾ ck3 and the edges of Kn are coloured ...
AbstractWe consider edge-coloured complete graphs. A path or cycle Q is called properly coloured (PC...
A path (cycle) is properly-colored if consecutive edges are of distinct colors. In 1997, Bang-Jensen...
Let G be an edge-colored graph. The minimum color degree of G is the minimum number of different col...
A c-edge-colored multigraph has each edge colored with one of the c available colors and no two para...
We discuss the existence of Hamilton cycles in the random graph $G_{n,p}$ where there are restrictio...
In this paper we consider optimal edge colored complete graphs. We show that in any optimal edge col...
Akbari, Etesami, Mahini, and Mahmoody conjectured that every proper edge colouring of Kn with n colo...
It is shown that, for >0 and n>n0(), any complete graph K on n vertices whose edges are colored so t...
AbstractThe edges of the complete graph Kn are coloured so that no colour appears more than k=k(n) t...
Abstract: "The edges of the complete graph K[subscript n] are coloured so that no colour appears no ...
Let Kcn denote a complete graph on n vertices whose edges are colored in an arbitrary way. Let ∆mon(...
Given an $n$ vertex graph whose edges have colored from one of $r$ colors $C=\{c_1,c_2,\ldots,c_r\}$...
A subgraph of an edge-coloured complete graph is called rainbow if all its edges have different colo...
A subgraph of an edge-coloured complete graph is called rainbow if all its edges have different colo...
AbstractWe show the existence of a constant c such that if n ⩾ ck3 and the edges of Kn are coloured ...
AbstractWe consider edge-coloured complete graphs. A path or cycle Q is called properly coloured (PC...
A path (cycle) is properly-colored if consecutive edges are of distinct colors. In 1997, Bang-Jensen...
Let G be an edge-colored graph. The minimum color degree of G is the minimum number of different col...
A c-edge-colored multigraph has each edge colored with one of the c available colors and no two para...
We discuss the existence of Hamilton cycles in the random graph $G_{n,p}$ where there are restrictio...
In this paper we consider optimal edge colored complete graphs. We show that in any optimal edge col...