Add to ORKGWe discuss the existence of Hamilton cycles in the random graph $G_{n,p}$ where there are restrictions caused by (i) coloring sequences, (ii) a subset of vertices must occur in a specific order and (iii) there is a bound on the number of inversions in the associated permutation
Akbari, Etesami, Mahini, and Mahmoody conjectured that every proper edge colouring of Kn with n colo...
We provide an annotated bibliography for the study of Hamilton cycles in random graphs and hypergrap...
AbstractA digraph with n vertices and fixed outdegree m is generated randomly so that each such digr...
Given an $n$ vertex graph whose edges have colored from one of $r$ colors $C=\{c_1,c_2,\ldots,c_r\}$...
All questions considered in this thesis are related to either some class of Random Graphs or to a ra...
Given an n vertex graph whose edges have colored from one of r colors C = { c1, c2,..., cr}, we defi...
Given a graph on n vertices and an assignment of colours to the edges, a rainbow Hamilton cycle is a...
Abstract. A rainbow subgraph of an edge-coloured graph has all edges of distinct colours. A random d...
<p>Let HPn,m,k be drawn uniformly from all m-edge, k-uniform, k-partite hypergraphs where each part ...
Given a graph on n vertices and an assignment of colours to the edges, a rainbow Hamilton cycle is a...
AbstractGiven an r-regular graph G on n vertices with a Hamilton cycle, order its edges randomly and...
AbstractPósa proved that a random graph with cn log n edges is Hamiltonian with probability tending ...
Let the edges of a graph G be coloured so that no colour is used more than k times. We refer to this...
AbstractPósa proved that a random graph with cnlogn edges is Hamiltonian with probability tending to...
<p>We first consider the following problem. We are given a fixed perfect matching M of [n] and we ad...
Akbari, Etesami, Mahini, and Mahmoody conjectured that every proper edge colouring of Kn with n colo...
We provide an annotated bibliography for the study of Hamilton cycles in random graphs and hypergrap...
AbstractA digraph with n vertices and fixed outdegree m is generated randomly so that each such digr...
Given an $n$ vertex graph whose edges have colored from one of $r$ colors $C=\{c_1,c_2,\ldots,c_r\}$...
All questions considered in this thesis are related to either some class of Random Graphs or to a ra...
Given an n vertex graph whose edges have colored from one of r colors C = { c1, c2,..., cr}, we defi...
Given a graph on n vertices and an assignment of colours to the edges, a rainbow Hamilton cycle is a...
Abstract. A rainbow subgraph of an edge-coloured graph has all edges of distinct colours. A random d...
<p>Let HPn,m,k be drawn uniformly from all m-edge, k-uniform, k-partite hypergraphs where each part ...
Given a graph on n vertices and an assignment of colours to the edges, a rainbow Hamilton cycle is a...
AbstractGiven an r-regular graph G on n vertices with a Hamilton cycle, order its edges randomly and...
AbstractPósa proved that a random graph with cn log n edges is Hamiltonian with probability tending ...
Let the edges of a graph G be coloured so that no colour is used more than k times. We refer to this...
AbstractPósa proved that a random graph with cnlogn edges is Hamiltonian with probability tending to...
<p>We first consider the following problem. We are given a fixed perfect matching M of [n] and we ad...
Akbari, Etesami, Mahini, and Mahmoody conjectured that every proper edge colouring of Kn with n colo...
We provide an annotated bibliography for the study of Hamilton cycles in random graphs and hypergrap...
AbstractA digraph with n vertices and fixed outdegree m is generated randomly so that each such digr...