Color‐biased Hamilton cycles in random graphs - Gishboliner - 2022 - Random Structures &
Algorithms - Wiley Online Library Skip to Article Content Skip to Article Information Wiley Online …

A graph is Hamiltonian if it contains a cycle passing through every vertex. One of the
cornerstone results in the theory of random graphs asserts that for edge probability, the …

We study two problems related to the existence of Hamilton cycles in random graphs. The
first question relates to the number of edge disjoint Hamilton cycles that the random graph G …

We consider the existence of patterned Hamilton cycles in randomly colored random graphs.
Given a string Π over a set of colors {1,2,...,r\}, we say that a Hamilton cycle is Π-colored if the …

We define a space of random edge-coloured graphs [Gscr] n, m, κ which correspond
naturally to edge κ-colourings of Gn, m. We show that there exist constants K0, K1 [les] 21 …

On the number of hamilton cycles in a random graph Page 1 On the Number of Hamilton Cycles
in a Random Graph - C. Cooper DEPARTMENT OF COMPUTING, MATHEMATICS AND …

We show how to adjust a very nice coupling argument due to McDiarmid in order to
prove/reprove in a novel way results concerning Hamilton cycles in various models of …

It is shown that, for ϵ> 0 and n> n0 (ϵ), any complete graph K on n vertices whose edges
are colored so that no vertex is incident with more than (1‐1/\sqrt2‐ϵ) n edges of the same …

Let the edges of a graph $ G $ be coloured so that no colour is used more than $ k $ times.
We refer to this as a $ k $-bounded colouring. We say that a subset of the edges of $ G $ is …

We study the existence of powers of Hamiltonian cycles in graphs with large minimum
degree to which some additional edges have been added in a random manner. It follows …