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We call this kind of cycle the Hamilton cycle and the graph that contains such a cycle is called a Hamiltonian graph. Definition 2 Consider an undirected graph.
Feb 13, 2017 · In this article we study the problem of finding a Hamilton cycle in a random intersection graph. To this end we analyse a classical algorithm ...
A common question for a graph is whether it has a cycle, a set of edges that form a path so that the first and the last vertex is the same, that visits all the ...
Mar 1, 2018 · In this article we study the problem of finding a Hamilton cycle in a random intersection graph. To this end we analyse a classical algorithm.
Jul 4, 2021 · We provide an annotated bibliography for the study of Hamilton cycles in random graphs and hypergraphs. 1 Introduction. As is well-known, the ...
A rigorous definition of the model of random intersection graphs, where each vertex chooses randomly from a universal set the members of its corresponding ...
Jul 25, 2022 · Finding Hamilton cycles (i.e. a cycle containing all n vertices) is NP complete in general, but the problem is easy on random graphs as we need ...
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Random Intersection Graphs is a new class of random graphs introduced in [5], in which each of n vertices randomly and independently chooses some elements ...
Nov 21, 2024 · This paper investigates the number of random edges required to add to an arbitrary dense graph in order to make the resulting graph Hamiltonian ...
Apr 19, 2024 · Abstract. We establish the threshold function for the property that the line graph of a random r r -uniform hypergraph has a Hamilton cycle.