Sep 28, 2011 · In this paper, we study Hamiltonian properties of the locally connected graphs with a bounded vertex degree. A graph G is Hamiltonian if G ...

Oct 22, 2024 · We consider the existence of Hamiltonian cycles for the locally connected graphs with a bounded vertex degree. For a graph G, ...

Semantic Scholar extracted view of "Hamiltonian properties of locally connected graphs with bounded vertex degree" by V. Gordon et al.

Pancyclicity is a stronger structural property than Hamiltonicity. An even stronger structural property is for a graph to be cycle extendable. Hendry ...

... hamiltonian properties of locally connected graphs with a bounded vertex degree. We shall use the terminology of [1]. Let G be a graph with the vertex set V ...

Apr 27, 2022 · Strusevich, Hamiltonian properties of locally connected graphs with bounded vertex degree, Discrete · Appl. Math. 159 (16) (2011) 1759–1774 ...

If G is a connected LC graph of order at least 3 with ∆ ≤ 4, then G is either hamiltonian or isomorphic to the complete tripartite graph K1,1,3. Global cycle ...

Aug 13, 2020 · We give an explicit deterministic construction of a class of graphs of bounded degree that are locally Hamiltonian, but (globally) far from being Hamiltonian.

Oct 22, 2024 · A graph G is called N2-locally connected if every vertex of G is N2-connected. A well-known result by Oberly and Sumner is that every connected ...

A graph G is locally connected iff for every vertex v , the open ... Hamiltonian properties of locally connected graphs with bounded vertex degree