Nested Locally Hamiltonian Graphs and the Oberly-Sumner Conjecture

A graph G is locally 𝒫, abbreviated L𝒫, if for every vertex v in G the open neighbourhood N(v) of v is non-empty and induces a graph with property 𝒫. Specifically, a graph G without isolated vertices is locally connected (LC) if N(v) induces a connected graph for each v ∈ V (G), and locally hamilton...

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Bibliographic Details
Main Authors: de Wet Johan P., Frick Marietjie
Format: Article
Language:English
Published: University of Zielona Góra 2022-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2346