Title
Structure and pancyclicity of maximal planar graphs with diameter two
Abstract
A graph G on n vertices is called non-universal if its maximum degree is at most n-2. In this paper, we give a structural characterization for non-universal maximal planar graphs with diameter two. In precise, we find 10 basic graphs, and then generate all 25 non-universal maximal planar graphs with diameter two by adding repeatedly and appropriately 3-vertices to some of these 10 basic graphs. As an application, we show that maximal planar graphs with diameter two are pancyclic except five special graphs.
Year
DOI
Venue
2022
10.1007/s10878-021-00749-7
JOURNAL OF COMBINATORIAL OPTIMIZATION
Keywords
DocType
Volume
Maximal plane graph, Diameter two, Pancyclicity, Dominating set
Journal
43
Issue
ISSN
Citations 
1
1382-6905
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Shu-Yu Cui100.68
Yiqiao Wang249442.81
Danjun Huang301.01
Hongwei Du400.34
Weifan Wang586889.92