Title
On vertex-degree restricted subgraphs in polyhedral graphs
Abstract
First a brief survey of known facts is given. Main result of this paper: every polyhedral (i.e. 3-connected planar) graph G with minimum degree at least 4 and order at least k (k ≤ 4) contains a connected subgraph on k vertices having degrees (in G) at most 4k - 1, the bound 4k- 1 being best possible.
Year
DOI
Venue
2002
10.1016/S0012-365X(01)00368-5
Discrete Mathematics
Keywords
Field
DocType
main result,brief survey,polyhedral graph,known fact,subgraph with restricted degrees,3-connected planar graph,3-connected planar,light graph,connected subgraph,graph g,vertex-degree restricted subgraphs,minimum degree,path,planar graph
Discrete mathematics,Combinatorics,Vertex (geometry),Polyhedron,Polyhedral graph,Triangulation (social science),Isomorphism,Degree (graph theory),Connectivity,Mathematics,Planar graph
Journal
Volume
Issue
ISSN
256
1-2
Discrete Mathematics
Citations 
PageRank 
References 
5
0.63
10
Authors
1
Name
Order
Citations
PageRank
Igor Fabrici110114.64