Title
Reconstructing a Graph from its Arc Incidence Graph
Abstract
Introduced implicitly by Brualdi and Massey (Discret Math 122(1---3):51---58, 1993) in their work on the strong chromatic index of multigraphs, the arc incidence graph AI(G) of a graph G is defined as the square of the line graph of the incidence graph of G. We describe a linear-time algorithm for recognizing arc incidence graphs and reconstructing a graph with no isolated vertices from its arc incidence graph.
Year
DOI
Venue
2012
10.1007/s00373-011-1073-7
Graphs and Combinatorics
Keywords
Field
DocType
arc incidence graph,incidence coloring conjecture,incidence graph,reconstruction algorithm
Discrete mathematics,Topology,Combinatorics,Line graph,Graph power,Quartic graph,Simplex graph,Null graph,Butterfly graph,Mathematics,Voltage graph,Complement graph
Journal
Volume
Issue
ISSN
28
5
1435-5914
Citations 
PageRank 
References 
1
0.41
8
Authors
2
Name
Order
Citations
PageRank
Stephen G. Hartke115924.56
Geir T. Helleloid2101.73