# The interchange graph of a finite graph

```@article{Rooij1965TheIG,
title={The interchange graph of a finite graph},
author={Arnoud van Rooij and Herbert S. Wilf},
year={1965},
volume={16},
pages={263-269}
}```
• Published 1965
• Mathematics
• Acta Mathematica Academiae Scientiarum Hungarica
Let G be a finite graph. The interchange graph G' of G, has a vertex corresponding to each edge of G, two vertices of G' being connected if the corresponding edges of G have a common vertex in G. In reference , the questions are raised of when G' can be isomorphic to G, and how to describe the sequence of iterated interchange graphs of a given G. We suppose that G has no loops and no multiple edges. The local degree of a vertex a of a graph G is Q (a), the number of edges of G emanating from… Expand
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