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On the construction of the self-complementary graphs on 12 nodes

✍ Scribed by Marg Kropar; Ronald C. Read


Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
807 KB
Volume
3
Category
Article
ISSN
0364-9024

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✦ Synopsis


Abstract

We briefly describe how we compiled a catalog of all the 720 self‐complementary graphs on 12 nodes. In our first attempt at this compilation one graph was inadvertently omitted. The missing graph was subsequently found by making use of a theoretical formula due to Parthasarathy and Sridharan for counting self‐complementary graphs with given partitions.


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## Abstract In this article an algorithm to generate self‐avoiding chains fitting a predefined lattice is described. The lattice has to fulfill some mild conditions but can be one, two, or many dimensional. The chains are random in the sense that they are calculated in such a way that every chain f