Combinatorics and Graph Theory


A Prime Number Based Strategy to Label Graphs and Represent Its Structure as a Single Numerical Value

Authors: Prashanth R. Rao

We present a simple theoretical strategy to represent using a single numerical value “A” called the prime vertex labeling Adjacency value product, all structural information encoded in a graph. This strategy has the potential to allow us to reconstruct the graph in its entirety based on a single number. To do so we assume that we have access to a large list of prime numbers which are infinite in number. This method will allow us to store graph backbone as a numerical value for retrieval and re-use and may also allow development of algorithms that exploit this representation feature as shortcut to address graph isomorphism.

Comments: 2 Pages.

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Submission history

[v1] 2015-12-04 15:55:12
[v2] 2015-12-07 13:16:41
[v3] 2015-12-09 16:10:09

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