Combinatorial Intricacies of Labeled Fano Planes

Given a seven-element set X = { 1 , 2 , 3 , 4 , 5 , 6 , 7 } , there are 30 ways to define a Fano plane on it. Let us call a line of such a Fano plane—that is to say an unordered triple from X—ordinary or defective, according to whether the sum of two smaller integers from the triple is or is...

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Bibliographic Details
Main Author: Metod Saniga
Format: Article
Language:English
Published: MDPI AG 2016-08-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/18/9/312