Restricted triangulation on circulant graphs

The restricted triangulation existence problem on a given graph decides whether there exists a triangulation on the graph’s vertex set that is restricted with respect to its edge set. Let G = C ( n , S ) be a circulant graph on n vertices with jump value set S . We consider the restricted triangulat...

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Bibliographic Details
Main Authors: Ali, Niran Abbas, Kilicman, Adem, Trao, Hazim Michman
Format: Article
Language:English
Published: De Gruyter 2018
Online Access:http://psasir.upm.edu.my/id/eprint/73782/1/Restricted%20triangulation%20on%20circulant%20graphs.pdf
http://psasir.upm.edu.my/id/eprint/73782/
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Summary:The restricted triangulation existence problem on a given graph decides whether there exists a triangulation on the graph’s vertex set that is restricted with respect to its edge set. Let G = C ( n , S ) be a circulant graph on n vertices with jump value set S . We consider the restricted triangulation existence problem for G . We determine necessary and sufficient conditions on S for which G admitting a restricted triangulation. We characterize a set of jump values S ( n ) that has the smallest cardinality with C ( n , S ( n )) admits a restricted triangulation. We present the measure of non-triangulability of K n − G for a given G .