Abstract
If we starts with an acyclic orientation and prohibited flipping and flopping to a simple vertex it ends eventually with an orientation and another orientation is accessible from it then one can show that the set of such orientations of a graph with a given flip-flop can be made it to distributive lattice under s-accessibility. Set of orientations of connected finite graph shows that, any two such orientations having same flow difference around all closed loops has obtained from one another by succession of local moves of a simple type .In this paper simple connected graph with n ˃ 1 vertices has been taken and distributivity in set of orientations under s-accessibility will be proved.
Key-Words / Index Term
Acyclic orientations, Flip-Flop, s-accessibility
References
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Citation
Madhu Tiwari, Namrata Kaushal, Nidhi Asthana and C.L.Parihar, "Distributive Lattice Under S-accessibility," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.2, Issue.1, pp.1-3, 2015