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Partial Actions on Graphs Sharma R.P.1, Parmar Rajni1, Kapil V.S.2 1Department of Mathematics, Himachal Pradesh University, Shimla-171005, India 2Department of Mathematics, Govt. College, Jukhala, Bilaspur-174033, India *Corresponding Author Email: rp_math_hpu@yahoo.com
** vik_math@yahoo.com
Online published on 2 February, 2017. Abstract We define a partial action of a group on a graph and their partial orbits and stabilizers for partial graphs. Further some relations between partial orbits and stabilizers are proved. A relation between a-transitivity and P-transitivity of a partial graph is proved where α is a partial action of a groupG on the set of vertices and β is a partial action of a group G on the edge set of the graph. Top | |
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