International Journal of Technology

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Partial Actions on Graphs


Affiliations
1 Department of Mathematics, Himachal Pradesh University, Shimla-171005, India
2 Department of Mathematics, Govt. College, Jukhala, Bilaspur-174033, India
     

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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 α-transitivity and β-transitivity of a partial graph is proved where α is a partial action of a group G on the set of vertices and β is a partial action of a group G on the edge set of the graph.
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  • Partial Actions on Graphs

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Authors

R. P. Sharma
Department of Mathematics, Himachal Pradesh University, Shimla-171005, India
Rajni Parmar
Department of Mathematics, Himachal Pradesh University, Shimla-171005, India
V. S. Kapil
Department of Mathematics, Govt. College, Jukhala, Bilaspur-174033, India

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 α-transitivity and β-transitivity of a partial graph is proved where α is a partial action of a group G on the set of vertices and β is a partial action of a group G on the edge set of the graph.