Catenation of Permutations on Caterpillars

J.Chithra; S.P.Subbiah

doi:https://doi.org/10.14445/22315373/IJMTT-V40P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 40 | Number 1 | Year 2016 | Article Id. IJMTT-V40P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V40P511

Catenation of Permutations on Caterpillars

J.Chithra, S.P.Subbiah

Abstract

: Pnueli Lempel and Even introduced the concept of Permutation Graphs in 1971. If i, j belong to a permutation on p symbols {1, 2, …, p} and i is less than j then there is an edge between i and j in the permutation graph if i appears after j in the sequence of permutation. The permutations realizing path, complete graph, bipartite graph, tripartite graph, double star, wind mill and elongated happy man had been characterized in the first phase of our research. The notion of extending a permutation by ConCatenating with other permutations was introduced by us earlier. This has persuaded to see the permutation of certain caterpillars as Catenation of permutations which is described in this paper.

Keywords

Permutation Graphs, Path, Star, Caterpillar, ConCatenation, Elongated Double Star.

References

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Citation :

J.Chithra, S.P.Subbiah, "Catenation of Permutations on Caterpillars," International Journal of Mathematics Trends and Technology (IJMTT), vol. 40, no. 1, pp. 122-126, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V40P511