2023South East Asian J of Mathematics and Mathematical SciencesOpen access

TRANSIT ISOMORPHISM AND ITS STUDY ON OCTANE ISOMERS

K. M. Reshmi, Raji Pilakkat

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Abstract

Having defined and studied, the transit index and transit decomposition of a connected graph, we introduce the concept of transit isomorphism. In this paper we discuss the transit isomorphism between certain graphs and its line graphs. Construction of transit isomorphic graphs is also dealt with. Finally we discuss how transit isomorphism relates to chemical properties of octane isomers.

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Having defined and studied, the transit index and transit decomposition of a connected graph, we introduce the concept of transit isomorphism. In this paper we discuss the transit isomorphism between certain graphs and its line graphs. Construction of transit isomorphic graphs is also dealt with. Finally we discuss how transit isomorphism relates to chemical properties of octane isomers.

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Available abstract

Having defined and studied, the transit index and transit decomposition of a connected graph, we introduce the concept of transit isomorphism. In this paper we discuss the transit isomorphism between certain graphs and its line graphs. Construction of transit isomorphic graphs is also dealt with. Finally we discuss how transit isomorphism relates to chemical properties of octane isomers.

Key concepts: Isomorphism (crystallography), Graph isomorphism, Octane, Transit (satellite), Combinatorics, Graph, Decomposition, Mathematics

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