Linear Representation of Graphs: Applications to Molecular Graphs

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2023

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info:eu-repo/semantics/altIdentifier/doi/10.21203/rs.3.rs-2213289/v1

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Ali Ashrafi et al., « Linear Representation of Graphs: Applications to Molecular Graphs », HAL SHS (Sciences de l’Homme et de la Société), ID : 10.21203/rs.3.rs-2213289/v1


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In this article we build a linear representation starting from a multigraph; this allows us to give an algebraic view of the multi- graph we are studying. We show that two isomorphic multigraphs give equivalent representations ; conversely two equivalent represen- tations give isomorphic multigraphs. For the clarity of the article we give at the beginning, classical results on representations, never- theless these are specific to our graph representation.

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