The significance of graph theory for chemistry stems mainly from the existence of the phenomenon of isomerism, which is rationalized by chemical structure theory. Chemical graph theory is a branch of mathematical chemistry which deals with the non-trivial applications of graph theory to solve molecular problems. This branch underwent a dramatic revival lately in different aspects and found numerous applications such as molecular connectivity theory, drug designing, chemical kinetics and study of biomacromolecules. The graph invariants like the topological indices are numerical parameters of a graph which characterize its topology and are a very useful tool for studying pharmacological, toxicological, physical and biological properties of chemical compounds. Another branch of graph theory that has immense applications in chemistry is Spectral Graph Theory which is the study of properties of graphs and the matrices associated with them such as its adjacency matrix or Laplacian Matrix. Graph energy is also a graph invariant which is closely related to a physically meaningful quantity called the “total π-electron energy” of a molecule. The focus of this symposium is to develop new research ideas, problems and conjectures which will instigate further research in the above mentioned important areas of graph theory.
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