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and Ronald C Read
ENUMERATION OF CYCLIC GRAPHS
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acyclic adjacency matrix alcohols alkanes alkyl radicals Amer Angew annulene apiaxial aromatic Balaban be-matrices belong benzene carbon atoms Chem chemical Chim chromatic graph coefﬁcients combinatorial compounds conﬁguration connected contains corresponding counting series cubic graphs cubic multigraphs cycle graph cycle index cyclic deﬁned deﬁnition derived descriptor double bonds edges eigenvalues ELCO electrons enumeration equation equilibrium equivalent expression factor FIEM ﬁnd ﬁrst formula FRELs given graph theory graph-like graph-theoretical Harary Hiickel hydrocarbons hydrogen hyperstructure interconverted isomerization labelled ligand linear order molecular graph molecules multigraphs nodes notation obtained pairs parameters particles partition function pathways permutation isomers Phys planar points Polya possible problem quantum chemistry reaction matrices reduced graph representation represented result ring rooted trees rotation skeletal skeleton species speciﬁc statistical mechanics stereoisomers structural isomers subgraph substitution symmetry number Table theorem topological matrix valence isomers vertices