Path graphs

CSA2h index -> charged partial surface area descriptors (O HDCA index) cube root molecular weight -> molecular weight cycle cyclic path - graph cycle matrices (C)... 

Moreover, again for linear graphs (i.e. n-alkanes), the Hosoya Z index coincides with the Fibonacci number F , and thus Hosoya and Merrifield-Simmons indices are both closely and directly related. For monocyclic graphs C and iso-path graphs i - L the following relationships between Fibonacci numbers and the Merrifield-Simmons index hold ... 

Table S-3. Fibonacci numbers (F ) and corresponding Merrifield-Simmons indices for linear (Z- ), cyclic (C), and iso-path graphs...

Characteristic Polynomials of Carbon Skeletons of n-Alkanes for n = 1 to n = 12 (Path Graphs of Lengths 1-12)... 

In conclusion, let us recall that until now the canonical labels have been used on individual molecules. This is the first time that the canonical labels have been constructed for a family of molecules, if one disregards trivial cases path graphs, mono-cyclic graphs, and star graphs. Hence, in this chapter, not only have we introduced the novelty of ring closure matrices, but we have opened a new topic in the field of canonical labels concerned with regularities of the canonical labels for families of structurally related molecules. 

While there are still vertices left in the path graph ... 

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