## Abstract

The iterated line graph sequence L ^{i} , i=1,2,..., of a graph G is defined so that L ^{1} is the line graph of G, L ^{2} is the line graph of L ^{1} , etc. Let G be a molecular graph possessing m _{0} edges and let m _{i} be the number of edges of L ^{i} , i=1,2,.... We examine the applicability of the linear model a _{0} m _{i0} +a _{1} m _{i1} + +a _{2} m _{i2} +...+a _{k} m _{ik} +b for predicting physico-chemical properties of alkanes (boiling points, molar volumes, molar refractions, heats of vaporization, critical temperatures, critical pressures and surface tensions). For all properties studied, the optimal model has k=2, i _{0} =0, i _{1} =1, but i _{2} varies between 2 and 4.

Original language | English |
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Pages (from-to) | 439-445 |

Number of pages | 7 |

Journal | ACH - Models in Chemistry |

Volume | 137 |

Issue number | 4 |

Publication status | Published - 1 Jan 2000 |

Externally published | Yes |