wiener way to dimensionality

نویسندگان

o. ori

f. cataldo

d. vukičević

a graovac

چکیده

this note introduces a new general conjecture correlating the dimensionality dt of an infinitelattice with n nodes to the asymptotic value of its wiener index w(n). in the limit of large nthe general asymptotic behavior w(n)≈ns is proposed, where the exponent s and dt are relatedby the conjectured formula s=2+1/dt allowing a new definition of dimensionality dw=(s-2)-1.being related to the topological wiener index, dw is therefore called wiener dimensionality.successful applications of this method to various infinite lattices (like graphene, nanocones,sierpinski fractal triangle and carpet) testify the validity of the conjecture for infinite lattices.

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عنوان ژورنال:
iranian journal of mathematical chemistry

ناشر: university of kashan

ISSN 2228-6489

دوره 1

شماره Issue 2 (Special Issue Dedicated to the Pioneering Role of Ivan Gutman In Mathematical Chemistry) 2010

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