distance property of fullerenes

نویسندگان

a. graovac

o. ori

m. faghani

a. r. ashrafi

چکیده

fullerenes are closed−cage carbon molecules formed by 12 pentagonal and n/2 – 10hexagonal faces, where n is the number of carbon atoms. patrick fowler in his lecture inmcc 2009 asked about the wiener index of fullerenes in general. in this paper werespond partially to this question for an infinite class of fullerenes with exactly 10ncarbon atoms. our method is general and can be applied to fullerene graphs withcentrosymmetric adjacency matrix.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

asymptotic property of order statistics and sample quntile

چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...

15 صفحه اول

Distance-Sensitive Property Testing Lower Bounds

In this paper, we consider several property testing problems and ask how the query complexity depends on the distance parameter ǫ. We achieve new lower bounds in this setting for the problems of testing whether a function is monotone and testing whether the function has low Fourier degree. For monotonicity testing, our lower bound matches the recent upper bound of Chakrabarty and Seshadhri [12].

متن کامل

Degeneracy of Topologic Distance Descriptors for Cubic Molecular Graphs: Examples of Small Fullerenes

The degeneracy of topological distance sum (DS) and distance degree sequence (DDS) of small fullerenes is analyzed. The degeneracy of the two topological descriptors is determined by comparing the topological equivalence classes of the fullerene atoms with the DS and DDS classes, respectively. On the basis of DS and DDS degenerated fullerene graphs and by using two previously demonstrated theor...

متن کامل

A Distance Property of the Feuerbach Point and Its Extension

We prove that among the distances from the inner Feuerbach point of a triangle to the midpoints of the three sides, one is equal to the sum of the remaining two. The same is true if the inner Feuerbach point is replaced by any one of the outer Feuerbach points.

متن کامل

Differentiability of Distance Functions and a Proximinal Property Inducing Convexity

In a normed linear space X, consider a nonempty closed set K which has the property that for some r > 0 there exists a set of points xo € X\K, d(xoK) > r, which have closest points p(xo) € K and where the set of points xo — r((xo — p(xo))/\\xo — p(zo)||) is dense in X\K. If the norm has sufficiently strong differentiability properties, then the distance function d generated by K has similar dif...

متن کامل

The average distance property of classical Banach spaces II

A Banach space X has the average distance property (ADP) if there exists a unique real number r such that for each positive integer n and all x1, . . . , xn in the unit sphere of X there is some x in the unit sphere of X such that 1 n n ∑ k=1 ‖xk − x‖ = r. We show that lp does not have the average distance property if p > 2. This completes the study of the ADP for lp spaces.

متن کامل

منابع من

با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید


عنوان ژورنال:
iranian journal of mathematical chemistry

ناشر: university of kashan

ISSN 2228-6489

دوره 2

شماره Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday) 2011

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023