Dendrimers are the unique chemical trees with maximum spectral radius

Türker Biyikoglu; Josef Leydold

Dendrimers are the unique chemical trees with maximum spectral radius

Türker Biyikoglu
, Josef Leydold

Statistics and Mathematics

Publikation: Wissenschaftliche Fachzeitschrift › Originalbeitrag in Fachzeitschrift › Begutachtung

Abstract

It is shown that dendrimers have maximum spectral radius and maximum Collatz-Sinogowitz index among all chemical trees of given size. The result is also generalized for the class of chemical trees with prescribed number of pendant vertices.

Originalsprache	Englisch
Seiten (von - bis)	851 - 854
Fachzeitschrift	MATCH Communications in Mathematical and in Computer Chemistry
Jahrgang	68
Ausgabenummer	3
Publikationsstatus	Veröffentlicht - 1 Dez. 2012

Zitat

@article{db5cfb060012443f90caff377c7067da,

title = "Dendrimers are the unique chemical trees with maximum spectral radius",

abstract = "It is shown that dendrimers have maximum spectral radius and maximum Collatz-Sinogowitz index among all chemical trees of given size. The result is also generalized for the class of chemical trees with prescribed number of pendant vertices.",

author = "T{\"u}rker Biyikoglu and Josef Leydold",

year = "2012",

month = dec,

day = "1",

language = "English",

volume = "68",

pages = "851 -- 854",

journal = "MATCH Communications in Mathematical and in Computer Chemistry",

issn = "0340-6253",

publisher = "University of Kragujevac, Faculty of Science",

number = "3",

}

TY - JOUR

T1 - Dendrimers are the unique chemical trees with maximum spectral radius

AU - Biyikoglu, Türker

AU - Leydold, Josef

PY - 2012/12/1

Y1 - 2012/12/1

N2 - It is shown that dendrimers have maximum spectral radius and maximum Collatz-Sinogowitz index among all chemical trees of given size. The result is also generalized for the class of chemical trees with prescribed number of pendant vertices.

AB - It is shown that dendrimers have maximum spectral radius and maximum Collatz-Sinogowitz index among all chemical trees of given size. The result is also generalized for the class of chemical trees with prescribed number of pendant vertices.

M3 - Journal article

SN - 0340-6253

VL - 68

SP - 851

EP - 854

JO - MATCH Communications in Mathematical and in Computer Chemistry

JF - MATCH Communications in Mathematical and in Computer Chemistry

IS - 3

ER -