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bgsu1150909908.pdf (3.53 MB)
ETD Abstract Container
Abstract Header
The Face Consistency and Embeddability of Fullerenes
Author Info
Puharic, Douglas
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1150909908
Abstract Details
Year and Degree
2006, Doctor of Philosophy (Ph.D.), Bowling Green State University, Mathematics/Mathematics (Pure).
Abstract
A fullerene is a carbon molecule where each carbon atom is chemically bonded to three other carbon atoms and the atoms form pentagonal and hexagonal rings and this molecule can be viewed as a finite connected trivalent plane graph, all of whose faces are pentagons and hexagons. Some research has focused on the graph theoretical properties of fullerenes and in some cases trying to determine a relationship between a graph theoretical property and chemical properties of the molecule. In this research we will focus on the graph theoretical property of a graph being l
1
-embeddable and discuss the face consistency of a particular class of fullerenes. This class is the hexagonal orange peel fullerenes with the symmetry group D
6h
and the pentagonal orange peel fullerenes with the symmetry groups D
5h
or I.
Committee
Sergey Shpectorov (Advisor)
Keywords
pentagons
;
crooked zones
;
FULLERENES
;
crooked
;
Zones
;
Poval
;
elementary zones
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Citations
Puharic, D. (2006).
The Face Consistency and Embeddability of Fullerenes
[Doctoral dissertation, Bowling Green State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1150909908
APA Style (7th edition)
Puharic, Douglas.
The Face Consistency and Embeddability of Fullerenes.
2006. Bowling Green State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1150909908.
MLA Style (8th edition)
Puharic, Douglas. "The Face Consistency and Embeddability of Fullerenes." Doctoral dissertation, Bowling Green State University, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1150909908
Chicago Manual of Style (17th edition)
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Document number:
bgsu1150909908
Download Count:
835
Copyright Info
© 2006, all rights reserved.
This open access ETD is published by Bowling Green State University and OhioLINK.