Chemistry Reference
In-Depth Information
Khalifeh MH, Yousefi-Azari H, Ashrafi AR (2009) The first and second Zagreb indices of some
graph operations. Discret Appl Math 157:804-811
Khodashenas H, Nadjafi-Arani MJ, Ashrafi AR, Gutman I (2011) A new proof of the Szeged-Wiener
theorem. Kragujev J Math 35:165-172
Klarner DA (1997) Polyominoes. In: Goodman JE, O'Rourke J (eds) Handbook of discrete and
computational geometry, CRC Press, Boca Raton, pp 225-242 (Chaper 12)
Klavžar S (2007) On the PI index: PI-partitions and Cartesian product graphs. MATCH Commun
Math Comput Chem 57:573-586
Klavžar S, Rajapakse A, Gutman I (1996) The Szeged and the Wiener index of graphs. Appl Math
Lett 9:45-49
Manoochehrian B,Yousefi-Azari H, Ashrafi AR (2008) Szeged index of a zig-zag polyhex nanotube.
Ars Combin 86:371-379
Randic M (1974) On the recognition of identical graphs representing molecular topology. J Chem
Phys 60:3920-3928
Randic M (1975) On characterization of molecular branching. J Am Chem Soc 97:6609-6615
Randic M (1976) On discerning symmetry properties of graphs. Chem Phys Lett 42:283-287
Saheli M, Ashrafi AR (2010a) The eccentric connectivity index of zig-zag polyhex nanotubes and
nanotori. J Comput Theor Nanosci 7:1900-1903
Saheli M, Ashrafi AR (2010b) The eccentric connectivity index of armchair polyhex nanotubes.
Maced J Chem Chem Eng 29:71-75
Sardana S, Madan AK (2001) Application of graph theory: relationship of molecular connectivity
index, Wiener's index and eccentric connectivity index with diuretic activity. MATCH Commun
Math Comput Chem 43:85-98
Sharma V, Goswami R, Madan AK (1997) Eccentric connectivity index: a novel highly discrim-
inating topological descriptor for structure-property and structure-activity studies. J Chem Inf
Comput Sci 37:273-282
Staic MD, Petrescu-Nita A (2013) Symmetry group of two special types of carbon nanotori. Acta
Cryst A 69:1-5
The GAP Team (1995) GAP, groups, algorithms and programming. Lehrstuhl De für Mathematik,
RWTH, Aachen
Trinajstic N (1992) Chemical graph theory. CRC Press, Boca Raton
Wiener H (1947) Structural determination of paraffin boiling points. J Am Chem Soc 69:17-20
Yavari M, Ashrafi AR (2009) On the symmetry of a zig-zag and an armchair polyhex carbon
nanotorus. Symmetry 1:145-152
Yousefi S, Ashrafi AR (2006) An exact expression for the Wiener index a polyhex nanotoruse.
MATCH Commun Math Comput Chem 56:169-178
Yousefi S, Ashrafi AR (2007) An exact expression for the Wiener index of a TUC
4
C
8
(R) nanotorus.
J Math Chem 42:1031-1039
Yousefi S, Ashrafi, AR (2008a) Distance matrix and wiener index of armchair polyhex nanotubes.
Stud Univ Babes-Bolyai Chem 53:111-116
Yousefi S, Ashrafi AR (2008b) An algorithm for constructing Wiener matrix of TUC
4
C
8
(R)
nanotubes. Curr Nanosci 4:161-165
Yousefi S, Ashrafi AR (2011) 3-dimensional distance matrix of a TC
4
C
8
(R) nanotoruse. MATCH
Commun Math Comput Chem 65:249-254
Yousefi S, Yousefi-Azari H, Khalifeh MH, Ashrafi AR (2008c) Computing distance matrix and
related topological indices of an achiral polyhex nanotube. Int J Chem Mod 1:149-156
Yousefi S, Yousefi-Azari H, Ashrafi AR, Khalifeh MH (2008d) Computing Wiener and Szeged
indices of a polyhex Nanotorus. J Sci Univ Tehran 33:7-11
Yousefi-Azari H, Ashrafi AR, Khalifeh MH (2008e) Computing vertex-PI index of single and
multiwalled nanotubes. Dig J Nanomat Bios 3:315-318
Zhou B (2004) Zagreb indices. MATCH Commun Math Comput Chem 52:113-118
Zhou B, Gutman I (2005) Further properties of Zagreb indices. MATCH Commun Math Comput
Chem 54:233-239
