Welcome to Professor Bijan Taeri

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Office : Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran Email : b.taeri@iut.ac.ir Phone : +98 31 33913611 Fax : +98 31 33912602 Web Site : Bijan Taeri

In childhood we strove to go to school -- Our turn to teach, joyous as a rule
The end of the story is sad and cruel -- From dust we came, and gone with winds cool
************************** (Omar Khayyám) *************************

Research Fields : Algebra, Group Theory, Discrete structures

Algebraic combinatorics

Applications of Algebra

Teaching

Recent Publications

Basic concept of matrices and linear algebra

Characterization of finite groups with a unique non-nilpotent proper subgroup, Int. J. Group Theory 10 (2021), no. 1, 47-53. (with F. Tayanloo-Beyg)

Extremal Zagreb indices of graphs of order n with p pendent vertices, MATCH Commun. Math. Comput. Chem. 86 (2021) 17-28. (with M. Enteshari)

Finite groups with three nonabelian subgroups, Turkish J. Math. 45 (2021), no. 6, 2393-2405. (with F. Tayanloo-Beyg)

Some results on the join graph of finite groups, Int. J. Group Theory 10 (2021), no. 4, 175-186. (with Z. Bahrami)

Acentralizers of Abelian groups of rank 2, Hacet. J. Math. Stat. 49 (2020), no. 1, 273-281. (with Z. Mozafar)

Finite non-nilpotent groups with two conjugacy classes of non-normal non-cyclic subgroups, Publ. Math. Debrecen 96 (2020), no. 3-4, 459-474. (with R. Brandl, and Z. Rezazadeh)

Finite groups with K5-free prime graphs, Comm. Algebra, 47 (2019), no. 7, 2577-2630. (with Z. Akhlaghi and Kh. Khedri)

Finite groups with a unique non-abelian proper subgroup, J. Algebra Appl. 18 (2019), no. 11, 1950210, 13 pp. (with F. Tayanloo-Beyg)

Further results on the join graph of a finite group, Turkish J. Math. 43 (2019), no. 5, 2097-2113. (with Z. Bahrami)

Finite groups admitting a connected cubic integral bi-Cayley graph, Algebraic Structures and Their Applications (5) 2 (2018) pp 35-43. (with M. Arezoomand)

Characterization of A5 and SL(25) by the number of conjugacy classes of non-cyclic subgroups, Comm. Algebra, 11 (2017) 4605-4609. (with M. Rezazadeh)

NSE characterization of some linear groups. Bull. Iranian Math. Soc. 43 (2017), no. 5, 1531-1542. (with N. Ahanjideh and L. Mousavi)

Finite BCI-groups are solvable, Int. J. Group Theory 5 (2016), no. 2, 1-6. (with M. Arezoomand)

A charaterization of L_2(81) by NSE, Int. J. Group Theory 5 (2016), no. 1, 29-35. (with L. Mousavi)

Planarity of the intersection graph of subgroups of a finite group, J. Algebra Appl. 15 (2016), no. 3, 1650040, 19 pp. (with M. Ahmadi)

On integral Cayley sum graphs, Indian J. Pure Appl. Math. 47 (2016), no. 4, 583-601. (with M. Amooshahi)

Which elements of a finite group are non-vanishing, Bull. Iranian Math. Soc. 42 (2016), no. 5, 1097-1106. (with M. Arezoomand

On Cayley Sum Graphs of Non-Abelian Groups, Graphs Combin. 32 (2016), no. 1, 17-29. (with M. Amooshahi)

Finite groups with regular join graph of subgroups, J. Algebra Appl. 15 (2016), no. 9, 1650170, 10 pp. (with M. Ahmadi)

Normality of 2-Cayley digraphs, Discrete Math. 338 (2015), no. 3, 41-47. (with M. Arezoomand)

Isomorphisms of Finite Semi-Cayley Graphs, Acta Math. Sin. (Engl. Ser.) 31 (2015), no. 4, 715-730. (with M. Arezoomand)

A classification of finite groups with integral bi-Cayley graphs, Trans. Comb. 4 (2015), no. 4, 55-61. (with M. Arezoomand)

Cayley sum color and anti-circulant graphs, Linear Algebra Appl. 466 (2015), 409-420. (with M. Amooshahi)

On the Domination and Total Domination Numbers of Cayley Sum Graphs over Z_n, Kragujevac Journal of Mathematics, 38 (2014), no 2. 315-320. (with M. Amooshahi)

On the planarity of a graph related to the join of subgroups of a finite group, Bull. Iranian Math. Soc. 40 (2014), no. 6, 1413-1431. (with M. Ahmadi)

On Szeged polynomial of graphs with even number of vertices, Ars Combin. 117 (2014) 147-153. (with M. Eliasi)

On the Domination and Total Domination Numbers of Cayley Sum Graphs over Z_n, Kragujevac Journal of Mathematics, 38 (2014), no 2. 315-320. (with M. Amooshahi)

On the planarity of a graph related to the join of subgroups of a finite group, Bull. Iranian Math. Soc. 40 (2014), no. 6, 1413-1431. (with M. Ahmadi)

On the Wiener index of rooted product of graphs Ars Combin, 111 (2013) 257-264 (with A. Heydari)

Zagreb Indices of Generalized Hierarchical Product of Graphs, 140 (2013) 131-140. (with M. Arezoomand)

On the characteristic polynomial of n-Cayley digraphs, The Electronic J. Combin. 20(3) (2013), #P57 (with A. Arezoomand)

Mathematics for engineers and scientists

An operation based on complete graphs with an application to the line graphs of trees, Ars Combin., CVII 275-288 (with A. Heydari)

Wiener index some graph operations, Discrete Appl. Math. 160 , 1333-1344.(with M. Eliasi, G. Raeisi)

A new method for computing the Wiener index of polyhex nanotorus, J. Comp. Thoer. NanoSci. 8(1) , 2350-2355. (with M. Arezoomand)

Some new relations between Wiener, hyper-Wiener, first and second Zagreb indices, MATCH Commun. Math. Comput. Chem. 65(1) , 27-32 (with A. Behtoei and M. Jannesari)

Generalization of topological Indices, MATCH Commun. Math. Comput. Chem. 65(1) , 71-78. (with A. Behtoei and M. Jannesari)

On a Graph Associated to Groups, Bull. Malaysian Math. Soc. (Second Series) 34(3) , 553-560. (with M. Mashkouri)

On the Distance-based topological indices of polyhex nanotori, MATCH Commun. Math. Comput. Chem. 65(1) , 241-248. (with M. Arezoomand)

Cycles and bipartite graph on conjugacy class of groups, Rend. Sem. Mat. Univ. Padova. 123 , 233-247.

On the characteristic and Laplacian polynomials of trees, Linear Algebra and its Applications, 432 , 661-669 (with A. Heydari)

A characterization of block graphs, Discrete Appl. Math. 158 , 219-221 (with A. Behtoei and M. Jannesari)

Applications of generalized hierarchical product of graphs in computing the Szeged index of chemical graphs, MATCH Commun. Math. Comput. Chem. 64(3) , 951-602. (with M. Arezoomand)

Four new sums of graphs and their Wiener indices, Disc. Appl. Math. 157 , 794-803. (with M. Eliasi)

The Schultz polynomial of zigzag polyhex nanotubes, Asian J. Chem. 21 (2) , 931-941. (with M. Eliasi)

Full Non-Rigid Group of Di-mu-oxo-bis (tetraamine manganese(II)) as a Wreath Product, MATCH Commun. Math. Comput. Chem. 62 , 275-284. (with M. Arezoomand)

Characterization of 3-rewritable finite nilpotent groups, Comm. Algebra 37 , 894-922.

Maximum Zagreb index, minimum hyper-Wiener index and graph connectivity, Applied Mathematics Letters 22 , 1571-1576. (with A. Behtoei and M. Jannesari)

The Full Non-rigid Group Theory of cis-tetraamminedichlorocobalt (III), Asian J. Chem. 21 (2) , 869-878.(with M. Arezoomand)

A mathematical model for TUC4C8(S) nanotubes and their symmetry groups, J. Geom. Phys. 59 , 1168-1174. (with M. Arezoomand)

Quadratic residue codes over Z9, J. Korean Math. Soc. 46 (1) , 13-30.

On finite groups with some conditions on subsets, Bull. Malays. Math. Sci. Soc. 32 (1) , 63-73.

Full non-rigid group of 2,3 ,5, 6-Tetramethylepyrazine as wreath product, J. Appl. Math. & Informatics 27 , 3-4, 915 - 931. (with M. Arezoomand)

The full symmetry and irreducible representations of nanotori, Acta Cryst. A65 , 249-252. (with M. Arezoomand)

Szeged index of TUC4C8(S) Nanotubes, European J. Combin. 30 , 1134-1141. (with A. Heydari)

Distance in Zigzag Polyhex Nanotubes, Current NanoScience, 5(4) , 514-518 (with M. Eliasi)

Distance in Armchair Polyhex Nanotubes, MATCH Commun. Math. Comput. Chem. 62 , 295-310. (with M. Eliasi)

An operation based on complete graphs with an application to the line graphs of trees, (with A. Heydari) To appear in Ars Combinatoria

Extension of the Wiener index and Wiener polynomial, Appl. Math. Lett. 21 , 916-921. (with M. Eliasi)

Schultz polynomials of composite graphs, Appl. Anal. Discrete Math. 2 , 258-296. (with M. Eliasi)

On characteristic polynomial of special class of graphs and spectra of balanced trees, Linear Algebra Appl. 429 , 1744-1757.(with A. Heydari)

A Textbook of Graph Theory

Szeged index of armchair polyhex nanotubes, MATCH Commun. Math. Comput.Chem. 437-450 59(2) . (with M. Eliasi)

On finite groups with two irreducible character degrees, Bull. Iranian Math. Soc.34 (2) (2008) 39-47. (with A. Heydari)

Hyper Wiener index of TUC4C8(R) nanotubes, J. Comp. Thoer. NanoSci. 5(11) , 2275-2279. (with A. Heydari)

Distance in zigzag polyhex nanotorus, J. Theor. Comput. Chem. 7 (5) , 1029-1039. (with M. Eliasi)

The Full non-rigid Group Theory for TBA (Tert-Butyl Alcohol), J. Iranian Chem.Soc. 5 (3) , 514-518. (with M. Arezoomand)

Hyper Wiener index of zigzag polyhex nanotubes, ANZIAM J. 50 , 75-86. (with M. Eliasi)

Hosoya Polynomial of zigzag polyhex nanotorus, J. Serbian Chem. Soc. 73(3) , 311-319 (JSCS-3713). (with M. Eliasi)

Cyclic codes of length p^e over Zp2 , Zp3 , International J. Pure and Appl. Math. Sci.4 (2) .

Szeged index of TUC4C8(R) nanotubes, MATCH Commun. Math. Comput. Chem.57(1) , 463-477. (with A. Heydari)

Calculus Laboratories with MATHEMATICA

Wiener and Schultz indices of TUC4C8(S) nanotubes, MATCH Commun. Math.Comput. Chem. 57(2) , 665-676. (with A. Heydari)

Balaban index of zigzag polyhex nanotorus, J. Comp. Thoer. NanoSci. 4(6) , 1174-1178 (with M. Eliasi)

M. Eliasi, B. Taeri, Szeged and Balaban indices of zigzag polyhex nanotubes, 21-22 February 2007, 1st Conference of Nanotechnology in Environment, Isfahan, pp 129-145.

Hyper Wiener index of zigzag polyhex nanotorus, Ars Combinatoria 85 , 307-318. (with M. Eliasi)

A. Heydari, B. Taeri, Wiener and Schultz indices of C4C8 nanotubes, 21-22 February 2007, 1st Conference of Nanotechnology in Environment, Isfahan, pp 146-162.

Schultz index of zigzag polyhex nanotubes, Utilitas Mathematica 74 , 55-64. (with M. Eliasi)

Wiener and Schultz indices of TUC4C8(R) nanotubes, J. Comp. Thoer. NanoSci.4(1) , 158-167. (with A. Heydari)

M. Eliasi, B. Taeri, Recent results on topological indices of nanotubes, 10-12 April 2007, First Sharjah, International Conference on Nanotechnology and its applications, Sharjah, pp 243-249.

On a permutablity problem for groups, J. Appl. Math. & Computing. 20 , No. 1-2, 75-96.

On Finite Groups with exactly seven element centralizers, J. Appl. Math. &Computing. 22 , No. 1-2, 403-410. (with A. Ashrafi)

Szeged and Balaban indices of zigzag polyhex nanotubes, MATCH Commun. Math. Comput. Chem. 56(2) 383-402. (with M. Eliasi)

On finite groups with a certain number of centralizers, J. Appl. Math. & Computing. 17 , No. 1-2, 217-227 (with A. Ashrafi)

A. Ashrafi, B. Taeri, Classification of finite groups by the number of element centralizers, 30-6 July 2005, August Groups St Andrews pp 148-157.

On a class of finitely generated soluble groups, 19-20 July 2003, 11th Algebra Seminar Gulian University, pp 107-123.

On a combinatorial problem in group theory, Southeast Asian Bull. Math. 26 , 1029-1039.

The Foundations of Algebra (Including Mathematical Laboratory, GAP)

On a class of residually finite group, Bull. Malaysian Math. Soc. (Second Series) 26 , 209-219.

On a class of infinite rings, Algebra Colloq. 8:2 , 153-157. (with A. Abdollahi)

An n-Rewritability criterion for infinite groups, Comm. Algebra. 29(4) , 571-1581. (with A.Abdollahi, A. Mohammadi Hassanabadi)

A combinatorial condition on certain variety of groups, Arch. Math. 77 (2001) 456-460.

A question of Paul Erdos and nilpotent-by-finite groups, Bull. Aus. Math. Soc. 64 , 245-254.

Engineering Mathematics

A. Abdollahi, B. Taeri, A combinatorial condition on infinite rings, 27-30 August 2000, 31th Iranian Mathematics Conference, Tehran, pp 23-27.

A condition on certain variety of groups, Rend. Sem. Mat. Univ. Padova Vol.104 , 129-134. (with A. Abdollahi)

A property equivalent to n-permutability, J. Algebra 221 (1999) 570-578. (with A. Abdollahi, A. Mohammadi Hassanabadi)

A property equivalent to n-permutability, J. Algebra 221 (1999) 570-578. (with A. Abdollahi, A. Mohammadi Hassanabadi)

A condition on finitely generated soluble groups, Comm. Algebra 27 No. 11, 5633-5638. (with A. Abdollahi)

Differential Equations (Including Mathematical Laboratory, MATHEMATICA and MAPLE)

Some conditions on infinite subsets of infinite groups, Bull. Malaysian Math. Soc.(Second Series) 22 , 87-93. (with A. Abdollahi)

B. Taeri, FC-groups with a condition on infinite subsets, 27-29 October, 1999, 11th Seminar on Algebra, Isfahan, Iran, pp 272-278.

A. Abdollahi, B. Taeri, A combinatorial condition on infinnite subsets of infinite groups, 27-29 October, 1999, 11th Seminar on Algebra, Isfahan, Iran, pp 1-10.

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