# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 50 Publications since 1966, including 2 Books
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#### Co-Authors

 8 single-authored 10 Chartrand, Gary Theodore 6 Alavi, Yousef 5 Radjavi, Heydar 4 Ebrahimi, Alireza 4 Mahmoodian, Ebadollah S. 3 Behzad, Arash 3 Heydari, Mahdi 3 Nordhaus, Edward Alfred 2 Lesniak, Linda M. 2 Lick, Don R. 2 Meghdari, Ali 2 Praeger, Cheryl Elisabeth 2 Salarieh, Hassan 2 Simpson, James E. 1 Akbari, Saieed 1 Alasty, Aria 1 Cooper, John K. jun. 1 Erdős, Pál 1 Hajiabolhassan, Hossein 1 Harary, Frank 1 Hatami, Pooya 1 Liu, Jiuqiang 1 Mahmoodian, A. A. 1 Mahmoodian, S. E. 1 Mehri, Bahman 1 Moradi, Hamed 1 Movahhedy, Mohammad R. 1 Shahmohamad, Hossein 1 Vossoughi, Gholamreza 1 Wall, Curtiss E. 1 Zhu, Biwen
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#### Serials

 3 Discrete Mathematics 2 Journal of Combinatorial Theory. Series B 2 Proceedings of the American Mathematical Society 2 Bulletin of the Institute of Combinatorics and its Applications 2 Journal of the London Mathematical Society 1 American Mathematical Monthly 1 Archives of Mechanics 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Canadian Mathematical Bulletin 1 Fundamenta Mathematicae 1 Indian Journal of Mathematics 1 Journal of Combinatorics, Information & System Sciences 1 Journal of Graph Theory 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Portugaliae Mathematica 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Studia Scientiarum Mathematicarum Hungarica 1 Graphs and Combinatorics 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 Applied Mathematical Modelling 1 Elemente der Mathematik 1 SIAM Journal on Applied Mathematics 1 Journal of Vibration and Control 1 Proceedings of the Cambridge Philosophical Society 1 Rivista di Matematica della Universitá di Parma, II. Serie 1 International Journal of Engineering 1 Scientia Iranica. Transaction B: Mechanical Engineering
all top 5

#### Fields

 24 Combinatorics (05-XX) 5 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH

35 Publications have been cited 539 times in 460 Documents Cited by Year
Graphs & digraphs. Zbl 0403.05027
Behzad, Mehdi; Chartrand, Gary; Lesniak-Foster, Linda
1979
Introduction to the theory of graphs. Zbl 0238.05101
1971
The colour numbers of complete graphs. Zbl 0152.41203
Behzad, M.; Chartrand, G.; Cooper, J. K. jun.
1967
An introduction to total graphs. Zbl 0177.52403
1967
Complementary graphs and edge chromatic numbers. Zbl 0217.30904
1971
Total matchings and total coverings of graphs. Zbl 0376.05045
Alavi, Y.; Behzad, M.; Lesniak-Foster, Linda M.; Nordhaus, E. A.
1977
On minimal regular digraphs with given girth. Zbl 0203.26502
Behzad, M.; Chartrand, G.; Wall, C. E.
1970
On the domination number of the generalized Petersen graphs. Zbl 1131.05065
2008
Line-coloring of signed graphs. Zbl 0175.50302
1969
Chaos synchronization in noisy environment using nonlinear filtering and sliding mode control. Zbl 1148.37022
Behzad, Mehdi; Salarieh, Hassan; Alasty, Aria
2008
The total chromatic number of a graph: a survey. Zbl 0221.05062
1971
No graph is perfect. Zbl 0179.52701
1967
A criterion for the planarity of the total graph of a graph. Zbl 0158.20703
1967
Eccentric sequences and eccentric sets in graphs. Zbl 0364.05034
1976
On topological invariants of the product of graphs. Zbl 0177.52402
1969
The connectivity of total graphs. Zbl 0174.26801
1969
The total group of a graph. Zbl 0175.20805
1968
Total graphs and traversability. Zbl 0148.17903
1966
Structure of regular total graphs. Zbl 0167.52104
1969
A characterization of total graphs. Zbl 0203.56802
1970
Stochastic chaos synchronization using unscented Kalman-Bucy filter and sliding mode control. Zbl 1220.65179
Heydari, Mahdi; Salarieh, Hassan; Behzad, Mehdi
2011
Graphs versus designs—a quasisurvey. Zbl 0840.05096
1991
Double vertex graphs. Zbl 0764.05077
Alavi, Yousef; Behzad, Mehdi; Erdős, Paul; Lick, Don R.
1991
Minimal 2-regular digraphs with given girth. Zbl 0255.05113
1973
Which directed graphs have a solution? Zbl 0368.05027
1977
Minimum vertex covers in the generalized Petersen graphs $$P(n,2)$$. Zbl 1175.05099
Behzad, Mehdi; Hatami, Pooya; Mahmoodian, E. S.
2009
Triangles in line-graphs and total graphs. Zbl 0177.52501
Behzad, M.; Chartrand, G.; Nordhaus, E. A.
1968
Uniquely total colorable graphs. Zbl 0897.05038
Akbari, S.; Behzad, M.; Hajiabolhassan, H.; Mahmoodian, E. S.
1997
Continuous model for flexural vibration analysis of a Timoshenko cracked beam. Zbl 1291.74092
Heydari, M.; Ebrahimi, A.; Behzad, M.
2013
A continuous vibration theory for beams with a vertical edge crack. Zbl 1197.74062
Ebrahimi, A.; Behzad, M.; Meghdari, A.
2010
Planarity of double vertex graphs. Zbl 0763.05036
Alavi, Y.; Behzad, M.; Simpson, J. E.
1991
Total concepts in graph theory. Zbl 0641.05052
1987
The degree preserving group of a graph. Zbl 0233.05115
1970
The line-chromatic polynomial of a graph. Zbl 0201.26102
1968
The line analog of Ramsey numbers. Zbl 0148.17901
1967
Continuous model for flexural vibration analysis of a Timoshenko cracked beam. Zbl 1291.74092
Heydari, M.; Ebrahimi, A.; Behzad, M.
2013
Stochastic chaos synchronization using unscented Kalman-Bucy filter and sliding mode control. Zbl 1220.65179
Heydari, Mahdi; Salarieh, Hassan; Behzad, Mehdi
2011
A continuous vibration theory for beams with a vertical edge crack. Zbl 1197.74062
Ebrahimi, A.; Behzad, M.; Meghdari, A.
2010
Minimum vertex covers in the generalized Petersen graphs $$P(n,2)$$. Zbl 1175.05099
Behzad, Mehdi; Hatami, Pooya; Mahmoodian, E. S.
2009
On the domination number of the generalized Petersen graphs. Zbl 1131.05065
2008
Chaos synchronization in noisy environment using nonlinear filtering and sliding mode control. Zbl 1148.37022
Behzad, Mehdi; Salarieh, Hassan; Alasty, Aria
2008
Uniquely total colorable graphs. Zbl 0897.05038
Akbari, S.; Behzad, M.; Hajiabolhassan, H.; Mahmoodian, E. S.
1997
Graphs versus designs—a quasisurvey. Zbl 0840.05096
1991
Double vertex graphs. Zbl 0764.05077
Alavi, Yousef; Behzad, Mehdi; Erdős, Paul; Lick, Don R.
1991
Planarity of double vertex graphs. Zbl 0763.05036
Alavi, Y.; Behzad, M.; Simpson, J. E.
1991
Total concepts in graph theory. Zbl 0641.05052
1987
Graphs & digraphs. Zbl 0403.05027
Behzad, Mehdi; Chartrand, Gary; Lesniak-Foster, Linda
1979
Total matchings and total coverings of graphs. Zbl 0376.05045
Alavi, Y.; Behzad, M.; Lesniak-Foster, Linda M.; Nordhaus, E. A.
1977
Which directed graphs have a solution? Zbl 0368.05027
1977
Eccentric sequences and eccentric sets in graphs. Zbl 0364.05034
1976
Minimal 2-regular digraphs with given girth. Zbl 0255.05113
1973
Introduction to the theory of graphs. Zbl 0238.05101
1971
Complementary graphs and edge chromatic numbers. Zbl 0217.30904
1971
The total chromatic number of a graph: a survey. Zbl 0221.05062
1971
On minimal regular digraphs with given girth. Zbl 0203.26502
Behzad, M.; Chartrand, G.; Wall, C. E.
1970
A characterization of total graphs. Zbl 0203.56802
1970
The degree preserving group of a graph. Zbl 0233.05115
1970
Line-coloring of signed graphs. Zbl 0175.50302
1969
On topological invariants of the product of graphs. Zbl 0177.52402
1969
The connectivity of total graphs. Zbl 0174.26801
1969
Structure of regular total graphs. Zbl 0167.52104
1969
The total group of a graph. Zbl 0175.20805
1968
Triangles in line-graphs and total graphs. Zbl 0177.52501
Behzad, M.; Chartrand, G.; Nordhaus, E. A.
1968
The line-chromatic polynomial of a graph. Zbl 0201.26102
1968
The colour numbers of complete graphs. Zbl 0152.41203
Behzad, M.; Chartrand, G.; Cooper, J. K. jun.
1967
An introduction to total graphs. Zbl 0177.52403
1967
No graph is perfect. Zbl 0179.52701
1967
A criterion for the planarity of the total graph of a graph. Zbl 0158.20703
1967
The line analog of Ramsey numbers. Zbl 0148.17901
1967
Total graphs and traversability. Zbl 0148.17903
1966
all top 5

#### Cited by 622 Authors

 25 Nebeský, Ladislav 12 Behzad, Mehdi 9 Chartrand, Gary Theodore 8 Erdős, Pál 8 Faudree, Ralph Jasper jun. 8 Hendry, George R. T. 8 Koh, Khee Meng 7 Rousseau, Cecil C. 7 Schelp, Richard Herbert 7 Sinha, Deepa 6 Acharya, Mukti 6 Hilton, Anthony J. W. 6 Hobbs, Arthur M. 5 Plesník, Ján 5 Poh, K. S. 5 Salarieh, Hassan 5 Zhang, Zhongfu 4 Alavi, Yousef 4 Campos, C. N. 4 Picinin de Mello, Célia 4 Fink, John Frederick 4 Fu, Hunglin 4 Johnson, Ralph H. 4 Kang, Liying 4 Kano, Mikio 4 Mahmoodian, Ebadollah S. 4 Oellermann, Ortrud R. 3 Ando, Kiyoshi 3 Brigham, Robert C. 3 Chen, Borliang 3 Dantas, Simone 3 de Figueiredo, Celina M. Herrera 3 Dhama, Ayushi 3 Dutton, Ronald D. 3 Foregger, Marsha F. 3 Gould, Ronald J. 3 Harminc, Matúš 3 Hedetniemi, Stephen Travis 3 Jacobson, Michael Scott 3 Kostochka, Aleksandr Vasil’evich 3 Lesniak, Linda M. 3 Ngô Dać Tâń 3 Peng, Yee-Hock 3 Radjavi, Heydar 3 Ringeisen, Richard D. 3 Saito, Akira 3 Sánchez-Arroyo, Abdón 3 Sasaki, Diana 3 Sato, Iwao 3 Schmeichel, Edward F. 3 Tripathi, Amitabha 3 Xu, Guangjun 2 Aguilar, Cesar O. 2 Ahangar, Hossein Abdollahzadeh 2 Akiyama, Jin 2 Alasty, Aria 2 Asgharsharghi, Leila 2 Bar-Noy, Amotz 2 Bauer, Douglas 2 Beineke, Lowell W. 2 Berman, Kenneth A. 2 Bollobás, Béla 2 Borodin, Oleg Veniaminovich 2 Broere, Izak 2 Broersma, Hajo J. 2 Burr, Stefan A. 2 Chang, Gerard Jennhwa 2 Cheng, Eddie 2 Chew, Kim Ho 2 Chiang, Nam-Po 2 Chithra, Kaithavalappil 2 Cowling, Peter I. 2 Cvetkovic, Dragos M. 2 Enomoto, Hikoe 2 Escalante, Fernando 2 Geoffroy, Dennis P. 2 Germina, K. A. 2 Gimbel, John G. 2 Godsil, Christopher David 2 Hamada, Takashi 2 Hamidoune, Yahya Ould 2 Harary, Frank 2 Hare, Donovan R. 2 Haynes, Teresa W. 2 Heydari, Mahdi 2 Hind, Hugh R. 2 Holton, Derek Allan 2 Howorka, Edward 2 Hsu, Lihhsing 2 Huang, Kuo-Ching 2 Hutchinson, Joan P. 2 Johnson, Peter D. jun. 2 Kapoor, S. F. 2 Kaveh, Ali 2 Kazemi, Adel P. 2 Kelly, Luke J. 2 Klein, Cerry M. 2 Kühn, Daniela 2 Lau, Gee-Chon 2 Leanos, Jesus ...and 522 more Authors
all top 5

#### Cited in 103 Serials

 139 Discrete Mathematics 38 Journal of Combinatorial Theory. Series B 31 Czechoslovak Mathematical Journal 25 Discrete Applied Mathematics 18 Graphs and Combinatorics 17 Mathematica Slovaca 8 Linear Algebra and its Applications 7 Information Processing Letters 7 Theoretical Computer Science 7 European Journal of Combinatorics 7 Discussiones Mathematicae. Graph Theory 6 Periodica Mathematica Hungarica 6 Discrete Mathematics, Algorithms and Applications 5 Chaos, Solitons and Fractals 4 Bulletin of the Australian Mathematical Society 4 Applied Mathematics and Computation 4 Journal of Discrete Mathematical Sciences & Cryptography 3 Information Sciences 3 Journal of Graph Theory 3 Mathematics and Computers in Simulation 3 Applied Mathematics Letters 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Computers & Mathematics with Applications 2 Fuzzy Sets and Systems 2 Journal of Combinatorial Theory. Series A 2 Journal of Computer and System Sciences 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 SIAM Journal on Algebraic and Discrete Methods 2 Operations Research Letters 2 Mathematical and Computer Modelling 2 SIAM Journal on Discrete Mathematics 2 Science in China. Series A 2 Aequationes Mathematicae 2 Applied Mathematical Modelling 2 European Journal of Operational Research 2 International Journal of Computer Mathematics 2 Computational and Applied Mathematics 2 Journal of Combinatorial Optimization 2 Discrete Dynamics in Nature and Society 2 Discrete Optimization 2 Asian-European Journal of Mathematics 2 ISRN Discrete Mathematics 1 Artificial Intelligence 1 Computer Methods in Applied Mechanics and Engineering 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Mathematics of Computation 1 Advances in Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of Geometry 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Kybernetika 1 Kyungpook Mathematical Journal 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Theory and Decision 1 Mathematical Social Sciences 1 Combinatorica 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Symbolic Computation 1 Journal of Computer Science and Technology 1 Journal of the American Mathematical Society 1 Queueing Systems 1 Annals of Operations Research 1 Discrete Event Dynamic Systems 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Applied Mathematics. Series B (English Edition) 1 Communications in Numerical Methods in Engineering 1 Turkish Journal of Mathematics 1 Complexity 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Mathematical Chemistry 1 Journal of Vibration and Control 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Chaos 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 CEJOR. Central European Journal of Operations Research 1 Journal of the Australian Mathematical Society 1 Journal of Discrete Algorithms 1 Journal of the Indonesian Mathematical Society 1 African Diaspora Journal of Mathematics 1 Journal of Biological Dynamics 1 Journal of Mathematics and the Arts 1 European Journal of Pure and Applied Mathematics 1 Ars Mathematica Contemporanea 1 Journal of Theoretical Biology 1 Transactions on Combinatorics ...and 3 more Serials
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#### Cited in 28 Fields

 400 Combinatorics (05-XX) 34 Computer science (68-XX) 18 Operations research, mathematical programming (90-XX) 13 Systems theory; control (93-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Information and communication theory, circuits (94-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Group theory and generalizations (20-XX) 7 Ordinary differential equations (34-XX) 7 Numerical analysis (65-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Probability theory and stochastic processes (60-XX) 5 Biology and other natural sciences (92-XX) 3 Mathematical logic and foundations (03-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX)

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