×
Compute Distance To:
Author ID: vijayakumar.ambat Recent zbMATH articles by "Vijayakumar, Ambat"
Published as: Vijayakumar, A.; Vijayakumar, Ambat; Vijaykumar, A.; Vijaya Kumar, A.
Documents Indexed: 87 Publications since 1980, including 1 Book
6 Contributions as Editor
Reviewing Activity: 15 Reviews
Co-Authors: 38 Co-Authors with 65 Joint Publications
1,385 Co-Co-Authors
all top 5

Serials

6 AKCE International Journal of Graphs and Combinatorics
5 Discrete Mathematics
4 Indian Journal of Pure & Applied Mathematics
4 Discussiones Mathematicae. Graph Theory
3 Stochastic Analysis and Applications
3 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
3 Bulletin of the Institute of Combinatorics and its Applications
3 MATCH - Communications in Mathematical and in Computer Chemistry
3 Asian-European Journal of Mathematics
3 Discrete Mathematics, Algorithms and Applications
2 Journal of Mathematical and Physical Sciences
2 Utilitas Mathematica
2 Mathematical and Computer Modelling
2 Annals of Operations Research
2 Mathematica Bohemica
2 Communications in Statistics. Theory and Methods
2 International Journal of Operational Research
2 Applicable Analysis and Discrete Mathematics
2 Electronic Journal of Graph Theory and Applications
1 Bulletin of the Australian Mathematical Society
1 Discrete Applied Mathematics
1 Ars Combinatoria
1 Collectanea Mathematica
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Indian Journal of Mathematics
1 Information Sciences
1 Opsearch
1 Portugaliae Mathematica
1 Graphs and Combinatorics
1 Asia-Pacific Journal of Operational Research
1 International Journal of Information and Management Sciences
1 Applied Mathematical Modelling
1 Linear Algebra and its Applications
1 The Journal of Fuzzy Mathematics
1 Journal of Mathematical Chemistry
1 Journal of Combinatorial Optimization
1 Discrete Mathematics and Theoretical Computer Science. DMTCS
1 Journal of Discrete Mathematical Sciences & Cryptography
1 International Journal of Pure and Applied Mathematics
1 Journal of Applied Mathematics and Computing
1 Lecture Notes in Computer Science
1 Ramanujan Mathematical Society Lecture Notes Series
1 Electronic Notes in Discrete Mathematics
1 Malaya Journal of Matematik
1 The Art of Discrete and Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 247 times in 205 Documents Cited by Year
On distance energy of graphs. Zbl 1199.05226
Indulal, Gopalapillai; Gutman, Ivan; Vijayakumar, Ambat
65
2008
Complement of a fuzzy graph. Zbl 1013.05081
Sunitha, M. S.; Vijaya Kumar, A.
43
2002
The M/G/1 retrial queue with feedback and starting failures. Zbl 1018.60088
Kumar, B. Krishna; Madheswari, S. Pavai; Vijayakumar, A.
39
2002
An \(M/G/1\) retrial queueing system with two-phase service and preemptive resume. Zbl 1013.90032
Kumar, B. Krishna; Vijayakumar, A.; Arivudainambi, D.
35
2002
On a pair of equienergetic graphs. Zbl 1106.05061
Indulal, G.; Vijayakumar, A.
23
2006
A characterization of fuzzy trees. Zbl 0935.05084
Sunitha, M. S.; Vijayakumar, A.
19
1999
The \(M^X/G/1\) retrial queue with Bernoulli schedules and general retrial times. Zbl 1165.60345
Kumar, B. Krishna; Arivudainambi, D.; Vijayakumar, A.
10
2002
The domination game on split graphs. Zbl 1419.91153
James, Tijo; Klavžar, Sandi; Vijayakumar, Ambat
10
2019
Blocks in fuzzy graphs. Zbl 1065.05093
Sunitha, M. S.; Vijayakumar, A.
9
2005
Power domination in honeycomb networks. Zbl 1287.94132
Ferrero, Daniela; Varghese, Seema; Vijayakumar, A.
8
2011
Gallai and anti-Gallai graphs of a graph. Zbl 1174.05116
Lakshmanan S., Aparna; Rao, S. B.; Vijayakumar, A.
8
2007
A note on energy of some graphs. Zbl 1164.05040
Indual, G.; Vijayakumar, A.
8
2008
An \(M/G/1/1\) queue with unreliable server and no waiting capacity. Zbl 1004.90023
Krishna Kumar, B.; Arivudainambi, D.; Vijayakumar, A.
8
2002
Some new integral graphs. Zbl 1199.05225
Indulal, G.; Vijayakumar, A.
8
2007
Distance energy change of complete bipartite graph due to edge deletion. Zbl 1391.05179
Varghese, Anu; So, Wasin; Vijayakumar, A.
8
2018
The gamma graph of a graph. Zbl 1223.05212
Lahshmanan, S. Aparna; Vijayakumar, A.
8
2010
Transient analysis for state-dependent queues with catastrophes. Zbl 1153.60394
Kumar, B. Krishna; Vijayakumar, A.; Sophia, S.
7
2008
On the power domination number of graph products. Zbl 1444.05111
Varghese, Seethu; Vijayakumar, A.
5
2016
Power domination in Knödel graphs and Hanoi graphs. Zbl 1377.05147
Varghese, Seethu; Vijayakumar, A.; Hinz, Andreas M.
5
2018
Energies of some non-regular graphs. Zbl 1220.05074
Indulal, G.; Vijayakumar, A.
4
2007
On the median and the antimedian of a cograph. Zbl 1171.05014
Rao, S. B.; Vijayakumar, A.
4
2008
The \(\langle t \rangle \)-property of some classes of graphs. Zbl 1200.05191
Lakshmanan, S. Aparna; Vijayakumar, A.
4
2009
Equienergetic self-complementary graphs. Zbl 1174.05077
Indulal, G.; Vijayakumar, A.
4
2008
The median problem on \(k\)-partite graphs. Zbl 1317.05043
Pravas, Karuvachery; Vijayakumar, Ambat
4
2015
Some metric aspects of fuzzy graphs. Zbl 0957.05101
Sunitha, M. S.; Vijayakumar, A.
4
1999
On semi-Markov compartmental models with branching particles under the influence of disasters. Zbl 0917.60081
Vijayakumar, A.; Kumar, B. Krishna; Thilaka, B.
3
1998
Further progress on the heredity of the game domination number. Zbl 1496.05112
James, Tijo; Dorbec, Paul; Vijayakumar, Ambat
3
2017
Steiner Wiener index of block graphs. Zbl 1468.05059
Kovše, Matjaž; Rasila, V. A.; Vijayakumar, Ambat
3
2020
The diameter variability of the Cartesian product of graphs. Zbl 1286.05037
Chithra, M. R.; Vijayakumar, A.
3
2014
Convex median and anti-median at prescribed distance. Zbl 1371.90135
Pravas, K.; Vijayakumar, A.
3
2017
Heredity for generalized power domination. Zbl 1400.05172
Dorbec, Paul; Varghese, Seethu; Vijayakumar, Ambat
3
2016
On split graphs with four distinct eigenvalues. Zbl 1435.05128
Goldberg, Felix; Kirkland, Steve; Varghese, Anu; Vijayakumar, Ambat
3
2020
Clique irreducibility of some iterative classes of graphs. Zbl 1156.05045
Lakshmanan S., Aparna; Vijaykumar, A.
2
2008
Containers and wide diameters of \(P_3(G)\). Zbl 1274.05255
Ferrero, Daniela; Menon, Manju K.; Vijayakumar, A.
2
2012
Multitype branching processes with disasters. I: The number of particles in the system. Zbl 0991.60074
Thilaka, B.; Kumar, B. Krishna; Vijayakumar, A.
2
1998
Some diameter notions of Fibonacci cubes. Zbl 1441.05066
Savitha, K. S.; Vijayakumar, A.
2
2020
Some characterization theorems for the discrete holometric space. Zbl 0668.51011
Vijayakumar, A.
1
1987
Forwarding indices and bisection width of Sierpiński graphs. Zbl 1345.05096
Savitha, K. S.; Vijayakumar, A.
1
2016
The edge \(C_4\) graph of a graph. Zbl 1202.05116
Menon, Manju K.; Vijayakumar, A.
1
2008
Stochastic analysis of an n-unit repairable system with slow switch. Zbl 0548.60085
Vijayakumar, A.; Gopalan, M. N.; Radhakrishnan, R.
1
1984
On weakly clique irreducible graphs. Zbl 1200.05190
Lakshmanan S., Aparna; Vijayakumar, A.
1
2010
About triangles in a graph and its complement. Zbl 0807.05039
Nair, B. Radhakrishnan; Vijayakumar, A.
1
1994
Some network topological notions of the Mycielskian of a graph. Zbl 1346.05047
Savitha, K. S.; Vijayakumar, A.
1
2016
Transient analysis of a Markovian queue with chain sequence rates and total catastrophes. Zbl 1169.90345
Kumar, B. Krishna; Vijayakumar, A.; Sophia, S.
1
2009
Multitype branching processes with disasters. II: Total sojourn time and number of deaths. Zbl 0991.60075
Kumar, B. Krishna; Vijayakumar, A.; Thilaka, B.
1
1998
Stochastic processes and their applications. Zbl 0998.60502
Vijaykumar, A.; Sreenivasan, M.
1
1999
S-antipodal graphs. Zbl 0879.05024
Nair, Radhakrishnan B.; Vijayakumar, A.
1
1997
The median problem on symmetric bipartite graphs. Zbl 1496.05042
Pravas, K.; Vijayakumar, A.
1
2017
Some diameter notions of the generalized Mycielskian of a graph. Zbl 1496.05043
Savitha, K. S.; Chithra, M. R.; Vijayakumar, A.
1
2017
Stationary solution to a tandem fluid queue with input controlled by exponential timer. Zbl 1362.90149
Vijayakumar, A.; Sophia, S.
1
2013
Generalized power domination in WK-pyramid networks. Zbl 1368.05115
Varghese, Seethu; Vijayakumar, A.
1
2016
The diameter variability of the product graphs. Zbl 1383.05075
Chithra, M. R.; Vijayakumar, A.
1
2017
Steiner Wiener index of block graphs. Zbl 1468.05059
Kovše, Matjaž; Rasila, V. A.; Vijayakumar, Ambat
3
2020
On split graphs with four distinct eigenvalues. Zbl 1435.05128
Goldberg, Felix; Kirkland, Steve; Varghese, Anu; Vijayakumar, Ambat
3
2020
Some diameter notions of Fibonacci cubes. Zbl 1441.05066
Savitha, K. S.; Vijayakumar, A.
2
2020
The domination game on split graphs. Zbl 1419.91153
James, Tijo; Klavžar, Sandi; Vijayakumar, Ambat
10
2019
Distance energy change of complete bipartite graph due to edge deletion. Zbl 1391.05179
Varghese, Anu; So, Wasin; Vijayakumar, A.
8
2018
Power domination in Knödel graphs and Hanoi graphs. Zbl 1377.05147
Varghese, Seethu; Vijayakumar, A.; Hinz, Andreas M.
5
2018
Further progress on the heredity of the game domination number. Zbl 1496.05112
James, Tijo; Dorbec, Paul; Vijayakumar, Ambat
3
2017
Convex median and anti-median at prescribed distance. Zbl 1371.90135
Pravas, K.; Vijayakumar, A.
3
2017
The median problem on symmetric bipartite graphs. Zbl 1496.05042
Pravas, K.; Vijayakumar, A.
1
2017
Some diameter notions of the generalized Mycielskian of a graph. Zbl 1496.05043
Savitha, K. S.; Chithra, M. R.; Vijayakumar, A.
1
2017
The diameter variability of the product graphs. Zbl 1383.05075
Chithra, M. R.; Vijayakumar, A.
1
2017
On the power domination number of graph products. Zbl 1444.05111
Varghese, Seethu; Vijayakumar, A.
5
2016
Heredity for generalized power domination. Zbl 1400.05172
Dorbec, Paul; Varghese, Seethu; Vijayakumar, Ambat
3
2016
Forwarding indices and bisection width of Sierpiński graphs. Zbl 1345.05096
Savitha, K. S.; Vijayakumar, A.
1
2016
Some network topological notions of the Mycielskian of a graph. Zbl 1346.05047
Savitha, K. S.; Vijayakumar, A.
1
2016
Generalized power domination in WK-pyramid networks. Zbl 1368.05115
Varghese, Seethu; Vijayakumar, A.
1
2016
The median problem on \(k\)-partite graphs. Zbl 1317.05043
Pravas, Karuvachery; Vijayakumar, Ambat
4
2015
The diameter variability of the Cartesian product of graphs. Zbl 1286.05037
Chithra, M. R.; Vijayakumar, A.
3
2014
Stationary solution to a tandem fluid queue with input controlled by exponential timer. Zbl 1362.90149
Vijayakumar, A.; Sophia, S.
1
2013
Containers and wide diameters of \(P_3(G)\). Zbl 1274.05255
Ferrero, Daniela; Menon, Manju K.; Vijayakumar, A.
2
2012
Power domination in honeycomb networks. Zbl 1287.94132
Ferrero, Daniela; Varghese, Seema; Vijayakumar, A.
8
2011
The gamma graph of a graph. Zbl 1223.05212
Lahshmanan, S. Aparna; Vijayakumar, A.
8
2010
On weakly clique irreducible graphs. Zbl 1200.05190
Lakshmanan S., Aparna; Vijayakumar, A.
1
2010
The \(\langle t \rangle \)-property of some classes of graphs. Zbl 1200.05191
Lakshmanan, S. Aparna; Vijayakumar, A.
4
2009
Transient analysis of a Markovian queue with chain sequence rates and total catastrophes. Zbl 1169.90345
Kumar, B. Krishna; Vijayakumar, A.; Sophia, S.
1
2009
On distance energy of graphs. Zbl 1199.05226
Indulal, Gopalapillai; Gutman, Ivan; Vijayakumar, Ambat
65
2008
A note on energy of some graphs. Zbl 1164.05040
Indual, G.; Vijayakumar, A.
8
2008
Transient analysis for state-dependent queues with catastrophes. Zbl 1153.60394
Kumar, B. Krishna; Vijayakumar, A.; Sophia, S.
7
2008
On the median and the antimedian of a cograph. Zbl 1171.05014
Rao, S. B.; Vijayakumar, A.
4
2008
Equienergetic self-complementary graphs. Zbl 1174.05077
Indulal, G.; Vijayakumar, A.
4
2008
Clique irreducibility of some iterative classes of graphs. Zbl 1156.05045
Lakshmanan S., Aparna; Vijaykumar, A.
2
2008
The edge \(C_4\) graph of a graph. Zbl 1202.05116
Menon, Manju K.; Vijayakumar, A.
1
2008
Gallai and anti-Gallai graphs of a graph. Zbl 1174.05116
Lakshmanan S., Aparna; Rao, S. B.; Vijayakumar, A.
8
2007
Some new integral graphs. Zbl 1199.05225
Indulal, G.; Vijayakumar, A.
8
2007
Energies of some non-regular graphs. Zbl 1220.05074
Indulal, G.; Vijayakumar, A.
4
2007
On a pair of equienergetic graphs. Zbl 1106.05061
Indulal, G.; Vijayakumar, A.
23
2006
Blocks in fuzzy graphs. Zbl 1065.05093
Sunitha, M. S.; Vijayakumar, A.
9
2005
Complement of a fuzzy graph. Zbl 1013.05081
Sunitha, M. S.; Vijaya Kumar, A.
43
2002
The M/G/1 retrial queue with feedback and starting failures. Zbl 1018.60088
Kumar, B. Krishna; Madheswari, S. Pavai; Vijayakumar, A.
39
2002
An \(M/G/1\) retrial queueing system with two-phase service and preemptive resume. Zbl 1013.90032
Kumar, B. Krishna; Vijayakumar, A.; Arivudainambi, D.
35
2002
The \(M^X/G/1\) retrial queue with Bernoulli schedules and general retrial times. Zbl 1165.60345
Kumar, B. Krishna; Arivudainambi, D.; Vijayakumar, A.
10
2002
An \(M/G/1/1\) queue with unreliable server and no waiting capacity. Zbl 1004.90023
Krishna Kumar, B.; Arivudainambi, D.; Vijayakumar, A.
8
2002
A characterization of fuzzy trees. Zbl 0935.05084
Sunitha, M. S.; Vijayakumar, A.
19
1999
Some metric aspects of fuzzy graphs. Zbl 0957.05101
Sunitha, M. S.; Vijayakumar, A.
4
1999
Stochastic processes and their applications. Zbl 0998.60502
Vijaykumar, A.; Sreenivasan, M.
1
1999
On semi-Markov compartmental models with branching particles under the influence of disasters. Zbl 0917.60081
Vijayakumar, A.; Kumar, B. Krishna; Thilaka, B.
3
1998
Multitype branching processes with disasters. I: The number of particles in the system. Zbl 0991.60074
Thilaka, B.; Kumar, B. Krishna; Vijayakumar, A.
2
1998
Multitype branching processes with disasters. II: Total sojourn time and number of deaths. Zbl 0991.60075
Kumar, B. Krishna; Vijayakumar, A.; Thilaka, B.
1
1998
S-antipodal graphs. Zbl 0879.05024
Nair, Radhakrishnan B.; Vijayakumar, A.
1
1997
About triangles in a graph and its complement. Zbl 0807.05039
Nair, B. Radhakrishnan; Vijayakumar, A.
1
1994
Some characterization theorems for the discrete holometric space. Zbl 0668.51011
Vijayakumar, A.
1
1987
Stochastic analysis of an n-unit repairable system with slow switch. Zbl 0548.60085
Vijayakumar, A.; Gopalan, M. N.; Radhakrishnan, R.
1
1984
all top 5

Cited by 338 Authors

15 Vijayakumar, Ambat
13 Akram, Muhammad
11 Iršič, Vesna
10 Baghipur, Maryam
10 Klavžar, Sandi
10 Mathew Karakkad, Sunil
9 Bujtás, Csilla
8 Alhevaz, Abdollah
8 Rashmanlou, Hossein
6 Gutman, Ivan M.
6 Mordeson, John N.
5 Borzooei, Rajab Ali
5 Ganie, Hilal Ahmad
5 Pal, Madhumangal
5 Pirzada, Shariefuddin
5 Ramane, Harishchandra S.
4 Ghorai, Ganesh
4 Indulal, Gopalapillai
3 Borumand Saeid, Arsham
3 Das, Kinkar Chandra
3 Hashemi, Ebrahim
3 Hinz, Andreas M.
3 Li, Xueliang
3 Paul, Somnath
3 Pravas, Karuvachery
3 Rajesh Kanna, M. R.
3 Rasila, V. A.
3 Rojo, Oscar L.
3 Sitara, Muzzamal
3 Stevanović, Dragan
3 Sunitha, M. S.
3 Talebi, Ali Asghar
3 Varghese, Seethu
2 Bhutani, Kiran R.
2 Brešar, Boštjan
2 Chandrasekar, K. Raja
2 Changat, Manoj
2 Chithra, M. R.
2 Cui, Shuyu
2 Díaz, Roberto C.
2 Dudek, Wiesław Aleksander
2 Egecioglu, Omer
2 Furtula, Boris
2 Gong, Shicai
2 Henning, Michael Anthony
2 Híc, Pavel
2 Ilić, Aleksandar
2 Kovše, Matjaž
2 Kumar, R. Pradeep
2 Kureethara, Joseph Varghese
2 Lakshmanan S., Aparna
2 Li, Shuchao
2 Lu, Lu
2 M, Binu
2 Mofidnakhaei, Farshid
2 Mynhardt, Christina Magdalena
2 Palathingal, Jeepamol J.
2 Pokorný, Milan
2 Rajasingh, Indra
2 Rather, Bilal Ahmad
2 Reddy, P. Siva Kota
2 Robbiano, María
2 Rosenfeld, Azriel
2 Samanta, Sovan
2 Savitha, K. S.
2 Shan, Erfang
2 Siddalingaswamy, V. M.
2 So, Wasin
2 Soner, Nandappa D.
2 Sridhara, G.
2 Subhamathi, Ajitha R.
2 Sun, Shaowei
2 Tian, Guixian
2 Tuza, Zsolt
2 Ul Shaban, Rezwan
2 Wang, Wenhuan
2 Xu, Guanghui
2 Xu, Kexiang
2 Zhou, Bo
1 Abdullah, Lazim
1 Abebe Ashebo, Mamo
1 Abu-Qamar, Majdoleen
1 Adiga, Chandrashekara
1 Ahmadi, Mohammad Bagher
1 Akhoundi, Maryam
1 Al-Abdli, A. Al-Raqeeb A.
1 Al-Hawary, Talal Ali
1 Al-Masarwah, Anas Mohammad
1 Alex, Liju
1 Alhevaz, Abdolla
1 Ali, Shanookha
1 Alizadeh, Yaser
1 Almallah, R.
1 Alshehri, Noura Omair
1 Ameri, Reza
1 Anand, Pranav
1 Andelić, Milica
1 Anderson, Sarah E.
1 Andrade Martins, Enide
1 Anitha, J.
...and 238 more Authors
all top 5

Cited in 75 Serials

17 Linear Algebra and its Applications
11 Discrete Applied Mathematics
10 Journal of Intelligent and Fuzzy Systems
9 Discrete Mathematics
9 Discrete Mathematics, Algorithms and Applications
8 Applied Mathematics and Computation
8 Information Sciences
8 Asian-European Journal of Mathematics
7 AKCE International Journal of Graphs and Combinatorics
5 Discussiones Mathematicae. Graph Theory
5 Electronic Journal of Graph Theory and Applications
4 Fuzzy Sets and Systems
4 Journal of the Indonesian Mathematical Society
4 New Mathematics and Natural Computation
4 International Journal of Applied and Computational Mathematics
3 Applied Mathematics Letters
3 Journal of Applied Mathematics and Computing
3 South East Asian Journal of Mathematics and Mathematical Sciences
3 Afrika Matematika
2 Indian Journal of Pure & Applied Mathematics
2 Le Matematiche
2 European Journal of Combinatorics
2 Aequationes Mathematicae
2 Computational and Applied Mathematics
2 Opuscula Mathematica
2 Journal of Combinatorial Optimization
2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
2 Journal of Multiple-Valued Logic and Soft Computing
2 Applicable Analysis and Discrete Mathematics
2 Advances in Fuzzy Systems
2 Transactions on Combinatorics
2 Journal of Mathematics
2 Special Matrices
2 Applied Mathematics and Nonlinear Sciences
2 Communications in Combinatorics and Optimization
2 Ural Mathematical Journal
1 Computers & Mathematics with Applications
1 Linear and Multilinear Algebra
1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
1 Czechoslovak Mathematical Journal
1 Journal of Combinatorial Theory. Series B
1 Quaestiones Mathematicae
1 Graphs and Combinatorics
1 New Zealand Journal of Mathematics
1 Applied Mathematics. Series B (English Edition)
1 Filomat
1 The Electronic Journal of Combinatorics
1 Journal of Mathematical Chemistry
1 Mathematical Problems in Engineering
1 Soft Computing
1 Journal of Inequalities and Applications
1 Journal of Graph Algorithms and Applications
1 Annals of Combinatorics
1 Discrete Dynamics in Nature and Society
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Communications in Nonlinear Science and Numerical Simulation
1 Fundamenta Informaticae
1 Applied Stochastic Models in Business and Industry
1 Annales Mathematicae Silesianae
1 Kragujevac Journal of Mathematics
1 Journal of Applied Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Iranian Journal of Fuzzy Systems
1 Mathematical Biosciences and Engineering
1 Proyecciones
1 Advances and Applications in Discrete Mathematics
1 Acta Universitatis Sapientiae. Mathematica
1 Algorithms
1 Advances in Mathematical Physics
1 Journal of Applied Mathematics & Informatics
1 Journal of Mathematical Research with Applications
1 Palestine Journal of Mathematics
1 Open Mathematics
1 DML. Discrete Mathematics Letters

Citations by Year