# zbMATH — the first resource for mathematics

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 Documents Indexed: 160 Publications since 2006 Reviewing Activity: 1 Review
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#### Serials

 16 Discrete Applied Mathematics 15 The Australasian Journal of Combinatorics 13 Discussiones Mathematicae. Graph Theory 12 Utilitas Mathematica 11 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 9 Graphs and Combinatorics 7 Discrete Mathematics, Algorithms and Applications 6 Computer Science Journal of Moldova 5 Ars Combinatoria 5 AKCE International Journal of Graphs and Combinatorics 4 Bulletin of the Institute of Combinatorics and its Applications 3 Discrete Mathematics 3 Canadian Mathematical Bulletin 3 Opuscula Mathematica 3 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică 2 Theoretical Computer Science 2 Journal of Combinatorial Optimization 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Applied Mathematics E-Notes 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 International Mathematical Forum 2 Communications in Combinatorics and Optimization 1 Journal of Complexity 1 YUJOR. Yugoslav Journal of Operations Research 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Publikacije Elektrotehničkog Fakulteta. Serija: Matematika 1 Filomat 1 The Electronic Journal of Combinatorics 1 Analele Universităţii din Oradea. Fascicola Matematică 1 Italian Journal of Pure and Applied Mathematics 1 Acta Mathematica Sinica. English Series 1 RAIRO. Operations Research 1 Quasigroups and Related Systems 1 Discussiones Mathematicae. General Algebra and Applications 1 Scientia Iranica 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mathematical Reports 1 Acta Universitatis Apulensis. Mathematics - Informatics 1 International Journal of Contemporary Mathematical Sciences 1 Applied Mathematical Sciences (Ruse) 1 International Electronic Journal of Algebra (IEJA) 1 International Journal of Mathematical Combinatorics 1 Asian-European Journal of Mathematics 1 Malaysian Journal of Mathematical Sciences 1 Journal of Mathematical Research with Applications 1 Transactions on Combinatorics 1 Romanian Journal of Mathematics and Computer Science 1 Journal of Mathematics 1 Electronic Journal of Graph Theory and Applications
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#### Fields

 159 Combinatorics (05-XX) 10 Computer science (68-XX) 4 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

90 Publications have been cited 327 times in 204 Documents Cited by Year
Bounds on the 2-rainbow domination number of graphs. Zbl 1268.05154
2013
Locating-total domination in graphs. Zbl 1246.05119
2012
Properties of independent Roman domination in graphs. Zbl 1251.05116
2012
On 2-rainbow domination and roman domination in graphs. Zbl 1278.05168
2013
Some progress on the double Roman domination in graphs. Zbl 1401.05224
2019
Roman domination perfect graphs. Zbl 1313.05284
2011
Locating-total domination critical graphs. Zbl 1207.05137
2009
A note on total reinforcement in graphs. Zbl 1231.05203
2011
On total domination vertex critical graphs of high connectivity. Zbl 1197.05107
2009
Changing and unchanging the roman domination number of graph. Zbl 1273.05162
2012
Strong equality between the Roman domination and independent Roman domination numbers in trees. Zbl 1293.05258
2013
Critical concept for 2-rainbow domination in graphs. Zbl 1284.05198
2011
A note on the independent Roman domination in unicyclic graphs. Zbl 1259.05127
2012
On the diameter of a domination dot-critical graph. Zbl 1182.05066
2009
Planarity of intersection graphs of ideals of rings. Zbl 1250.13007
2010
On an open problem concerning total domination critical graphs. Zbl 1119.05081
2007
Total $$k$$-rainbow domination numbers in graphs. Zbl 1384.05120
2018
Bounds on neighborhood total domination in graphs. Zbl 1285.05139
2013
Vertex and edge critical Roman domination in graphs. Zbl 1293.05264
2013
On the Roman domination stable graphs. Zbl 1375.05196
2017
On 2-step and hop dominating sets in graphs. Zbl 1371.05215
2017
On the Roman bondage number of planar graphs. Zbl 1235.05105
2011
Roman bondage in graphs. Zbl 1255.05137
2011
On the total domination critical graphs. Zbl 1202.05102
2006
Geodetic domination in graphs. Zbl 1238.05072
2011
Domination stability in graphs. Zbl 1334.05105
2016
On domination in zero-divisor graphs. Zbl 1264.13011
2013
On domination and its forcing in Mycielski’s graphs. Zbl 1194.05118
Mojdeh, D. A.; Rad, N. Jafari
2008
Independent 2-rainbow domination in graphs. Zbl 1335.05128
2015
Bounds on the locating Roman domination number in trees. Zbl 1377.05143
2018
Unique response Roman domination in graphs. Zbl 1225.05196
Targhi, E. Ebrahimi; Rad, N. Jafari; Volkmann, L.
2011
Fair domination number in cactus graphs. Zbl 1404.05151
2019
Bounds for independent Roman domination in graphs. Zbl 1247.05154
Targhi, E. Ebrahimi; Rad, N. Jafari; Mynhardt, C. M.; Wu, Y.
2012
Strong equality between the 2-rainbow domination and independent 2-rainbow domination numbers in trees. Zbl 1339.05276
2016
Total restrained bondage in graphs. Zbl 1283.05208
2013
Graphs with large total 2-rainbow domination number. Zbl 1397.05122
2018
Some progress on total bondage in graphs. Zbl 1291.05149
2014
On open neighborhood locating-dominating in graphs. Zbl 1306.05178
2014
A note on the intersection graph of subspaces of a vector space. Zbl 1413.05317
2016
Domination in the intersection graphs of rings and modules. Zbl 1239.13014
2011
Some results on roman domination edge critical graphs. Zbl 1257.05113
2012
Roman reinforcement in graphs. Zbl 1219.05131
Rad, N. Jafari; Sheikholeslami, S. M.
2011
A note on the independent domination number in graphs. Zbl 1287.05107
2013
Characterization of Roman domination critical unicyclic graphs. Zbl 1264.05092
Hansberg, A.; Jafari Rad, N.; Volkmann, L.
2011
Trees with unique Roman dominating functions of minimum weight. Zbl 1298.05244
2014
Tetracyclic graphs with maximal Estrada index. Zbl 1373.05110
2017
A note on the locating-total domination in trees. Zbl 1375.05203
2016
On the complexity of some bondage problems in graphs. Zbl 1375.05202
2017
On the complexity of reinforcement in graphs. Zbl 1350.05126
2016
Some remarks on global total domination in graphs. Zbl 1333.05212
2015
A remark on total domination critical graphs. Zbl 1154.05049
Rad, N. Jafari; Sharebaf, S. Rahimi
2008
Domination in circulant graphs. Zbl 1249.05293
2009
On $$\alpha$$-total domination in graphs. Zbl 1242.05204
2012
Pentacyclic graphs with maximal Estrada index. Zbl 1424.05184
2017
Bounds on the fair total domination number in trees and unicyclic graphs. Zbl 1419.05168
2019
Rainbow edge domination numbers in graphs. Zbl 1427.05154
2019
Total domination dot-critical graphs. Zbl 1203.05118
2011
Results on total restrained domination in graphs. Zbl 1172.05339
2008
On $$4-\gamma_t$$-critical graphs of order $$4+\Delta(G)$$. Zbl 1169.05362
2008
A note on Roman domination in graphs. Zbl 1242.05210
2010
Characterization of total restrained domination edge critical unicyclic graphs. Zbl 1218.05115
2010
A new lower bound on the double domination number of a graph. Zbl 1404.05152
2019
A characterization of double Roman trees. Zbl 1407.05179
2019
Open alliance in graphs. Zbl 1216.05106
2010
Connected geodomination in graphs. Zbl 1093.05051
2006
A generalization of roman domination critical graphs. Zbl 1271.05074
2012
Edge-removal and edge-addition in $$\alpha$$-domination. Zbl 1338.05203
2016
Various bounds for liar’s domination number. Zbl 1339.05274
2016
A note on the global offensive alliances in graphs. Zbl 1398.05153
2018
On domination of zero-divisor graphs of matrix rings. Zbl 1312.05107
2015
Roman domination critical graphs upon edge subdivision. Zbl 1326.05113
2015
Roman domination stable graphs upon edge-addition. Zbl 1322.05104
2015
NP-hardness of multiple bondage in graphs. Zbl 1319.05099
2015
Some notes on the isolate domination in graphs. Zbl 1372.05163
2017
On the complexity of strong and weak total domination in graphs. Zbl 1344.05110
2016
Total restrained reinforcement in graphs. Zbl 1346.05219
2016
Trees with independent Roman domination number twice the independent domination number. Zbl 1331.05167
2015
Bounds on global total domination in graphs. Zbl 1390.05169
2015
On 3-$$\gamma_t$$-vertex critical graphs of diameter three. Zbl 1239.05135
2012
Vertex-removal in $$K$$-domination. Zbl 1289.05359
2012
Trees with strong equality between the roman domination number and the unique response Roman domination number. Zbl 1278.05172
2012
Domination critical graphs upon edge subdivision. Zbl 1296.05154
2013
On $$k$$-independence critical graphs. Zbl 1256.05162
2012
On $$\alpha$$-domination in graphs. Zbl 1390.05161
2018
A new lower bound on the domination number of a graph. Zbl 1440.05160
2019
A note on the Italian domination number and double Roman domination number in graphs. Zbl 1428.05233
2019
On domination, 2-domination, and Italian domination numbers. Zbl 1427.05159
2019
On generalized topological indices of silicon-carbon. Zbl 1448.92396
2020
On the $$k$$-domination, $$k$$-tuple domination and Roman $$k$$-domination numbers in graphs. Zbl 1452.05129
2019
Trees and unicyclic graphs with large fair domination number. Zbl 1452.05121
2019
On generalized topological indices of silicon-carbon. Zbl 1448.92396
2020
Some progress on the double Roman domination in graphs. Zbl 1401.05224
2019
Fair domination number in cactus graphs. Zbl 1404.05151
2019
Bounds on the fair total domination number in trees and unicyclic graphs. Zbl 1419.05168
2019
Rainbow edge domination numbers in graphs. Zbl 1427.05154
2019
A new lower bound on the double domination number of a graph. Zbl 1404.05152
2019
A characterization of double Roman trees. Zbl 1407.05179
2019
A new lower bound on the domination number of a graph. Zbl 1440.05160
2019
A note on the Italian domination number and double Roman domination number in graphs. Zbl 1428.05233
2019
On domination, 2-domination, and Italian domination numbers. Zbl 1427.05159
2019
On the $$k$$-domination, $$k$$-tuple domination and Roman $$k$$-domination numbers in graphs. Zbl 1452.05129
2019
Trees and unicyclic graphs with large fair domination number. Zbl 1452.05121
2019
Total $$k$$-rainbow domination numbers in graphs. Zbl 1384.05120
2018
Bounds on the locating Roman domination number in trees. Zbl 1377.05143
2018
Graphs with large total 2-rainbow domination number. Zbl 1397.05122
2018
A note on the global offensive alliances in graphs. Zbl 1398.05153
2018
On $$\alpha$$-domination in graphs. Zbl 1390.05161
2018
On the Roman domination stable graphs. Zbl 1375.05196
2017
On 2-step and hop dominating sets in graphs. Zbl 1371.05215
2017
Tetracyclic graphs with maximal Estrada index. Zbl 1373.05110
2017
On the complexity of some bondage problems in graphs. Zbl 1375.05202
2017
Pentacyclic graphs with maximal Estrada index. Zbl 1424.05184
2017
Some notes on the isolate domination in graphs. Zbl 1372.05163
2017
Domination stability in graphs. Zbl 1334.05105
2016
Strong equality between the 2-rainbow domination and independent 2-rainbow domination numbers in trees. Zbl 1339.05276
2016
A note on the intersection graph of subspaces of a vector space. Zbl 1413.05317
2016
A note on the locating-total domination in trees. Zbl 1375.05203
2016
On the complexity of reinforcement in graphs. Zbl 1350.05126
2016
Edge-removal and edge-addition in $$\alpha$$-domination. Zbl 1338.05203
2016
Various bounds for liar’s domination number. Zbl 1339.05274
2016
On the complexity of strong and weak total domination in graphs. Zbl 1344.05110
2016
Total restrained reinforcement in graphs. Zbl 1346.05219
2016
Independent 2-rainbow domination in graphs. Zbl 1335.05128
2015
Some remarks on global total domination in graphs. Zbl 1333.05212
2015
On domination of zero-divisor graphs of matrix rings. Zbl 1312.05107
2015
Roman domination critical graphs upon edge subdivision. Zbl 1326.05113
2015
Roman domination stable graphs upon edge-addition. Zbl 1322.05104
2015
NP-hardness of multiple bondage in graphs. Zbl 1319.05099
2015
Trees with independent Roman domination number twice the independent domination number. Zbl 1331.05167
2015
Bounds on global total domination in graphs. Zbl 1390.05169
2015
Some progress on total bondage in graphs. Zbl 1291.05149
2014
On open neighborhood locating-dominating in graphs. Zbl 1306.05178
2014
Trees with unique Roman dominating functions of minimum weight. Zbl 1298.05244
2014
Bounds on the 2-rainbow domination number of graphs. Zbl 1268.05154
2013
On 2-rainbow domination and roman domination in graphs. Zbl 1278.05168
2013
Strong equality between the Roman domination and independent Roman domination numbers in trees. Zbl 1293.05258
2013
Bounds on neighborhood total domination in graphs. Zbl 1285.05139
2013
Vertex and edge critical Roman domination in graphs. Zbl 1293.05264
2013
On domination in zero-divisor graphs. Zbl 1264.13011
2013
Total restrained bondage in graphs. Zbl 1283.05208
2013
A note on the independent domination number in graphs. Zbl 1287.05107
2013
Domination critical graphs upon edge subdivision. Zbl 1296.05154
2013
Locating-total domination in graphs. Zbl 1246.05119
2012
Properties of independent Roman domination in graphs. Zbl 1251.05116
2012
Changing and unchanging the roman domination number of graph. Zbl 1273.05162
2012
A note on the independent Roman domination in unicyclic graphs. Zbl 1259.05127
2012
Bounds for independent Roman domination in graphs. Zbl 1247.05154
Targhi, E. Ebrahimi; Rad, N. Jafari; Mynhardt, C. M.; Wu, Y.
2012
Some results on roman domination edge critical graphs. Zbl 1257.05113
2012
On $$\alpha$$-total domination in graphs. Zbl 1242.05204
2012
A generalization of roman domination critical graphs. Zbl 1271.05074
2012
On 3-$$\gamma_t$$-vertex critical graphs of diameter three. Zbl 1239.05135
2012
Vertex-removal in $$K$$-domination. Zbl 1289.05359
2012
Trees with strong equality between the roman domination number and the unique response Roman domination number. Zbl 1278.05172
2012
On $$k$$-independence critical graphs. Zbl 1256.05162
2012
Roman domination perfect graphs. Zbl 1313.05284
2011
A note on total reinforcement in graphs. Zbl 1231.05203
2011
Critical concept for 2-rainbow domination in graphs. Zbl 1284.05198
2011
On the Roman bondage number of planar graphs. Zbl 1235.05105
2011
Roman bondage in graphs. Zbl 1255.05137
2011
Geodetic domination in graphs. Zbl 1238.05072
2011
Unique response Roman domination in graphs. Zbl 1225.05196
Targhi, E. Ebrahimi; Rad, N. Jafari; Volkmann, L.
2011
Domination in the intersection graphs of rings and modules. Zbl 1239.13014
2011
Roman reinforcement in graphs. Zbl 1219.05131
Rad, N. Jafari; Sheikholeslami, S. M.
2011
Characterization of Roman domination critical unicyclic graphs. Zbl 1264.05092
Hansberg, A.; Jafari Rad, N.; Volkmann, L.
2011
Total domination dot-critical graphs. Zbl 1203.05118
2011
Planarity of intersection graphs of ideals of rings. Zbl 1250.13007
2010
A note on Roman domination in graphs. Zbl 1242.05210
2010
Characterization of total restrained domination edge critical unicyclic graphs. Zbl 1218.05115
2010
Open alliance in graphs. Zbl 1216.05106
2010
Locating-total domination critical graphs. Zbl 1207.05137
2009
On total domination vertex critical graphs of high connectivity. Zbl 1197.05107
2009
On the diameter of a domination dot-critical graph. Zbl 1182.05066
2009
Domination in circulant graphs. Zbl 1249.05293
2009
On domination and its forcing in Mycielski’s graphs. Zbl 1194.05118
Mojdeh, D. A.; Rad, N. Jafari
2008
A remark on total domination critical graphs. Zbl 1154.05049
Rad, N. Jafari; Sharebaf, S. Rahimi
2008
Results on total restrained domination in graphs. Zbl 1172.05339
2008
On $$4-\gamma_t$$-critical graphs of order $$4+\Delta(G)$$. Zbl 1169.05362
2008
On an open problem concerning total domination critical graphs. Zbl 1119.05081
2007
On the total domination critical graphs. Zbl 1202.05102
2006
Connected geodomination in graphs. Zbl 1093.05051
2006
all top 5