Ahangar, H. Abdollahzadeh; Amjadi, J.; Chellali, M.; Nazari-Moghaddam, S.; Sheikholeslami, S. M. Total 2-rainbow domination numbers of trees. (English) Zbl 07308485 Discuss. Math., Graph Theory 41, No. 2, 345-360 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{H. A. Ahangar} et al., Discuss. Math., Graph Theory 41, No. 2, 345--360 (2021; Zbl 07308485) Full Text: DOI
Claverol, Mercè; García, Alfredo; Hernández, Gregorio; Hernando, Carmen; Maureso, Montserrat; Mora, Mercè; Tejel, Javier Total domination in plane triangulations. (English) Zbl 07299436 Discrete Math. 344, No. 1, Article ID 112179, 14 p. (2021). MSC: 05C69 05C10 PDF BibTeX XML Cite \textit{M. Claverol} et al., Discrete Math. 344, No. 1, Article ID 112179, 14 p. (2021; Zbl 07299436) Full Text: DOI
Brešar, Boštjan; Bujtás, Csilla; Gologranc, Tanja; Klavžar, Sandi; Košmrlj, Gašper; Marc, Tilen; Patkós, Balázs; Tuza, Zsolt; Vizer, Máté On Grundy total domination number in product graphs. (English) Zbl 07282954 Discuss. Math., Graph Theory 41, No. 1, 225-247 (2021). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{B. Brešar} et al., Discuss. Math., Graph Theory 41, No. 1, 225--247 (2021; Zbl 07282954) Full Text: DOI
Cabrera Martínez, Abel; Peterin, Iztok; Yero, Ismael G. Independent transversal total domination versus total domination in trees. (English) Zbl 07282953 Discuss. Math., Graph Theory 41, No. 1, 213-224 (2021). MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{A. Cabrera Martínez} et al., Discuss. Math., Graph Theory 41, No. 1, 213--224 (2021; Zbl 07282953) Full Text: DOI
Sudhahar, P. Arul Paul; Umamaheswari, R. The connected total restrained geodetic domination number of a graph. (English) Zbl 07303978 J. Adv. Math. Stud. 13, No. 3, 350-358 (2020). MSC: 90C35 PDF BibTeX XML Cite \textit{P. A. P. Sudhahar} and \textit{R. Umamaheswari}, J. Adv. Math. Stud. 13, No. 3, 350--358 (2020; Zbl 07303978) Full Text: Link
Mynhardt, C. M.; Ogden, S. E. A. Total Roman domination edge-supercritical and edge-removal-supercritical graphs. (English) Zbl 07283896 Australas. J. Comb. 78, Part 3, 413-433 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{C. M. Mynhardt} and \textit{S. E. A. Ogden}, Australas. J. Comb. 78, Part 3, 413--433 (2020; Zbl 07283896) Full Text: Link
Wang, Tao; Wu, Baoyindureng Domination in transformation graph \(G^{xy^-}\). (English) Zbl 1452.05134 Util. Math. 114, 309-317 (2020). MSC: 05C69 05C82 PDF BibTeX XML Cite \textit{T. Wang} and \textit{B. Wu}, Util. Math. 114, 309--317 (2020; Zbl 1452.05134)
Muthuselvi, A.; Arumugam, S. On majority total domination in graphs. (English) Zbl 1452.05124 Util. Math. 114, 239-247 (2020). MSC: 05C69 05C35 PDF BibTeX XML Cite \textit{A. Muthuselvi} and \textit{S. Arumugam}, Util. Math. 114, 239--247 (2020; Zbl 1452.05124)
Nayaka, S. R.; Alwardi, Anwar; Puttaswamy Transversal total domination in graphs. (English) Zbl 1452.05125 J. Comb. Math. Comb. Comput. 112, 231-240 (2020). MSC: 05C69 05D15 05C50 05C75 PDF BibTeX XML Cite \textit{S. R. Nayaka} et al., J. Comb. Math. Comb. Comput. 112, 231--240 (2020; Zbl 1452.05125)
Khoeilar, Rana; Kheibari, Mahla; Shao, Zehui; Sheikholeslami, Seyed Mahmoud Total \(k\)-rainbow domination subdivision number in graphs. (English) Zbl 07268786 Comput. Sci. J. Mold. 28, No. 2, 152-169 (2020). Reviewer: Doost Ali Mojdeh (Babolsar) MSC: 05C69 05C15 PDF BibTeX XML Cite \textit{R. Khoeilar} et al., Comput. Sci. J. Mold. 28, No. 2, 152--169 (2020; Zbl 07268786) Full Text: Link
Zhou, Zhongwang Signed total \(\{k\}\)-domination number of \({P_2} \times {C_n}\). (Chinese. English summary) Zbl 07266416 Appl. Math., Ser. A (Chin. Ed.) 35, No. 1, 115-120 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{Z. Zhou}, Appl. Math., Ser. A (Chin. Ed.) 35, No. 1, 115--120 (2020; Zbl 07266416) Full Text: DOI
Vemuri, Harish Domination in direct products of complete graphs. (English) Zbl 1447.05161 Discrete Appl. Math. 285, 473-482 (2020). MSC: 05C69 05C76 05C25 PDF BibTeX XML Cite \textit{H. Vemuri}, Discrete Appl. Math. 285, 473--482 (2020; Zbl 1447.05161) Full Text: DOI
Ma, Menghan; Hong, Xia Signed total domination number of two classes of graphs. (Chinese. English summary) Zbl 1449.05202 J. Math., Wuhan Univ. 40, No. 1, 53-60 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{M. Ma} and \textit{X. Hong}, J. Math., Wuhan Univ. 40, No. 1, 53--60 (2020; Zbl 1449.05202) Full Text: DOI
Chen, Xue-Gang; Sohn, Moo Young; Wang, Yu-Feng Total domination number of central trees. (English) Zbl 1446.05069 Bull. Korean Math. Soc. 57, No. 1, 245-250 (2020). Reviewer: Doost Ali Mojdeh (Babolsar) MSC: 05C69 05C35 PDF BibTeX XML Cite \textit{X.-G. Chen} et al., Bull. Korean Math. Soc. 57, No. 1, 245--250 (2020; Zbl 1446.05069) Full Text: DOI
Mojdeh, Doost Ali; Samadi, Babak; Volkmann, Lutz Nordhaus-Gaddum type inequalities for multiple domination and packing parameters in graphs. (English) Zbl 07232879 Contrib. Discrete Math. 15, No. 1, 154-162 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{D. A. Mojdeh} et al., Contrib. Discrete Math. 15, No. 1, 154--162 (2020; Zbl 07232879) Full Text: DOI
Goswami, Jituparna Some domination properties of the total graph of a module with respect to singular submodule. (English) Zbl 1442.05154 Online J. Anal. Comb. 15, Article 3, 10 p. (2020). MSC: 05C69 05C25 13A70 PDF BibTeX XML Cite \textit{J. Goswami}, Online J. Anal. Comb. 15, Article 3, 10 p. (2020; Zbl 1442.05154) Full Text: Link
Yue, Jun; Zhu, Yiping; Wei, Meiqin The annihilation number and the total domination number of a tree-like graph. (English) Zbl 07200811 Appl. Math. Comput. 380, Article ID 125240, 6 p. (2020). MSC: 05C69 05C07 PDF BibTeX XML Cite \textit{J. Yue} et al., Appl. Math. Comput. 380, Article ID 125240, 6 p. (2020; Zbl 07200811) Full Text: DOI
Ghareghani, Narges; Peterin, Iztok; Sharifani, Pouyeh A note on bipartite graphs whose \([1,k]\)-domination number equal to their number of vertices. (English) Zbl 1437.05181 Opusc. Math. 40, No. 3, 375-382 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{N. Ghareghani} et al., Opusc. Math. 40, No. 3, 375--382 (2020; Zbl 1437.05181) Full Text: DOI
Jamil, Ferdinand P.; Malalay, Rolando P. On disjunctive domination in graphs. (English) Zbl 1436.05083 Quaest. Math. 43, No. 2, 149-168 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{F. P. Jamil} and \textit{R. P. Malalay}, Quaest. Math. 43, No. 2, 149--168 (2020; Zbl 1436.05083) Full Text: DOI
Hajian, Majid; Henning, Michael A.; Rad, Nader Jafari A classification of cactus graphs according to their total domination number. (English) Zbl 1434.05110 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1555-1568 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{M. Hajian} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1555--1568 (2020; Zbl 1434.05110) Full Text: DOI
Guo, Jia; Li, Zhuo; Lu, Mei Locating-total domination in grid graphs. (English) Zbl 1434.05109 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1195-1204 (2020). MSC: 05C69 05C76 05C50 15A18 PDF BibTeX XML Cite \textit{J. Guo} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1195--1204 (2020; Zbl 1434.05109) Full Text: DOI
Khoeilar, R.; Shahbazi, L.; Sheikholeslami, S. M.; Shao, Zehui Bounds on the signed total Roman 2-domination in graphs. (English) Zbl 1433.05247 Discrete Math. Algorithms Appl. 12, No. 1, Article ID 2050013, 12 p. (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{R. Khoeilar} et al., Discrete Math. Algorithms Appl. 12, No. 1, Article ID 2050013, 12 p. (2020; Zbl 1433.05247) Full Text: DOI
Shahbazi, L.; Abdollahzadeh Ahangar, H.; Khoeilar, R.; Sheikholeslami, S. M. Signed total double Roman \(k\)-domination in graphs. (English) Zbl 1433.05250 Discrete Math. Algorithms Appl. 12, No. 1, Article ID 2050009, 18 p. (2020). MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{L. Shahbazi} et al., Discrete Math. Algorithms Appl. 12, No. 1, Article ID 2050009, 18 p. (2020; Zbl 1433.05250) Full Text: DOI
Wang, Kun; Ning, Wenjie; Lu, Mei Bounds on the locating-total domination number in trees. (English) Zbl 07148536 Discuss. Math., Graph Theory 40, No. 1, 25-34 (2020). MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{K. Wang} et al., Discuss. Math., Graph Theory 40, No. 1, 25--34 (2020; Zbl 07148536) Full Text: DOI
Mtarneh, S.; Hasni, R.; Akhbari, M. H.; Movahedi, F. Some domination parameters in generalized Jahangir graph \(J_{n,m}\). (English) Zbl 07278916 Malays. J. Math. Sci. 13, Spec. Iss.: Conference on Mathematics, Informatics and Statistics (CMIS2018), 113-121 (2019). MSC: 05C69 05C40 PDF BibTeX XML Cite \textit{S. Mtarneh} et al., Malays. J. Math. Sci. 13, 113--121 (2019; Zbl 07278916) Full Text: Link
Volkmann, L. The signed total Roman domatic number of a digraph. (English) Zbl 1452.05076 J. Comb. Math. Comb. Comput. 110, 205-216 (2019). MSC: 05C20 05C69 PDF BibTeX XML Cite \textit{L. Volkmann}, J. Comb. Math. Comb. Comput. 110, 205--216 (2019; Zbl 1452.05076)
Muthuselvi, A.; Arumugam, S. On majority total domination in graphs. (English) Zbl 1452.05123 Util. Math. 113, 159-168 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{A. Muthuselvi} and \textit{S. Arumugam}, Util. Math. 113, 159--168 (2019; Zbl 1452.05123)
Wang, Tao; Wu, Baoyindureng Domination in transformation graph \(G^{xy-}\). (English) Zbl 1452.05133 Util. Math. 113, 41-50 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{T. Wang} and \textit{B. Wu}, Util. Math. 113, 41--50 (2019; Zbl 1452.05133)
Gudgeri, Manjula C.; Veeragoudar, Jaishri B.; Sangolli, Pallavi Domination and total domination number of block-transformation graph \(G^{101}\). (English) Zbl 07273151 Bull. Int. Math. Virtual Inst. 9, No. 2, 255-261 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{M. C. Gudgeri} et al., Bull. Int. Math. Virtual Inst. 9, No. 2, 255--261 (2019; Zbl 07273151) Full Text: DOI
Basavanagoud, B.; Timmanaikar, Sujata Equitable total dominating graphs. (English) Zbl 07273132 Bull. Int. Math. Virtual Inst. 9, No. 1, 57-64 (2019). MSC: 05C50 PDF BibTeX XML Cite \textit{B. Basavanagoud} and \textit{S. Timmanaikar}, Bull. Int. Math. Virtual Inst. 9, No. 1, 57--64 (2019; Zbl 07273132) Full Text: DOI
Li, Ning The signed total reinforcement number of \(P (n, 2)\). (Chinese. English summary) Zbl 1449.05128 Math. Pract. Theory 49, No. 19, 237-240 (2019). MSC: 05C22 05C69 PDF BibTeX XML Cite \textit{N. Li}, Math. Pract. Theory 49, No. 19, 237--240 (2019; Zbl 1449.05128)
Brešar, Boštjan; Kos, Tim; Torres, Pablo Daniel Grundy domination and zero forcing in Kneser graphs. (English) Zbl 1433.05244 Ars Math. Contemp. 17, No. 2, 419-430 (2019). MSC: 05C69 05C76 05D05 PDF BibTeX XML Cite \textit{B. Brešar} et al., Ars Math. Contemp. 17, No. 2, 419--430 (2019; Zbl 1433.05244) Full Text: DOI
Brešar, Boštjan; Bujtás, Csilla; Gologranc, Tanja; Klavžar, Sandi; Košmrlj, Gašper; Marc, Tilen; Patkós, Balázs; Tuza, Zsolt; Vizer, Máté The variety of domination games. (English) Zbl 1428.05218 Aequationes Math. 93, No. 6, 1085-1109 (2019). MSC: 05C57 05C69 91A43 91A05 PDF BibTeX XML Cite \textit{B. Brešar} et al., Aequationes Math. 93, No. 6, 1085--1109 (2019; Zbl 1428.05218) Full Text: DOI arXiv
Kazemnejad, Farshad; Moradi, Somayeh Total domination number of central graphs. (English) Zbl 1423.05141 Bull. Korean Math. Soc. 56, No. 4, 1059-1075 (2019). MSC: 05C76 05C69 PDF BibTeX XML Cite \textit{F. Kazemnejad} and \textit{S. Moradi}, Bull. Korean Math. Soc. 56, No. 4, 1059--1075 (2019; Zbl 1423.05141) Full Text: DOI
Mojdeh, Doost Ali; Samadi, Babak; Yero, Ismael G. Packing and domination parameters in digraphs. (English) Zbl 1423.05074 Discrete Appl. Math. 269, 184-192 (2019). MSC: 05C20 05C70 05C69 PDF BibTeX XML Cite \textit{D. A. Mojdeh} et al., Discrete Appl. Math. 269, 184--192 (2019; Zbl 1423.05074) Full Text: DOI
Cabrera García, Suitberto; Cabrera Martínez, Abel; Yero, Ismael G. Quasi-total Roman domination in graphs. (English) Zbl 1420.05128 Result. Math. 74, No. 4, Paper No. 173, 18 p. (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{S. Cabrera García} et al., Result. Math. 74, No. 4, Paper No. 173, 18 p. (2019; Zbl 1420.05128) Full Text: DOI arXiv
Henning, Michael A.; Peterin, Iztok A characterization of graphs with disjoint total dominating sets. (English) Zbl 1416.05210 Ars Math. Contemp. 16, No. 2, 359-375 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{M. A. Henning} and \textit{I. Peterin}, Ars Math. Contemp. 16, No. 2, 359--375 (2019; Zbl 1416.05210) Full Text: DOI
Saygı, Elif On the domination number and the total domination number of Fibonacci cubes. (English) Zbl 1416.05216 Ars Math. Contemp. 16, No. 1, 245-255 (2019). MSC: 05C69 11B39 90C05 PDF BibTeX XML Cite \textit{E. Saygı}, Ars Math. Contemp. 16, No. 1, 245--255 (2019; Zbl 1416.05216) Full Text: DOI
Bujtás, Csilla; Jakovac, Marko Relating the total domination number and the annihilation number of cactus graphs and block graphs. (English) Zbl 1446.05068 Ars Math. Contemp. 16, No. 1, 183-202 (2019). Reviewer: Reinhardt Euler (Brest) MSC: 05C69 05C51 PDF BibTeX XML Cite \textit{C. Bujtás} and \textit{M. Jakovac}, Ars Math. Contemp. 16, No. 1, 183--202 (2019; Zbl 1446.05068) Full Text: DOI
Jiang, Yisheng; Lu, Mei Game total domination for cyclic bipartite graphs. (English) Zbl 1416.05191 Discrete Appl. Math. 265, 120-127 (2019). MSC: 05C57 05C69 91A43 91A05 PDF BibTeX XML Cite \textit{Y. Jiang} and \textit{M. Lu}, Discrete Appl. Math. 265, 120--127 (2019; Zbl 1416.05191) Full Text: DOI
Ahangar, H. Abdollahzadeh; Amjadi, J.; Chellali, M.; Nazari-Moghaddam, S.; Sheikholeslami, S. M. Total Roman reinforcement in graphs. (English) Zbl 1415.05128 Discuss. Math., Graph Theory 39, No. 4, 787-803 (2019). MSC: 05C69 05C78 PDF BibTeX XML Cite \textit{H. A. Ahangar} et al., Discuss. Math., Graph Theory 39, No. 4, 787--803 (2019; Zbl 1415.05128) Full Text: DOI
Zhu, Enqiang; Liu, Chanjuan; Deng, Fei; Rao, Yongsheng On upper total domination versus upper domination in graphs. (English) Zbl 1416.05217 Graphs Comb. 35, No. 3, 767-778 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{E. Zhu} et al., Graphs Comb. 35, No. 3, 767--778 (2019; Zbl 1416.05217) Full Text: DOI
Khoeilar, Rana; Karami, Hossein; Sheikholeslami, Seyed Mahmoud On two conjectures concerning total domination subdivision number in graphs. (English) Zbl 1420.05132 J. Comb. Optim. 38, No. 2, 333-340 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{R. Khoeilar} et al., J. Comb. Optim. 38, No. 2, 333--340 (2019; Zbl 1420.05132) Full Text: DOI
Meybodi, M. Alambardar; Hooshmandasl, M. R.; Sharifani, P.; Shakiba, A. Domination cover number of graphs. (English) Zbl 1410.05158 Discrete Math. Algorithms Appl. 11, No. 2, Article ID 1950020, 17 p. (2019). MSC: 05C69 05C85 05C30 PDF BibTeX XML Cite \textit{M. A. Meybodi} et al., Discrete Math. Algorithms Appl. 11, No. 2, Article ID 1950020, 17 p. (2019; Zbl 1410.05158) Full Text: DOI arXiv
Dankelmann, P.; Osaye, F. J. Average eccentricity, \(k\)-packing and \(k\)-domination in graphs. (English) Zbl 1415.05044 Discrete Math. 342, No. 5, 1261-1274 (2019). Reviewer: G. N. Prasanth (Alappuzha) MSC: 05C12 05C69 05C10 05C40 PDF BibTeX XML Cite \textit{P. Dankelmann} and \textit{F. J. Osaye}, Discrete Math. 342, No. 5, 1261--1274 (2019; Zbl 1415.05044) Full Text: DOI
Asplund, John; Davila, Randy; Krop, Elliot A Vizing-type result for semi-total domination. (English) Zbl 1407.05172 Discrete Appl. Math. 258, 8-12 (2019). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{J. Asplund} et al., Discrete Appl. Math. 258, 8--12 (2019; Zbl 1407.05172) Full Text: DOI arXiv
Iršič, Vesna Effect of predomination and vertex removal on the game total domination number of a graph. (English) Zbl 1406.05070 Discrete Appl. Math. 257, 216-225 (2019). MSC: 05C57 05C69 05C75 91A43 91A05 PDF BibTeX XML Cite \textit{V. Iršič}, Discrete Appl. Math. 257, 216--225 (2019; Zbl 1406.05070) Full Text: DOI arXiv
Hao, Guoliang; Qian, Jianguo; Xie, Zhihong On the sum of the total domination numbers of a digraph and its converse. (English) Zbl 1407.05178 Quaest. Math. 42, No. 1, 47-57 (2019). MSC: 05C69 05C20 PDF BibTeX XML Cite \textit{G. Hao} et al., Quaest. Math. 42, No. 1, 47--57 (2019; Zbl 1407.05178) Full Text: DOI
Henning, Michael A.; Rad, Nader Jafari A note on improved upper bounds on the transversal number of hypergraphs. (English) Zbl 1404.05137 Discrete Math. Algorithms Appl. 11, No. 1, Article ID 1950004, 6 p. (2019). MSC: 05C65 05D15 05C69 PDF BibTeX XML Cite \textit{M. A. Henning} and \textit{N. J. Rad}, Discrete Math. Algorithms Appl. 11, No. 1, Article ID 1950004, 6 p. (2019; Zbl 1404.05137) Full Text: DOI
Amjadi, Jafar; Sheikholeslami, Seyed Mahmoud; Soroudi, Marzieh On the total Roman domination in trees. (English) Zbl 1404.05146 Discuss. Math., Graph Theory 39, No. 2, 519-532 (2019). MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{J. Amjadi} et al., Discuss. Math., Graph Theory 39, No. 2, 519--532 (2019; Zbl 1404.05146) Full Text: DOI
Ning, Wenjie; Lu, Mei; Wang, Kun Bounding the locating-total domination number of a tree in terms of its annihilation number. (English) Zbl 1401.05221 Discuss. Math., Graph Theory 39, No. 1, 31-40 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{W. Ning} et al., Discuss. Math., Graph Theory 39, No. 1, 31--40 (2019; Zbl 1401.05221) Full Text: DOI
Girish, V. R.; Usha, P. Roman edge semi-total block domination of a graph. (English) Zbl 1415.05132 Asia Pac. J. Math. 5, No. 2, 139-150 (2018). MSC: 05C69 PDF BibTeX XML Cite \textit{V. R. Girish} and \textit{P. Usha}, Asia Pac. J. Math. 5, No. 2, 139--150 (2018; Zbl 1415.05132) Full Text: Link
Choopani, Fatemeh; Jafarzadeh, Abbas; Erfanian, Ahmad; Mojdeh, Doost Ali On dominated coloring of graphs and some Nordhaus-Gaddum-type relations. (English) Zbl 1424.05219 Turk. J. Math. 42, No. 5, 2148-2156 (2018). MSC: 05C69 05C15 05C76 PDF BibTeX XML Cite \textit{F. Choopani} et al., Turk. J. Math. 42, No. 5, 2148--2156 (2018; Zbl 1424.05219) Full Text: DOI
Zhou, Zhongwang Signed total \(\{ k \}\)-domination number and \(\{ k \}\)-chromatic number of a complete bipartite graph. (Chinese. English summary) Zbl 1424.05232 Adv. Math., Beijing 47, No. 4, 517-524 (2018). MSC: 05C69 05C15 PDF BibTeX XML Cite \textit{Z. Zhou}, Adv. Math., Beijing 47, No. 4, 517--524 (2018; Zbl 1424.05232) Full Text: DOI
Henning, Michael A.; Klavžar, Sandi Infinite families of circular and Möbius ladders that are total domination game critical. (English) Zbl 1406.05069 Bull. Malays. Math. Sci. Soc. (2) 41, No. 4, 2141-2149 (2018). MSC: 05C57 05C69 05C76 PDF BibTeX XML Cite \textit{M. A. Henning} and \textit{S. Klavžar}, Bull. Malays. Math. Sci. Soc. (2) 41, No. 4, 2141--2149 (2018; Zbl 1406.05069) Full Text: DOI
Kazemi, Adel P. Upper \(k\)-tuple total domination in graphs. (English) Zbl 1403.05114 Pure Appl. Math. Q. 13, No. 4, 563-579 (2018). MSC: 05C69 05C76 05D15 PDF BibTeX XML Cite \textit{A. P. Kazemi}, Pure Appl. Math. Q. 13, No. 4, 563--579 (2018; Zbl 1403.05114) Full Text: DOI arXiv
Nagy, Zoltán Lóránt Coupon-coloring and total domination in Hamiltonian planar triangulations. (English) Zbl 1402.05077 Graphs Comb. 34, No. 6, 1385-1394 (2018). MSC: 05C15 05C69 05C45 05C35 PDF BibTeX XML Cite \textit{Z. L. Nagy}, Graphs Comb. 34, No. 6, 1385--1394 (2018; Zbl 1402.05077) Full Text: DOI
Bahadır, Selim; Gözüpek, Didem On a class of graphs with large total domination number. (English) Zbl 1401.05209 Discrete Math. Theor. Comput. Sci. 20, No. 1, Paper No. 23, 8 p. (2018). MSC: 05C69 05C75 PDF BibTeX XML Cite \textit{S. Bahadır} and \textit{D. Gözüpek}, Discrete Math. Theor. Comput. Sci. 20, No. 1, Paper No. 23, 8 p. (2018; Zbl 1401.05209) Full Text: Link arXiv
Asgharsharghi, Leila; Khodkar, Abdollah; Sheikholeslami, S. M. On signed arc total domination in digraphs. (English) Zbl 1403.05109 Opusc. Math. 38, No. 6, 779-794 (2018). MSC: 05C69 05C20 PDF BibTeX XML Cite \textit{L. Asgharsharghi} et al., Opusc. Math. 38, No. 6, 779--794 (2018; Zbl 1403.05109) Full Text: DOI
Lv, Xue-Zheng; Wu, Baoyindureng Total \([1,2]\)-domination in graphs. (English) Zbl 1402.05168 Acta Math. Appl. Sin., Engl. Ser. 34, No. 4, 801-812 (2018). MSC: 05C69 PDF BibTeX XML Cite \textit{X.-Z. Lv} and \textit{B. Wu}, Acta Math. Appl. Sin., Engl. Ser. 34, No. 4, 801--812 (2018; Zbl 1402.05168) Full Text: DOI
Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. Game total domination critical graphs. (English) Zbl 1398.05135 Discrete Appl. Math. 250, 28-37 (2018). MSC: 05C57 05C69 91A43 91A05 PDF BibTeX XML Cite \textit{M. A. Henning} et al., Discrete Appl. Math. 250, 28--37 (2018; Zbl 1398.05135) Full Text: DOI
Shang, Huahui; Miao, Lianying On graphs with equal total domination and connected domination numbers. (Chinese. English summary) Zbl 1413.05300 J. Jiangsu Norm. Univ., Nat. Sci. 36, No. 1, 33-37 (2018). MSC: 05C69 PDF BibTeX XML Cite \textit{H. Shang} and \textit{L. Miao}, J. Jiangsu Norm. Univ., Nat. Sci. 36, No. 1, 33--37 (2018; Zbl 1413.05300) Full Text: DOI
Abdollahzadeh Ahangar, H.; Khaibari, M.; Jafari Rad, N.; Sheikholeslami, S. M. Graphs with large total 2-rainbow domination number. (English) Zbl 1397.05122 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 2, 841-846 (2018); correction ibid. 42, No. 2, 1005 (2018). MSC: 05C69 PDF BibTeX XML Cite \textit{H. Abdollahzadeh Ahangar} et al., Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 2, 841--846 (2018; Zbl 1397.05122) Full Text: DOI
Desormeaux, Wyatt J.; Henning, Michael A. A new lower bound on the total domination number of a tree. (English) Zbl 06945767 Ars Comb. 138, 305-322 (2018). MSC: 05C69 PDF BibTeX XML Cite \textit{W. J. Desormeaux} and \textit{M. A. Henning}, Ars Comb. 138, 305--322 (2018; Zbl 06945767)
Atapour, M.; Bodaghli, A.; Sheikholeslami, S. M. Twin signed total domination numbers in directed graphs. (English) Zbl 06945754 Ars Comb. 138, 119-131 (2018). MSC: 05C69 PDF BibTeX XML Cite \textit{M. Atapour} et al., Ars Comb. 138, 119--131 (2018; Zbl 06945754)
Mojdeh, Doostali; Habibi, Mohammad; Badakhshian, Leila Total and connected domination in chemical graphs. (English) Zbl 1394.05092 Ital. J. Pure Appl. Math. 39, 393-401 (2018). MSC: 05C69 05C90 92E99 PDF BibTeX XML Cite \textit{D. Mojdeh} et al., Ital. J. Pure Appl. Math. 39, 393--401 (2018; Zbl 1394.05092) Full Text: Link
Brešar, Boštjan; Kos, Tim; Nasini, Graciela; Torres, Pablo Total dominating sequences in trees, split graphs, and under modular decomposition. (English) Zbl 06920225 Discrete Optim. 28, 16-30 (2018). MSC: 05C69 05C85 PDF BibTeX XML Cite \textit{B. Brešar} et al., Discrete Optim. 28, 16--30 (2018; Zbl 06920225) Full Text: DOI
Ayarija, Jernej; Klavžar, Sandi; Rho, Yoomi; Sim, Seungbo On domination-type invariants of Fibonacci cubes and hypercubes. (English) Zbl 1393.05196 Ars Math. Contemp. 14, No. 2, 387-395 (2018). MSC: 05C69 68R10 94B05 90C05 PDF BibTeX XML Cite \textit{J. Ayarija} et al., Ars Math. Contemp. 14, No. 2, 387--395 (2018; Zbl 1393.05196) Full Text: DOI
Volkmann, Lutz Signed total Roman \(k\)-domination in graphs. (English) Zbl 1396.05087 J. Comb. Math. Comb. Comput. 105, 105-116 (2018). MSC: 05C69 PDF BibTeX XML Cite \textit{L. Volkmann}, J. Comb. Math. Comb. Comput. 105, 105--116 (2018; Zbl 1396.05087)
Gao, Hong; Cao, Huiping; Yang, Yuansheng On the total signed domination number of \(P_m\square C_n\). (English) Zbl 1413.05288 Ars Comb. 136, 3-19 (2018). MSC: 05C69 05C76 05C38 PDF BibTeX XML Cite \textit{H. Gao} et al., Ars Comb. 136, 3--19 (2018; Zbl 1413.05288)
Amjadi, J.; Soroudi, M. Twin signed total Roman domination numbers in digraphs. (English) Zbl 1391.05192 Asian-Eur. J. Math. 11, No. 3, Article ID 1850034, 22 p. (2018). MSC: 05C69 PDF BibTeX XML Cite \textit{J. Amjadi} and \textit{M. Soroudi}, Asian-Eur. J. Math. 11, No. 3, Article ID 1850034, 22 p. (2018; Zbl 1391.05192) Full Text: DOI
Ahangar, Hossein Abdollahzadeh; Amjadi, Jafar; Rad, Nader Jafari; Samodivkin, Vladimir D. Total \(k\)-rainbow domination numbers in graphs. (English) Zbl 1384.05120 Commun. Comb. Optim. 3, No. 1, 37-50 (2018). MSC: 05C69 05C15 PDF BibTeX XML Cite \textit{H. A. Ahangar} et al., Commun. Comb. Optim. 3, No. 1, 37--50 (2018; Zbl 1384.05120) Full Text: DOI
Amjadi, J. The signed total Roman domatic number of a digraph. (English) Zbl 1383.05127 Discrete Math. Algorithms Appl. 10, No. 2, Article ID 1850020, 9 p. (2018). MSC: 05C20 05C69 05C22 PDF BibTeX XML Cite \textit{J. Amjadi}, Discrete Math. Algorithms Appl. 10, No. 2, Article ID 1850020, 9 p. (2018; Zbl 1383.05127) Full Text: DOI
Cyman, Joanna; Dettlaff, Magda; Henning, Michael A.; Lemańska, Magdalena; Raczek, Joanna Total domination versus domination in cubic graphs. (English) Zbl 1382.05052 Graphs Comb. 34, No. 1, 261-276 (2018). MSC: 05C69 05C40 PDF BibTeX XML Cite \textit{J. Cyman} et al., Graphs Comb. 34, No. 1, 261--276 (2018; Zbl 1382.05052) Full Text: DOI
Krzywkowski, Marcin; Wagner, Stephan Graphs with few total dominating sets. (English) Zbl 1380.05152 Discrete Math. 341, No. 4, 997-1009 (2018). MSC: 05C69 05C35 PDF BibTeX XML Cite \textit{M. Krzywkowski} and \textit{S. Wagner}, Discrete Math. 341, No. 4, 997--1009 (2018; Zbl 1380.05152) Full Text: DOI
Amjadi, J.; Sheikholeslami, S. M.; Soroudi, M. Nordhaus-Gaddum bounds for total Roman domination. (English) Zbl 1393.05193 J. Comb. Optim. 35, No. 1, 126-133 (2018). Reviewer: A. Lourdusamy (Palayamkottai) MSC: 05C69 PDF BibTeX XML Cite \textit{J. Amjadi} et al., J. Comb. Optim. 35, No. 1, 126--133 (2018; Zbl 1393.05193) Full Text: DOI
Akbari, Saieed; Motiei, Mohammad; Mozaffari, Sahand; Yazdanbod, Sina Cubic graphs with total domatic number at least two. (English) Zbl 1377.05134 Discuss. Math., Graph Theory 38, No. 1, 75-82 (2018). MSC: 05C69 05C15 PDF BibTeX XML Cite \textit{S. Akbari} et al., Discuss. Math., Graph Theory 38, No. 1, 75--82 (2018; Zbl 1377.05134) Full Text: DOI arXiv
Hao, Guoliang; Chen, Xiaodan A note on lower bounds for the total domination number of digraphs. (English) Zbl 1423.05122 Quaest. Math. 40, No. 4, 553-562 (2017). MSC: 05C69 05C20 PDF BibTeX XML Cite \textit{G. Hao} and \textit{X. Chen}, Quaest. Math. 40, No. 4, 553--562 (2017; Zbl 1423.05122) Full Text: DOI
Duginov, Oleg Secure total domination in graphs: bounds and complexity. (English) Zbl 1396.05084 Discrete Appl. Math. 222, 97-108 (2017). MSC: 05C69 68Q25 68W25 PDF BibTeX XML Cite \textit{O. Duginov}, Discrete Appl. Math. 222, 97--108 (2017; Zbl 1396.05084) Full Text: DOI
Atapour, Maryam; Dehgardi, Nasrin; Volkmann, L. An introduction to the twin signed total -domination numbers in directed graphs. (English) Zbl 1393.05195 RAIRO, Oper. Res. 51, No. 4, 1331-1343 (2017). MSC: 05C69 PDF BibTeX XML Cite \textit{M. Atapour} et al., RAIRO, Oper. Res. 51, No. 4, 1331--1343 (2017; Zbl 1393.05195) Full Text: DOI
Shang, Huahui; Miao, Lianying On the lower bounds of two signed domination number of a graph. (Chinese. English summary) Zbl 1399.05175 Math. Pract. Theory 47, No. 21, 223-230 (2017). MSC: 05C69 PDF BibTeX XML Cite \textit{H. Shang} and \textit{L. Miao}, Math. Pract. Theory 47, No. 21, 223--230 (2017; Zbl 1399.05175)
Ao, Guoyan; Hong, Xia; Zhang, Guizhi; Jirimutu Inverse signed edge total domination numbers of graphs. (Chinese. English summary) Zbl 1399.05169 Math. Pract. Theory 47, No. 16, 195-198 (2017). MSC: 05C69 05C22 PDF BibTeX XML Cite \textit{G. Ao} et al., Math. Pract. Theory 47, No. 16, 195--198 (2017; Zbl 1399.05169)
Poovangal, Shyama Manal; Kumar, V. Anil Distance-\(k\) total domination polynomial of some graphs. (English) Zbl 1386.05142 Adv. Appl. Discrete Math. 18, No. 3, 303-316 (2017). MSC: 05C69 05C12 05C31 PDF BibTeX XML Cite \textit{S. M. Poovangal} and \textit{V. A. Kumar}, Adv. Appl. Discrete Math. 18, No. 3, 303--316 (2017; Zbl 1386.05142) Full Text: DOI
Campêlo, Manoel; Severín, Daniel Facets of the polytope of legal sequences. (English) Zbl 1383.05231 Bassino, Frédérique (ed.) et al., LAGOS 2017. Selected papers of the 9th Latin-American algorithms, graphs, and optimization symposium, Marseille, France, September 11–15, 2017. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 62, 15-20 (2017). MSC: 05C69 PDF BibTeX XML Cite \textit{M. Campêlo} and \textit{D. Severín}, Electron. Notes Discrete Math. 62, 15--20 (2017; Zbl 1383.05231) Full Text: DOI
Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. The 4/5 upper bound on the game total domination number. (English) Zbl 1399.05165 Combinatorica 37, No. 2, 223-251 (2017). MSC: 05C57 05C05 91A43 05C69 PDF BibTeX XML Cite \textit{M. A. Henning} et al., Combinatorica 37, No. 2, 223--251 (2017; Zbl 1399.05165) Full Text: DOI
Li, Wensheng; Huang, Zhongsheng; Feng, Zhifang; Wu, Dandan 2-signed total domination number of graphs. (Chinese. English summary) Zbl 1389.05127 J. Jiangsu Norm. Univ., Nat. Sci. 35, No. 2, 31-33 (2017). MSC: 05C69 PDF BibTeX XML Cite \textit{W. Li} et al., J. Jiangsu Norm. Univ., Nat. Sci. 35, No. 2, 31--33 (2017; Zbl 1389.05127) Full Text: DOI
Sudhahar, P. Arul Paul; Ajitha, A.; Subramanian, A. The total edge geodetic domination number of a graph. (English) Zbl 1431.05117 South East Asian J. Math. Math. Sci. 13, No. 1, 19-26 (2017). MSC: 05C69 PDF BibTeX XML Cite \textit{P. A. P. Sudhahar} et al., South East Asian J. Math. Math. Sci. 13, No. 1, 19--26 (2017; Zbl 1431.05117)
Gao, Hong; Zhang, Qingfang; Yang, Yuansheng On the total signed domination number of the Cartesian product of paths. (English) Zbl 1376.05111 Contrib. Discrete Math. 12, No. 2, 52-62 (2017). MSC: 05C69 05C76 05C38 PDF BibTeX XML Cite \textit{H. Gao} et al., Contrib. Discrete Math. 12, No. 2, 52--62 (2017; Zbl 1376.05111) Full Text: Link
Ning, Wenjie; Lu, Mei; Guo, Jia Locating and differentiating-total dominating sets in unicyclic graphs. (English) Zbl 1424.05225 Ars Comb. 132, 241-255 (2017). MSC: 05C69 PDF BibTeX XML Cite \textit{W. Ning} et al., Ars Comb. 132, 241--255 (2017; Zbl 1424.05225)
Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M. Global total Roman domination in graphs. (English) Zbl 1373.05134 Discrete Math. Algorithms Appl. 9, No. 4, Article ID 1750050, 13 p. (2017). MSC: 05C69 PDF BibTeX XML Cite \textit{J. Amjadi} et al., Discrete Math. Algorithms Appl. 9, No. 4, Article ID 1750050, 13 p. (2017; Zbl 1373.05134) Full Text: DOI
Asgharsharghi, Leila; Sheikholeslami, Seyed Mahmoud Signed total Roman edge domination in graphs. (English) Zbl 1372.05156 Discuss. Math., Graph Theory 37, No. 4, 1039-1053 (2017). MSC: 05C69 PDF BibTeX XML Cite \textit{L. Asgharsharghi} and \textit{S. M. Sheikholeslami}, Discuss. Math., Graph Theory 37, No. 4, 1039--1053 (2017; Zbl 1372.05156) Full Text: DOI
Volkmann, Lutz The signed total Roman \(k\)-domatic number of a graph. (English) Zbl 1372.05165 Discuss. Math., Graph Theory 37, No. 4, 1027-1038 (2017). MSC: 05C69 PDF BibTeX XML Cite \textit{L. Volkmann}, Discuss. Math., Graph Theory 37, No. 4, 1027--1038 (2017; Zbl 1372.05165) Full Text: DOI
Dehgardi, Nasrin; Atapour, Maryam Twin minus total domination numbers in directed graphs. (English) Zbl 1372.05159 Discuss. Math., Graph Theory 37, No. 4, 989-1004 (2017). MSC: 05C69 PDF BibTeX XML Cite \textit{N. Dehgardi} and \textit{M. Atapour}, Discuss. Math., Graph Theory 37, No. 4, 989--1004 (2017; Zbl 1372.05159) Full Text: DOI
Kazemi, Adel P. Total dominator chromatic number of Mycieleskian graphs. (English) Zbl 1370.05067 Util. Math. 103, 129-137 (2017). MSC: 05C15 05C69 PDF BibTeX XML Cite \textit{A. P. Kazemi}, Util. Math. 103, 129--137 (2017; Zbl 1370.05067)
Sahul Hamid, I.; Prabhavathy, S. Anandha Non-negative majority total domination in graphs. (English) Zbl 1401.05226 Palest. J. Math. 6, No. 2, 611-616 (2017). MSC: 05C69 PDF BibTeX XML Cite \textit{I. Sahul Hamid} and \textit{S. A. Prabhavathy}, Palest. J. Math. 6, No. 2, 611--616 (2017; Zbl 1401.05226) Full Text: Link
Henning, Michael A.; Rall, Douglas F. Trees with equal total domination and game total domination numbers. (English) Zbl 1365.05199 Discrete Appl. Math. 226, 58-70 (2017). MSC: 05C57 05C69 05C05 91A43 PDF BibTeX XML Cite \textit{M. A. Henning} and \textit{D. F. Rall}, Discrete Appl. Math. 226, 58--70 (2017; Zbl 1365.05199) Full Text: DOI arXiv
Mojdeh, D. A.; Samadi, B. On the inverse signed total domination number in graphs. (English) Zbl 1364.05054 Opusc. Math. 37, No. 3, 447-456 (2017). MSC: 05C69 PDF BibTeX XML Cite \textit{D. A. Mojdeh} and \textit{B. Samadi}, Opusc. Math. 37, No. 3, 447--456 (2017; Zbl 1364.05054) Full Text: DOI
Gentner, Michael; Rautenbach, Dieter Some comments on the Slater number. (English) Zbl 1361.05096 Discrete Math. 340, No. 7, 1497-1502 (2017). MSC: 05C69 05C42 PDF BibTeX XML Cite \textit{M. Gentner} and \textit{D. Rautenbach}, Discrete Math. 340, No. 7, 1497--1502 (2017; Zbl 1361.05096) Full Text: DOI arXiv
Yi, Eunjeong Disjunctive total domination in permutation graphs. (English) Zbl 1358.05224 Discrete Math. Algorithms Appl. 9, No. 1, Article ID 1750009, 20 p. (2017). MSC: 05C69 05C38 PDF BibTeX XML Cite \textit{E. Yi}, Discrete Math. Algorithms Appl. 9, No. 1, Article ID 1750009, 20 p. (2017; Zbl 1358.05224) Full Text: DOI
Volkmann, Lutz Signed total Roman domination in digraphs. (English) Zbl 1354.05063 Discuss. Math., Graph Theory 37, No. 1, 261-272 (2017). MSC: 05C20 05C69 PDF BibTeX XML Cite \textit{L. Volkmann}, Discuss. Math., Graph Theory 37, No. 1, 261--272 (2017; Zbl 1354.05063) Full Text: DOI