Alizadeh, F.; Maimani, H. R.; Majd, L. Parsaei; Rajabi Parsa, M. Roman \(\{2\}\)-domination in graphs and graph products. (English) Zbl 07788164 Iran. J. Math. Sci. Inform. 18, No. 2, 117-126 (2023). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{F. Alizadeh} et al., Iran. J. Math. Sci. Inform. 18, No. 2, 117--126 (2023; Zbl 07788164) Full Text: DOI arXiv
Brešar, Boštjan; Kuenzel, Kirsti; Rall, Douglas F. Domination in digraphs and their direct and Cartesian products. (English) Zbl 07746117 J. Graph Theory 99, No. 3, 359-377 (2022). MSC: 05C20 05C69 05C76 PDFBibTeX XMLCite \textit{B. Brešar} et al., J. Graph Theory 99, No. 3, 359--377 (2022; Zbl 07746117) Full Text: DOI arXiv
Zhao, Weisheng; Lin, Ruizhi; Cai, Junqing On construction for trees making the equality hold in Vizing’s conjecture. (English) Zbl 1521.05027 J. Graph Theory 101, No. 3, 397-427 (2022). MSC: 05C05 05C69 05C76 PDFBibTeX XMLCite \textit{W. Zhao} et al., J. Graph Theory 101, No. 3, 397--427 (2022; Zbl 1521.05027) Full Text: DOI
Eakawinrujee, Pannawat Total and paired domination numbers of cylinders. (English) Zbl 1501.05018 Bull. Malays. Math. Sci. Soc. (2) 45, No. 6, 3321-3334 (2022). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{P. Eakawinrujee}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 6, 3321--3334 (2022; Zbl 1501.05018) Full Text: DOI
Anderson, Sarah E.; Kuenzel, K. Independent transversal domination in trees, products and under local changes to a graph. (English) Zbl 1497.05197 Aequationes Math. 96, No. 5, 981-995 (2022). MSC: 05C69 05C76 05D15 PDFBibTeX XMLCite \textit{S. E. Anderson} and \textit{K. Kuenzel}, Aequationes Math. 96, No. 5, 981--995 (2022; Zbl 1497.05197) Full Text: DOI
Henning, Michael A. Bounds on domination parameters in graphs: a brief survey. (English) Zbl 1492.05116 Discuss. Math., Graph Theory 42, No. 3, 665-708 (2022). Reviewer: Saeid Alikhani (Yazd) MSC: 05C69 PDFBibTeX XMLCite \textit{M. A. Henning}, Discuss. Math., Graph Theory 42, No. 3, 665--708 (2022; Zbl 1492.05116) Full Text: DOI
Hassler, Nathanaël; Treglown, Andrew On maximal sum-free sets in abelian groups. (English) Zbl 1505.11041 Electron. J. Comb. 29, No. 2, Research Paper P2.32, 24 p. (2022). Reviewer: Amit Sehgal (Rohtak) MSC: 11B75 05D10 20D60 20K01 PDFBibTeX XMLCite \textit{N. Hassler} and \textit{A. Treglown}, Electron. J. Comb. 29, No. 2, Research Paper P2.32, 24 p. (2022; Zbl 1505.11041) Full Text: DOI arXiv
Hujdurović, Ademir; Kutnar, Klavdija; Kuzma, Bojan; Marušič, Dragan; Miklavič, Štefko; Orel, Marko On intersection density of transitive groups of degree a product of two odd primes. (English) Zbl 1514.20016 Finite Fields Appl. 78, Article ID 101975, 10 p. (2022). MSC: 20B25 05C25 PDFBibTeX XMLCite \textit{A. Hujdurović} et al., Finite Fields Appl. 78, Article ID 101975, 10 p. (2022; Zbl 1514.20016) Full Text: DOI arXiv
Pahlavsay, Behnaz; Palezzato, Elisa; Torielli, Michele 3-tuple total domination number of Rook’s graphs. (English) Zbl 1484.05160 Discuss. Math., Graph Theory 42, No. 1, 15-37 (2022). Reviewer: K. A. Germina (Kerala) MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{B. Pahlavsay} et al., Discuss. Math., Graph Theory 42, No. 1, 15--37 (2022; Zbl 1484.05160) Full Text: DOI arXiv
Mütze, Torsten; Nummenpalo, Jerri; Walczak, Bartosz Sparse Kneser graphs are Hamiltonian. (English) Zbl 1470.05096 J. Lond. Math. Soc., II. Ser. 103, No. 4, 1253-1275 (2021). MSC: 05C45 05C42 94B25 PDFBibTeX XMLCite \textit{T. Mütze} et al., J. Lond. Math. Soc., II. Ser. 103, No. 4, 1253--1275 (2021; Zbl 1470.05096) Full Text: DOI
Oh, Seungsang Number of dominating sets in cylindric square grid graphs. (English) Zbl 1469.05079 Graphs Comb. 37, No. 4, 1357-1372 (2021). MSC: 05C30 05C69 05C31 PDFBibTeX XMLCite \textit{S. Oh}, Graphs Comb. 37, No. 4, 1357--1372 (2021; Zbl 1469.05079) Full Text: DOI
Ojakian, Kerry; Škrekovski, Riste; Tepeh, Aleksandra Bounding the \(k\)-rainbow total domination number. (English) Zbl 1466.05169 Discrete Math. 344, No. 8, Article ID 112425, 11 p. (2021). MSC: 05C69 05C15 PDFBibTeX XMLCite \textit{K. Ojakian} et al., Discrete Math. 344, No. 8, Article ID 112425, 11 p. (2021; Zbl 1466.05169) Full Text: DOI arXiv
Anabanti, Chimere S. On the three questions of Bertram on locally maximal sum-free sets. (English) Zbl 1507.20012 Quaest. Math. 44, No. 3, 301-305 (2021). MSC: 20D60 05E16 11B75 PDFBibTeX XMLCite \textit{C. S. Anabanti}, Quaest. Math. 44, No. 3, 301--305 (2021; Zbl 1507.20012) Full Text: DOI Link
Bujtás, Csilla Domination number of graphs with minimum degree five. (English) Zbl 1459.05232 Discuss. Math., Graph Theory 41, No. 3, 763-777 (2021). MSC: 05C69 PDFBibTeX XMLCite \textit{C. Bujtás}, Discuss. Math., Graph Theory 41, No. 3, 763--777 (2021; Zbl 1459.05232) Full Text: DOI arXiv
Brešar, Boštjan; Hartnell, Bert L.; Henning, Michael A.; Kuenzel, Kirsti; Rall, Douglas F. A new framework to approach Vizing’s conjecture. (English) Zbl 1459.05231 Discuss. Math., Graph Theory 41, No. 3, 749-762 (2021). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{B. Brešar} et al., Discuss. Math., Graph Theory 41, No. 3, 749--762 (2021; Zbl 1459.05231) Full Text: DOI
Brešar, Boštjan Rainbow domination in graphs. (English) Zbl 1479.05247 Haynes, Teresa W. (ed.) et al., Topics in domination in graphs. Cham: Springer. Dev. Math. 64, 411-443 (2020). MSC: 05C69 05C15 PDFBibTeX XMLCite \textit{B. Brešar}, Dev. Math. 64, 411--443 (2020; Zbl 1479.05247) Full Text: DOI Euclid
Goddard, Wayne; Henning, Michael A. Fractional dominating parameters. (English) Zbl 1479.05266 Haynes, Teresa W. (ed.) et al., Topics in domination in graphs. Cham: Springer. Dev. Math. 64, 349-363 (2020). MSC: 05C69 PDFBibTeX XMLCite \textit{W. Goddard} and \textit{M. A. Henning}, Dev. Math. 64, 349--363 (2020; Zbl 1479.05266) Full Text: DOI
Hansberg, Adriana; Volkmann, Lutz Multiple domination. (English) Zbl 1479.05267 Haynes, Teresa W. (ed.) et al., Topics in domination in graphs. Cham: Springer. Dev. Math. 64, 151-203 (2020). MSC: 05C69 PDFBibTeX XMLCite \textit{A. Hansberg} and \textit{L. Volkmann}, Dev. Math. 64, 151--203 (2020; Zbl 1479.05267) Full Text: DOI
Desormeaux, Wyatt J.; Haynes, Teresa W.; Henning, Michael A. Paired domination in graphs. (English) Zbl 1479.05259 Haynes, Teresa W. (ed.) et al., Topics in domination in graphs. Cham: Springer. Dev. Math. 64, 31-77 (2020). MSC: 05C69 PDFBibTeX XMLCite \textit{W. J. Desormeaux} et al., Dev. Math. 64, 31--77 (2020; Zbl 1479.05259) Full Text: DOI
Sharifani, P.; Hooshmandasl, M. R.; Meybodi, M. Alambardar An explicit construction of optimal dominating and \([1, 2]\)-dominating sets in grid. (English) Zbl 1471.05086 AKCE Int. J. Graphs Comb. 17, No. 3, 870-876 (2020). MSC: 05C69 90C39 68Q17 PDFBibTeX XMLCite \textit{P. Sharifani} et al., AKCE Int. J. Graphs Comb. 17, No. 3, 870--876 (2020; Zbl 1471.05086) Full Text: DOI arXiv
Harris, Pamela E.; Insko, Erik; Johnson, Katie Projects in \((t,r)\) broadcast domination. (English) Zbl 1447.05154 Harris, Pamela E. (ed.) et al., A project-based guide to undergraduate research in mathematics. Starting and sustaining accessible undergraduate research. Cham: Birkhäuser. Found. Undergrad. Res. Math., 235-262 (2020). MSC: 05C69 05C90 PDFBibTeX XMLCite \textit{P. E. Harris} et al., in: A project-based guide to undergraduate research in mathematics. Starting and sustaining accessible undergraduate research. Cham: Birkhäuser. 235--262 (2020; Zbl 1447.05154) Full Text: DOI
Coll, Vincent E. jun.; Mayers, Andrew W.; Mayers, Nicholas W. Statistics on partitions arising from seaweed algebras. (English) Zbl 1445.05015 Electron. J. Comb. 27, No. 3, Research Paper P3.1, 13 p. (2020). Reviewer: Dazhao Tang (Chongqing) MSC: 05A17 17B99 PDFBibTeX XMLCite \textit{V. E. Coll jun.} et al., Electron. J. Comb. 27, No. 3, Research Paper P3.1, 13 p. (2020; Zbl 1445.05015) Full Text: DOI arXiv
Brešar, Boštjan; Henning, Michael A. A \(\frac{3}{4}\)-approximation of Vizing’s conjecture for claw-free graphs. (English) Zbl 1443.05138 Discrete Appl. Math. 284, 416-422 (2020). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{B. Brešar} and \textit{M. A. Henning}, Discrete Appl. Math. 284, 416--422 (2020; Zbl 1443.05138) Full Text: DOI
Harris, Pamela E.; Luque, Dalia K.; Flores, Claudia Reyes; Sepulveda, Nohemi Efficient \(( t , r )\) broadcast dominating sets of the triangular lattice. (English) Zbl 1445.05078 Discrete Appl. Math. 277, 180-192 (2020). Reviewer: Aleksandra Tepeh (Duplek) MSC: 05C69 PDFBibTeX XMLCite \textit{P. E. Harris} et al., Discrete Appl. Math. 277, 180--192 (2020; Zbl 1445.05078) Full Text: DOI
Carreño, José Juan; Martínez, José Antonio; Puertas, María Luz A general lower bound for the domination number of cylindrical graphs. (English) Zbl 1434.05080 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1671-1684 (2020). MSC: 05C38 05C76 05C85 PDFBibTeX XMLCite \textit{J. J. Carreño} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1671--1684 (2020; Zbl 1434.05080) Full Text: DOI arXiv
Zerbib, Shira An improved bound in Vizing’s conjecture. (English) Zbl 1431.05118 Graphs Comb. 35, No. 6, 1401-1404 (2019). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{S. Zerbib}, Graphs Comb. 35, No. 6, 1401--1404 (2019; Zbl 1431.05118) Full Text: DOI arXiv
Gorodetsky, Ofir \(q\)-congruences, with applications to supercongruences and the cyclic sieving phenomenon. (English) Zbl 1423.11043 Int. J. Number Theory 15, No. 9, 1919-1968 (2019). MSC: 11B65 05A30 11A07 11B83 PDFBibTeX XMLCite \textit{O. Gorodetsky}, Int. J. Number Theory 15, No. 9, 1919--1968 (2019; Zbl 1423.11043) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Asplund} et al., Discrete Appl. Math. 258, 8--12 (2019; Zbl 1407.05172) Full Text: DOI arXiv
Landjev, Ivan; Georgieva, Nevyana Conditions for the existence of spreads in projective Hjelmslev spaces. (English) Zbl 1410.51005 Des. Codes Cryptography 87, No. 4, 785-794 (2019). MSC: 51C05 51E23 51E05 05B25 05B30 16P10 PDFBibTeX XMLCite \textit{I. Landjev} and \textit{N. Georgieva}, Des. Codes Cryptography 87, No. 4, 785--794 (2019; Zbl 1410.51005) Full Text: DOI
Drews, Benjamin F.; Harris, Pamela E.; Randolph, Timothy W. Optimal \((t, r)\) broadcasts on the infinite grid. (English) Zbl 1405.05133 Discrete Appl. Math. 255, 183-197 (2019). MSC: 05C69 05C82 PDFBibTeX XMLCite \textit{B. F. Drews} et al., Discrete Appl. Math. 255, 183--197 (2019; Zbl 1405.05133) Full Text: DOI arXiv
Guo, Victor J. W. A \(q\)-analogue of the (I.2) supercongruence of Van Hamme. (English) Zbl 1461.11037 Int. J. Number Theory 15, No. 1, 29-36 (2019). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 11A07 05A10 05A30 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Int. J. Number Theory 15, No. 1, 29--36 (2019; Zbl 1461.11037) Full Text: DOI
Kazemi, Adel P.; Pahlavsay, Behnaz; Stones, Rebecca J. Cartesian product graphs and \(k\)-tuple total domination. (English) Zbl 1499.05472 Filomat 32, No. 19, 6713-6731 (2018). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{A. P. Kazemi} et al., Filomat 32, No. 19, 6713--6731 (2018; Zbl 1499.05472) Full Text: DOI arXiv
Haviv, Ishay; Levy, Dan Symmetric complete sum-free sets in cyclic groups. (English) Zbl 1465.11050 Isr. J. Math. 227, No. 2, 931-956 (2018). Reviewer: Jean-Marc Deshouillers (Bordeaux) MSC: 11B13 05B10 11K31 60F15 PDFBibTeX XMLCite \textit{I. Haviv} and \textit{D. Levy}, Isr. J. Math. 227, No. 2, 931--956 (2018; Zbl 1465.11050) Full Text: DOI arXiv
Ramos, Eric Asymptotic behaviors in the homology of symmetric group and finite general linear group quandles. (English) Zbl 1420.57041 J. Pure Appl. Algebra 222, No. 12, 3858-3876 (2018). Reviewer: David Stanovsky (Praha) MSC: 57M27 05E10 20E45 PDFBibTeX XMLCite \textit{E. Ramos}, J. Pure Appl. Algebra 222, No. 12, 3858--3876 (2018; Zbl 1420.57041) Full Text: DOI arXiv
Pei, Li-Dan; Pan, Xiang-Feng; Hu, Fu-Tao Some improved inequalities related to Vizing’s conjecture. (English) Zbl 1476.05159 Inf. Process. Lett. 135, 85-91 (2018). MSC: 05C69 PDFBibTeX XMLCite \textit{L.-D. Pei} et al., Inf. Process. Lett. 135, 85--91 (2018; Zbl 1476.05159) Full Text: DOI
Guo, Victor J. W. A \(q\)-analogue of a Ramanujan-type supercongruence involving central binomial coefficients. (English) Zbl 1373.05025 J. Math. Anal. Appl. 458, No. 1, 590-600 (2018). MSC: 05A30 05A10 11B65 11A07 11F33 11Y55 PDFBibTeX XMLCite \textit{V. J. W. Guo}, J. Math. Anal. Appl. 458, No. 1, 590--600 (2018; Zbl 1373.05025) Full Text: DOI
Anderson, S. E.; Nagpal, Shriya; Wash, K. Domination in the hierarchical product and Vizing’s conjecture. (English) Zbl 1372.05155 Discrete Math. 341, No. 1, 20-24 (2018). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{S. E. Anderson} et al., Discrete Math. 341, No. 1, 20--24 (2018; Zbl 1372.05155) Full Text: DOI
Bermudo, S.; Sanchéz, J. L.; Sigarreta, J. M. Total \(k\)-domination in Cartesian product graphs. (English) Zbl 1413.05279 Period. Math. Hung. 75, No. 2, 255-267 (2017). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{S. Bermudo} et al., Period. Math. Hung. 75, No. 2, 255--267 (2017; Zbl 1413.05279) Full Text: DOI
Gregor, Petr; Lužar, Borut; Soták, Roman Note on incidence chromatic number of subquartic graphs. (English) Zbl 1397.05064 J. Comb. Optim. 34, No. 1, 174-181 (2017). Reviewer: Steve Noble (London) MSC: 05C15 PDFBibTeX XMLCite \textit{P. Gregor} et al., J. Comb. Optim. 34, No. 1, 174--181 (2017; Zbl 1397.05064) Full Text: DOI
Brešar, Boštjan Improving the Clark-Suen bound on the domination number of the Cartesian product of graphs. (English) Zbl 1367.05155 Discrete Math. 340, No. 10, 2398-2401 (2017). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{B. Brešar}, Discrete Math. 340, No. 10, 2398--2401 (2017; Zbl 1367.05155) Full Text: DOI
Zou, Qing Congruences from \(q\)-Catalan identities. (English) Zbl 1463.11061 Trans. Comb. 5, No. 4, 57-67 (2016). MSC: 11B65 11A07 05A10 05A19 PDFBibTeX XMLCite \textit{Q. Zou}, Trans. Comb. 5, No. 4, 57--67 (2016; Zbl 1463.11061) Full Text: DOI
Samotij, Wojciech; Sudakov, Benny The number of additive triples in subsets of abelian groups. (English) Zbl 1371.11030 Math. Proc. Camb. Philos. Soc. 160, No. 3, 495-512 (2016). MSC: 11B30 05C50 11B75 11P70 PDFBibTeX XMLCite \textit{W. Samotij} and \textit{B. Sudakov}, Math. Proc. Camb. Philos. Soc. 160, No. 3, 495--512 (2016; Zbl 1371.11030) Full Text: DOI arXiv
Lu, Changhong; Wang, Chao; Wang, Kan Upper bounds for the paired-domination numbers of graphs. (English) Zbl 1342.05102 Graphs Comb. 32, No. 4, 1489-1494 (2016). MSC: 05C69 05C70 PDFBibTeX XMLCite \textit{C. Lu} et al., Graphs Comb. 32, No. 4, 1489--1494 (2016; Zbl 1342.05102) Full Text: DOI
Bujtás, Csilla; Klavžar, Sandi Improved upper bounds on the domination number of graphs with minimum degree at least five. (English) Zbl 1339.05280 Graphs Comb. 32, No. 2, 511-519 (2016). MSC: 05C69 05C35 05C85 PDFBibTeX XMLCite \textit{C. Bujtás} and \textit{S. Klavžar}, Graphs Comb. 32, No. 2, 511--519 (2016; Zbl 1339.05280) Full Text: DOI arXiv Backlinks: MO
Brešar, Boštjan Vizing’s conjecture for graphs with domination number 3 – a new proof. (English) Zbl 1323.05099 Electron. J. Comb. 22, No. 3, Research Paper P3.38, 8 p. (2015). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{B. Brešar}, Electron. J. Comb. 22, No. 3, Research Paper P3.38, 8 p. (2015; Zbl 1323.05099) Full Text: Link
Blessing, David; Johnson, Katie; Mauretour, Christie; Insko, Erik On \((t,r)\) broadcast domination numbers of grids. (English) Zbl 1315.05098 Discrete Appl. Math. 187, 19-40 (2015). MSC: 05C69 05C12 PDFBibTeX XMLCite \textit{D. Blessing} et al., Discrete Appl. Math. 187, 19--40 (2015; Zbl 1315.05098) Full Text: DOI arXiv
Crevals, Simon; Östergård, Patric R. J. Independent domination of grids. (English) Zbl 1310.05158 Discrete Math. 338, No. 8, 1379-1384 (2015). MSC: 05C69 05C35 90C39 PDFBibTeX XMLCite \textit{S. Crevals} and \textit{P. R. J. Östergård}, Discrete Math. 338, No. 8, 1379--1384 (2015; Zbl 1310.05158) Full Text: DOI
Choudhary, K.; Margulies, S.; Hicks, I. V. Integer domination of Cartesian product graphs. (English) Zbl 1309.05151 Discrete Math. 338, No. 7, 1239-1242 (2015). MSC: 05C76 05C69 05C35 PDFBibTeX XMLCite \textit{K. Choudhary} et al., Discrete Math. 338, No. 7, 1239--1242 (2015; Zbl 1309.05151) Full Text: DOI arXiv
Dekar, Lyes; Effantin, Brice; Kheddouci, Hamamache \([r,s,t]\)-colorings of graph products. (English) Zbl 1298.05113 Graphs Comb. 30, No. 5, 1135-1147 (2014). MSC: 05C15 05C76 68R10 PDFBibTeX XMLCite \textit{L. Dekar} et al., Graphs Comb. 30, No. 5, 1135--1147 (2014; Zbl 1298.05113) Full Text: DOI
De Salvo, Mario; Fasino, Dario; Freni, Domenico; Lo Faro, Giovanni Fully simple semihypergroups, transitive digraphs, and sequence A000712. (English) Zbl 1309.20058 J. Algebra 415, 65-87 (2014). Reviewer: Bijan Davvaz (Yazd) MSC: 20N20 05A99 PDFBibTeX XMLCite \textit{M. De Salvo} et al., J. Algebra 415, 65--87 (2014; Zbl 1309.20058) Full Text: DOI
Georges, John; Lin, Jianwei; Mauro, David The domination number of \(K_n^3\). (English) Zbl 1305.05175 Discuss. Math., Graph Theory 34, No. 3, 629-632 (2014). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{J. Georges} et al., Discuss. Math., Graph Theory 34, No. 3, 629--632 (2014; Zbl 1305.05175) Full Text: DOI
Nandi, Mrinal; Parui, Subrata; Adhikari, Avishek Bounds on the size of the minimum dominating sets of some cylindrical grid graphs. (English) Zbl 1295.05178 Int. J. Comb. 2014, Article ID 348359, 13 p. (2014). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{M. Nandi} et al., Int. J. Comb. 2014, Article ID 348359, 13 p. (2014; Zbl 1295.05178) Full Text: DOI
Schultz, Andrew; Walker, Robert A generalization of the Gaussian formula and a \(q\)-analog of Fleck’s congruence. (English) Zbl 1364.11054 J. Number Theory 133, No. 11, 3717-3738 (2013). MSC: 11B65 11A07 05A30 PDFBibTeX XMLCite \textit{A. Schultz} and \textit{R. Walker}, J. Number Theory 133, No. 11, 3717--3738 (2013; Zbl 1364.11054) Full Text: DOI arXiv
Choudhary, K.; Margulies, S.; Hicks, I. V. A note on total and paired domination of Cartesian product graphs. (English) Zbl 1298.05245 Electron. J. Comb. 20, No. 3, Research Paper P25, 9 p. (2013). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{K. Choudhary} et al., Electron. J. Comb. 20, No. 3, Research Paper P25, 9 p. (2013; Zbl 1298.05245) Full Text: arXiv Link
Yero, Ismael G.; Rodríguez-Velázquez, Juan A.; Bermudo, Sergio Alliance free sets in Cartesian product graphs. (English) Zbl 1287.05129 Discrete Appl. Math. 161, No. 10-11, 1618-1625 (2013). MSC: 05C76 05C62 PDFBibTeX XMLCite \textit{I. G. Yero} et al., Discrete Appl. Math. 161, No. 10--11, 1618--1625 (2013; Zbl 1287.05129) Full Text: DOI arXiv
Brauch, Timothy; Horn, Paul; Jobson, Adam; Wildstrom, D. Jacob Stack domination density. (English) Zbl 1298.05243 Graphs Comb. 29, No. 6, 1689-1711 (2013). Reviewer: Ko-Wei Lih (Taipei) MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{T. Brauch} et al., Graphs Comb. 29, No. 6, 1689--1711 (2013; Zbl 1298.05243) Full Text: DOI
Fleischer, Rudolf; Yu, Jiajin A survey of the game “Lights Out!”. (English) Zbl 1395.91075 Brodnik, Andrej (ed.) et al., Space-efficient data structures, streams, and algorithms. Papers in honor of J. Ian Munro on the occasion of his 66th birthday. Berlin: Springer (ISBN 978-3-642-40272-2/pbk). Lecture Notes in Computer Science 8066, 176-198 (2013). MSC: 91A43 05C57 PDFBibTeX XMLCite \textit{R. Fleischer} and \textit{J. Yu}, Lect. Notes Comput. Sci. 8066, 176--198 (2013; Zbl 1395.91075) Full Text: DOI
Honold, Thomas; Kiermaier, Michael The existence of maximal \((q^2,2)\)-arcs in projective Hjelmslev planes over chain rings of length 2 and odd prime characteristic. (English) Zbl 1264.05023 Des. Codes Cryptography 68, No. 1-3, 105-126 (2013). MSC: 05B25 51C05 51E15 51E21 51E26 16P10 94B05 94B27 PDFBibTeX XMLCite \textit{T. Honold} and \textit{M. Kiermaier}, Des. Codes Cryptography 68, No. 1--3, 105--126 (2013; Zbl 1264.05023) Full Text: DOI
Hu, Futao; Xu, Jun-Ming Bondage number of mesh networks. (English) Zbl 1254.05075 Front. Math. China 7, No. 5, 813-826 (2012). MSC: 05C25 05C40 05C12 05C69 PDFBibTeX XMLCite \textit{F. Hu} and \textit{J.-M. Xu}, Front. Math. China 7, No. 5, 813--826 (2012; Zbl 1254.05075) Full Text: DOI
Pilipczuk, Marcin; Pilipczuk, Michał; Škrekovski, Riste Some results on Vizing’s conjecture and related problems. (English) Zbl 1251.05126 Discrete Appl. Math. 160, No. 16-17, 2484-2490 (2012). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{M. Pilipczuk} et al., Discrete Appl. Math. 160, No. 16--17, 2484--2490 (2012; Zbl 1251.05126) Full Text: DOI
Akman, Fusun; Sissokho, Papa Gaussian partitions. (English) Zbl 1248.05011 Ramanujan J. 28, No. 1, 125-138 (2012). MSC: 05A17 11P83 11P81 51E20 PDFBibTeX XMLCite \textit{F. Akman} and \textit{P. Sissokho}, Ramanujan J. 28, No. 1, 125--138 (2012; Zbl 1248.05011) Full Text: DOI
Tauraso, Roberto \(q\)-analogs of some congruences involving Catalan numbers. (English) Zbl 1270.11016 Adv. Appl. Math. 48, No. 5, 603-614 (2012). Reviewer: Romeo Meštrović (Kotor) MSC: 11B65 11A07 05A10 05A19 PDFBibTeX XMLCite \textit{R. Tauraso}, Adv. Appl. Math. 48, No. 5, 603--614 (2012; Zbl 1270.11016) Full Text: DOI arXiv
Brešar, Boštjan; Dorbec, Paul; Goddard, Wayne; Hartnell, Bert L.; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. Vizing’s conjecture: a survey and recent results. (English) Zbl 1234.05173 J. Graph Theory 69, No. 1-2, 46-76 (2012). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{B. Brešar} et al., J. Graph Theory 69, No. 1--2, 46--76 (2012; Zbl 1234.05173) Full Text: DOI
Budzban, G.; Feinsilver, Ph. The generalized road coloring problem and periodic digraphs. (English) Zbl 1242.05107 Appl. Algebra Eng. Commun. Comput. 22, No. 1, 21-35 (2011). MSC: 05C20 05C15 68R15 PDFBibTeX XMLCite \textit{G. Budzban} and \textit{Ph. Feinsilver}, Appl. Algebra Eng. Commun. Comput. 22, No. 1, 21--35 (2011; Zbl 1242.05107) Full Text: DOI arXiv
Nandi, Mrinal; Parui, Subrata; Adhikari, Avishek The domination numbers of cylindrical grid graphs. (English) Zbl 1223.05214 Appl. Math. Comput. 217, No. 10, 4879-4889 (2011). MSC: 05C69 05C70 PDFBibTeX XMLCite \textit{M. Nandi} et al., Appl. Math. Comput. 217, No. 10, 4879--4889 (2011; Zbl 1223.05214) Full Text: DOI
Zhang, Xindong; Liu, Juan; Chen, Xing; Meng, Jixiang Domination number of Cartesian products of directed cycles. (English) Zbl 1259.05134 Inf. Process. Lett. 111, No. 1, 36-39 (2010). MSC: 05C69 05C20 05C38 05C76 PDFBibTeX XMLCite \textit{X. Zhang} et al., Inf. Process. Lett. 111, No. 1, 36--39 (2010; Zbl 1259.05134) Full Text: DOI
Coskun, Hasan Multiple analogues of binomial coefficients and families of related special numbers. (English) Zbl 1209.05006 Discrete Math. 310, No. 17-18, 2280-2298 (2010). MSC: 05A10 05A17 05A30 05D15 PDFBibTeX XMLCite \textit{H. Coskun}, Discrete Math. 310, No. 17--18, 2280--2298 (2010; Zbl 1209.05006) Full Text: DOI arXiv
Liu, Juan; Zhang, Xindong; Chen, Xing; Meng, Jixiang On domination number of Cartesian product of directed cycles. (English) Zbl 1197.05111 Inf. Process. Lett. 110, No. 5, 171-173 (2010). MSC: 05C69 05C76 05C20 PDFBibTeX XMLCite \textit{J. Liu} et al., Inf. Process. Lett. 110, No. 5, 171--173 (2010; Zbl 1197.05111) Full Text: DOI
Aouchiche, M.; Hansen, P.; Stevanović, D. A sharp upper bound on algebraic connectivity using domination number. (English) Zbl 1195.05035 Linear Algebra Appl. 432, No. 11, 2879-2893 (2010). MSC: 05C35 05C50 PDFBibTeX XMLCite \textit{M. Aouchiche} et al., Linear Algebra Appl. 432, No. 11, 2879--2893 (2010; Zbl 1195.05035) Full Text: DOI
El-Zanati, S.; Jordon, H.; Seelinger, G.; Sissokho, P.; Spence, L. The maximum size of a partial 3-spread in a finite vector space over \(\mathrm{GF}(2)\). (English) Zbl 1200.51008 Des. Codes Cryptography 54, No. 2, 101-107 (2010). Reviewer: Basri Çelik (Nilüfer-Bursa) MSC: 51E14 05B40 05B15 11T71 PDFBibTeX XMLCite \textit{S. El-Zanati} et al., Des. Codes Cryptography 54, No. 2, 101--107 (2010; Zbl 1200.51008) Full Text: DOI
Li, Ning; Hou, Xinmin On the total \(\{k\}\)-domination number of Cartesian products of graphs. (English) Zbl 1193.05128 J. Comb. Optim. 18, No. 2, 173-178 (2009). MSC: 05C69 PDFBibTeX XMLCite \textit{N. Li} and \textit{X. Hou}, J. Comb. Optim. 18, No. 2, 173--178 (2009; Zbl 1193.05128) Full Text: DOI
Hou, Xinmin; Lu, You On the \(\{k\}\)-domination number of Cartesian products of graphs. (English) Zbl 1189.05132 Discrete Math. 309, No. 10, 3413-3419 (2009). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{X. Hou} and \textit{Y. Lu}, Discrete Math. 309, No. 10, 3413--3419 (2009; Zbl 1189.05132) Full Text: DOI
Fu, Xueliang; Yang, Yuansheng; Jiang, Baoqi On the domination number of generalized petersen graphs \(P(n,2)\). (English) Zbl 1211.05112 Discrete Math. 309, No. 8, 2445-2451 (2009). MSC: 05C69 PDFBibTeX XMLCite \textit{X. Fu} et al., Discrete Math. 309, No. 8, 2445--2451 (2009; Zbl 1211.05112) Full Text: DOI
Aharoni, Ron; Szabó, Tibor Vizing’s conjecture for chordal graphs. (English) Zbl 1211.05098 Discrete Math. 309, No. 6, 1766-1768 (2009). MSC: 05C69 PDFBibTeX XMLCite \textit{R. Aharoni} and \textit{T. Szabó}, Discrete Math. 309, No. 6, 1766--1768 (2009; Zbl 1211.05098) Full Text: DOI
Brešar, Boštjan; Rall, Douglas F. Fair reception and Vizing’s conjecture. (English) Zbl 1179.05080 J. Graph Theory 61, No. 1, 45-54 (2009). MSC: 05C69 PDFBibTeX XMLCite \textit{B. Brešar} and \textit{D. F. Rall}, J. Graph Theory 61, No. 1, 45--54 (2009; Zbl 1179.05080) Full Text: DOI
Zhou, Sanming Minimum partition of an independence system into independent sets. (English) Zbl 1160.90682 Discrete Optim. 6, No. 1, 125-133 (2009). MSC: 90C35 05C15 05C69 90C27 PDFBibTeX XMLCite \textit{S. Zhou}, Discrete Optim. 6, No. 1, 125--133 (2009; Zbl 1160.90682) Full Text: DOI
Blinco, A. D.; El-Zanati, S. I.; Seelinger, G. F.; Sissokho, P. A.; Spence, L. E.; Vanden Eynden, C. On vector space partitions and uniformly resolvable designs. (English) Zbl 1184.15002 Des. Codes Cryptography 48, No. 1, 69-77 (2008). MSC: 15A03 05B05 05B25 PDFBibTeX XMLCite \textit{A. D. Blinco} et al., Des. Codes Cryptography 48, No. 1, 69--77 (2008; Zbl 1184.15002) Full Text: DOI
Xing, Hua-Ming; Hattingh, Johannes H.; Plummer, Andrew R. On the domination number of Hamiltonian graphs with minimum degree six. (English) Zbl 1160.05326 Appl. Math. Lett. 21, No. 10, 1037-1040 (2008). MSC: 05C69 05C45 PDFBibTeX XMLCite \textit{H.-M. Xing} et al., Appl. Math. Lett. 21, No. 10, 1037--1040 (2008; Zbl 1160.05326) Full Text: DOI Backlinks: MO
Dorbec, Paul; Henning, Michael A.; Rall, Douglas F. On the upper total domination number of Cartesian products of graphs. (English) Zbl 1157.05042 J. Comb. Optim. 16, No. 1, 68-80 (2008). MSC: 05C69 PDFBibTeX XMLCite \textit{P. Dorbec} et al., J. Comb. Optim. 16, No. 1, 68--80 (2008; Zbl 1157.05042) Full Text: DOI
Hamburger, Peter; Vandell, Robert; Walsh, Matt Routing sets in the integer lattice. (English) Zbl 1119.05088 Discrete Appl. Math. 155, No. 11, 1384-1394 (2007). MSC: 05C70 05C69 PDFBibTeX XMLCite \textit{P. Hamburger} et al., Discrete Appl. Math. 155, No. 11, 1384--1394 (2007; Zbl 1119.05088) Full Text: DOI
El-Zahar, M. H.; Khamis, S. M.; Nazzal, Kh. M. On the domination number of the Cartesian product of the cycle of length \(n\) and any graph. (English) Zbl 1112.05074 Discrete Appl. Math. 155, No. 4, 515-522 (2007). Reviewer: Van Bang Le (Rostock) MSC: 05C69 PDFBibTeX XMLCite \textit{M. H. El-Zahar} et al., Discrete Appl. Math. 155, No. 4, 515--522 (2007; Zbl 1112.05074) Full Text: DOI
Van Wieren, Douglas M. Critical cyclic patterns related to the domination number of the torus. (English) Zbl 1119.05084 Discrete Math. 307, No. 3-5, 615-632 (2007). Reviewer: Haiko Müller (Leeds) MSC: 05C69 68R10 PDFBibTeX XMLCite \textit{D. M. Van Wieren}, Discrete Math. 307, No. 3--5, 615--632 (2007; Zbl 1119.05084) Full Text: DOI
Pan, Hao; Cao, Hui-Qin A congruence involving products of \(q\)-binomial coefficients. (English) Zbl 1135.11003 J. Number Theory 121, No. 2, 224-233 (2006). Reviewer: Sun Zhi-Wei (Nanjing) MSC: 11A07 05A30 11B65 PDFBibTeX XMLCite \textit{H. Pan} and \textit{H.-Q. Cao}, J. Number Theory 121, No. 2, 224--233 (2006; Zbl 1135.11003) Full Text: DOI arXiv
Zmazek, Blaž; Žerovnik, Janez On domination numbers of graphs bundles. (English) Zbl 1110.05079 J. Appl. Math. Comput. 22, No. 1-2, 39-48 (2006). Reviewer: Van Bang Le (Rostock) MSC: 05C69 05C62 PDFBibTeX XMLCite \textit{B. Zmazek} and \textit{J. Žerovnik}, J. Appl. Math. Comput. 22, No. 1--2, 39--48 (2006; Zbl 1110.05079) Full Text: DOI
Xing, Huaming; Sun, Liang; Chen, Xuegang Domination in graphs of minimum degree five. (English) Zbl 1091.05054 Graphs Comb. 22, No. 1, 127-143 (2006). MSC: 05C69 PDFBibTeX XMLCite \textit{H. Xing} et al., Graphs Comb. 22, No. 1, 127--143 (2006; Zbl 1091.05054) Full Text: DOI
Dorfling, Michael; Henning, Michael A. A note on power domination in grid graphs. (English) Zbl 1090.05054 Discrete Appl. Math. 154, No. 6, 1023-1027 (2006). MSC: 05C69 PDFBibTeX XMLCite \textit{M. Dorfling} and \textit{M. A. Henning}, Discrete Appl. Math. 154, No. 6, 1023--1027 (2006; Zbl 1090.05054) Full Text: DOI
Brešar, Boštjan; Henning, Michael A.; Rall, Douglas F. Paired-domination of Cartesian products of graphs and rainbow domination. (English) Zbl 1200.05154 Raspaud, André (ed.) et al., 7th international colloquium on graph theory, Hyeres, France, September 12–16, 2005. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 22, 233-237 (2005). MSC: 05C69 05C76 05C15 PDFBibTeX XMLCite \textit{B. Brešar} et al., Electron. Notes Discrete Math. 22, 233--237 (2005; Zbl 1200.05154) Full Text: DOI
Maydanskiy, Maksim The incidence coloring conjecture for graphs of maximum degree 3. (English) Zbl 1059.05051 Discrete Math. 292, No. 1-3, 131-141 (2005). MSC: 05C15 PDFBibTeX XMLCite \textit{M. Maydanskiy}, Discrete Math. 292, No. 1--3, 131--141 (2005; Zbl 1059.05051) Full Text: DOI arXiv
Chen, Ya-Chen Triangle-free Hamiltonian Kneser graphs. (English) Zbl 1030.05069 J. Comb. Theory, Ser. B 89, No. 1, 1-16 (2003). MSC: 05C45 05D05 05C38 PDFBibTeX XMLCite \textit{Y.-C. Chen}, J. Comb. Theory, Ser. B 89, No. 1, 1--16 (2003; Zbl 1030.05069) Full Text: DOI
Hou, Xiang-Dong Rings and constructions of partial difference sets. (English) Zbl 1022.05010 Discrete Math. 270, No. 1-3, 149-176 (2003). Reviewer: Giovanni Ferrero (Parma) MSC: 05B10 16L60 16D50 16D70 PDFBibTeX XMLCite \textit{X.-D. Hou}, Discrete Math. 270, No. 1--3, 149--176 (2003; Zbl 1022.05010) Full Text: DOI
Lev, Vsevolod F. Generating binary spaces. (English) Zbl 1071.11014 J. Comb. Theory, Ser. A 102, No. 1, 94-109 (2003). Reviewer: Péter L. Erdős (Budapest) MSC: 11B75 05D05 94B05 PDFBibTeX XMLCite \textit{V. F. Lev}, J. Comb. Theory, Ser. A 102, No. 1, 94--109 (2003; Zbl 1071.11014) Full Text: DOI
Haas, Ruth; Wexler, Thomas B. Bounds on the signed domination number of a graph. (English) Zbl 1075.05577 Alavi, Yousef (ed.) et al., Papers of the 9th quadrennial international conference on graph theory, combinatorics, algorithms, and applications, Kalamazoo, MI, USA, June 4–9, 2000. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 11, 742-750 (2002). MSC: 05C69 PDFBibTeX XMLCite \textit{R. Haas} and \textit{T. B. Wexler}, Electron. Notes Discrete Math. 11, 742--750 (2002; Zbl 1075.05577) Full Text: Link
Lev, Vsevolod F. Three-fold restricted set addition in groups. (English) Zbl 1036.20047 Eur. J. Comb. 23, No. 5, 613-617 (2002). MSC: 20K01 11B75 20D60 05D05 PDFBibTeX XMLCite \textit{V. F. Lev}, Eur. J. Comb. 23, No. 5, 613--617 (2002; Zbl 1036.20047) Full Text: DOI Link
Gravier, Sylvain Total domination number of grid graphs. (English) Zbl 0995.05109 Discrete Appl. Math. 121, No. 1-3, 119-128 (2002). Reviewer: Lutz Volkmann (Aachen) MSC: 05C69 PDFBibTeX XMLCite \textit{S. Gravier}, Discrete Appl. Math. 121, No. 1--3, 119--128 (2002; Zbl 0995.05109) Full Text: DOI
Chen, Ya-Chen Kneser graphs are Hamiltonian for \(n\geq 3k\). (English) Zbl 1024.05055 J. Comb. Theory, Ser. B 80, No. 1, 69-79 (2000). Reviewer: Ya-Chen Chen (Urbana) MSC: 05C45 05C38 PDFBibTeX XMLCite \textit{Y.-C. Chen}, J. Comb. Theory, Ser. B 80, No. 1, 69--79 (2000; Zbl 1024.05055) Full Text: DOI
Andrews, George E. \(q\)-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher. (English) Zbl 0937.05014 Discrete Math. 204, No. 1-3, 15-25 (1999). Reviewer: Ian Anderson (Glasgow) MSC: 05A30 05A10 PDFBibTeX XMLCite \textit{G. E. Andrews}, Discrete Math. 204, No. 1--3, 15--25 (1999; Zbl 0937.05014) Full Text: DOI
Chérifi, Rachid; Gravier, Sylvain; Lagraula, Xavier; Payan, Charles; Zighem, Ismail Domination number of the cross product of paths. (English) Zbl 0923.05031 Discrete Appl. Math. 94, No. 1-3, 101-139 (1999). Reviewer: W.G.Brown (Montreal) MSC: 05C35 05C38 05C85 PDFBibTeX XMLCite \textit{R. Chérifi} et al., Discrete Appl. Math. 94, No. 1--3, 101--139 (1999; Zbl 0923.05031) Full Text: DOI
Favaron, Odile; Puech, Joël Irredundance in grids. (English) Zbl 0887.05026 Discrete Math. 179, No. 1-3, 257-265 (1998). Reviewer: W.G.Brown (Montreal) MSC: 05C35 PDFBibTeX XMLCite \textit{O. Favaron} and \textit{J. Puech}, Discrete Math. 179, No. 1--3, 257--265 (1998; Zbl 0887.05026) Full Text: DOI
Gravier, Sylvain; Mollard, Michel On domination numbers of Cartesian products of paths. (English) Zbl 0898.05040 Discrete Appl. Math. 80, No. 2-3, 247-250 (1997). Reviewer: B.Zelinka (Liberec) MSC: 05C35 05C38 PDFBibTeX XMLCite \textit{S. Gravier} and \textit{M. Mollard}, Discrete Appl. Math. 80, No. 2--3, 247--250 (1997; Zbl 0898.05040) Full Text: DOI Link
Klavžar, Sandi; Zmazek, Blaž On a Vizing-like conjecture for direct product graphs. (English) Zbl 0856.05054 Discrete Math. 156, No. 1-3, 243-246 (1996). Reviewer: B.Zelinka (Liberec) MSC: 05C35 PDFBibTeX XMLCite \textit{S. Klavžar} and \textit{B. Zmazek}, Discrete Math. 156, No. 1--3, 243--246 (1996; Zbl 0856.05054) Full Text: DOI