Kanesh, Lawqueen; Madathil, Jayakrishnan; Roy, Sanjukta; Sahu, Abhishek; Saurabh, Saket Further exploiting \(c\)-closure for FPT algorithms and kernels for domination problems. (English) Zbl 1527.05135 SIAM J. Discrete Math. 37, No. 4, 2626-2669 (2023). MSC: 05C69 05C40 05C85 68W01 68Q25 PDFBibTeX XMLCite \textit{L. Kanesh} et al., SIAM J. Discrete Math. 37, No. 4, 2626--2669 (2023; Zbl 1527.05135) Full Text: DOI
Pulaj, Jonad Characterizing 3-sets in union-closed families. (English) Zbl 1517.05171 Exp. Math. 32, No. 2, 350-361 (2023). MSC: 05D05 90C10 PDFBibTeX XMLCite \textit{J. Pulaj}, Exp. Math. 32, No. 2, 350--361 (2023; Zbl 1517.05171) Full Text: DOI arXiv
Grech, Mariusz; Kisielewicz, Andrzej Orbit closed permutation groups, relation groups, and simple groups. (English) Zbl 1522.20006 J. Algebr. Comb. 57, No. 4, 1045-1072 (2023). Reviewer: Volkmar Welker (Marburg) MSC: 20B05 20B25 05E16 20E32 PDFBibTeX XMLCite \textit{M. Grech} and \textit{A. Kisielewicz}, J. Algebr. Comb. 57, No. 4, 1045--1072 (2023; Zbl 1522.20006) Full Text: DOI
Hu, Yining On the union-closed sets conjecture. (English) Zbl 1515.05178 Discrete Math. 346, No. 8, Article ID 113430, 6 p. (2023). MSC: 05D05 05A05 PDFBibTeX XMLCite \textit{Y. Hu}, Discrete Math. 346, No. 8, Article ID 113430, 6 p. (2023; Zbl 1515.05178) Full Text: DOI arXiv
Ellis, David; Leader, Imre; Ivan, Maria-Romina Small sets in union-closed families. (English) Zbl 1506.05204 Electron. J. Comb. 30, No. 1, Research Paper P1.8, 6 p. (2023). MSC: 05D05 PDFBibTeX XMLCite \textit{D. Ellis} et al., Electron. J. Comb. 30, No. 1, Research Paper P1.8, 6 p. (2023; Zbl 1506.05204) Full Text: DOI arXiv
Nishii, Yasuo Approximation of Frankl’s conjecture in the complement family. (English) Zbl 1512.05384 J. Comb. 14, No. 3, 399-403 (2023). Reviewer: Peter Borg (Malta) MSC: 05D05 PDFBibTeX XMLCite \textit{Y. Nishii}, J. Comb. 14, No. 3, 399--403 (2023; Zbl 1512.05384) Full Text: DOI
Raksha, M. R.; Dominic, Charles Some properties of the closed global shadow graphs and their zero forcing number. (English) Zbl 1495.05034 Acta Univ. Sapientiae, Inform. 14, No. 1, 137-154 (2022). MSC: 05C07 05C38 05C50 05C69 PDFBibTeX XMLCite \textit{M. R. Raksha} and \textit{C. Dominic}, Acta Univ. Sapientiae, Inform. 14, No. 1, 137--154 (2022; Zbl 1495.05034) Full Text: DOI
Głąb, Szymon; Gordinowicz, Przemyław On \(n\)-saturated closed graphs. (English) Zbl 1494.05078 Result. Math. 77, No. 5, Paper No. 184, 6 p. (2022). MSC: 05C63 05C60 05C10 03E15 PDFBibTeX XMLCite \textit{S. Głąb} and \textit{P. Gordinowicz}, Result. Math. 77, No. 5, Paper No. 184, 6 p. (2022; Zbl 1494.05078) Full Text: DOI arXiv
Borg, Peter; Fenech, Kurt; Kaemawichanurat, Pawaton Isolation of \(k\)-cliques. II. (English) Zbl 1489.05109 Discrete Math. 345, No. 7, Article ID 112641, 8 p. (2022). MSC: 05C69 PDFBibTeX XMLCite \textit{P. Borg} et al., Discrete Math. 345, No. 7, Article ID 112641, 8 p. (2022; Zbl 1489.05109) Full Text: DOI
Ellis, David Union-closed families with small average overlap densities. (English) Zbl 1481.05151 Electron. J. Comb. 29, No. 1, Research Paper P1.11, 5 p. (2022). MSC: 05D05 PDFBibTeX XMLCite \textit{D. Ellis}, Electron. J. Comb. 29, No. 1, Research Paper P1.11, 5 p. (2022; Zbl 1481.05151) Full Text: DOI arXiv
Rautenbach, Dieter; Redl, Johannes Reconfiguring dominating sets in minor-closed graph classes. (English) Zbl 1479.05285 Graphs Comb. 37, No. 6, 2191-2205 (2021). Reviewer: Saeid Alikhani (Yazd) MSC: 05C69 05C83 PDFBibTeX XMLCite \textit{D. Rautenbach} and \textit{J. Redl}, Graphs Comb. 37, No. 6, 2191--2205 (2021; Zbl 1479.05285) Full Text: DOI arXiv
Studer, Luca An asymptotic version of Frankl’s conjecture. (English) Zbl 1470.05159 Am. Math. Mon. 128, No. 7, 652-654 (2021). MSC: 05D05 05A20 05C35 PDFBibTeX XMLCite \textit{L. Studer}, Am. Math. Mon. 128, No. 7, 652--654 (2021; Zbl 1470.05159) Full Text: DOI
Aaronson, James; Ellis, David; Leader, Imre A note on transitive union-closed families. (English) Zbl 1461.05230 Electron. J. Comb. 28, No. 2, Research Paper P2.3, 4 p. (2021). MSC: 05D05 PDFBibTeX XMLCite \textit{J. Aaronson} et al., Electron. J. Comb. 28, No. 2, Research Paper P2.3, 4 p. (2021; Zbl 1461.05230) Full Text: DOI arXiv
Boros, Endre; Gurvich, Vladimir; Milanič, Martin Characterizing and decomposing classes of threshold, split, and bipartite graphs via 1-Sperner hypergraphs. (English) Zbl 1485.05121 J. Graph Theory 94, No. 3, 364-397 (2020). MSC: 05C65 05C70 05C69 PDFBibTeX XMLCite \textit{E. Boros} et al., J. Graph Theory 94, No. 3, 364--397 (2020; Zbl 1485.05121) Full Text: DOI
Borg, Peter; Fenech, Kurt; Kaemawichanurat, Pawaton Isolation of \(k\)-cliques. (English) Zbl 1440.05157 Discrete Math. 343, No. 7, Article ID 111879, 4 p. (2020). MSC: 05C69 PDFBibTeX XMLCite \textit{P. Borg} et al., Discrete Math. 343, No. 7, Article ID 111879, 4 p. (2020; Zbl 1440.05157) Full Text: DOI arXiv
Matayoshi, Jeffrey Well-graded families and the union-closed sets conjecture. (English) Zbl 1507.05096 Electron. J. Comb. 27, No. 1, Research Paper P1.64, 18 p. (2020). MSC: 05D05 06A07 PDFBibTeX XMLCite \textit{J. Matayoshi}, Electron. J. Comb. 27, No. 1, Research Paper P1.64, 18 p. (2020; Zbl 1507.05096) Full Text: DOI Link
Pulaj, Jonad Cutting planes for families implying Frankl’s conjecture. (English) Zbl 1429.05199 Math. Comput. 89, No. 322, 829-857 (2020). MSC: 05D05 90C10 PDFBibTeX XMLCite \textit{J. Pulaj}, Math. Comput. 89, No. 322, 829--857 (2020; Zbl 1429.05199) Full Text: DOI arXiv
Cauntongan, Omar I.; Aniversario, Imelda S. Path-induced closed geodetic numbers of some graphs. (English) Zbl 1495.05070 Adv. Appl. Discrete Math. 22, No. 1, 41-53 (2019). MSC: 05C12 05C10 PDFBibTeX XMLCite \textit{O. I. Cauntongan} and \textit{I. S. Aniversario}, Adv. Appl. Discrete Math. 22, No. 1, 41--53 (2019; Zbl 1495.05070) Full Text: DOI
Ronse, Christian; Mazo, Loic; Tajine, Mohamed Correspondence between topological and discrete connectivities in Hausdorff discretization. (English) Zbl 1469.68148 Math. Morphol., Theory Appl. 3, 1-28 (2019). MSC: 68U05 05C40 54E35 68U03 PDFBibTeX XMLCite \textit{C. Ronse} et al., Math. Morphol., Theory Appl. 3, 1--28 (2019; Zbl 1469.68148) Full Text: DOI
Chen, Guantao; van der Holst, Hein; Kostochka, Alexandr; Li, Nana Extremal union-closed set families. (English) Zbl 1431.05141 Graphs Comb. 35, No. 6, 1495-1502 (2019). MSC: 05D05 PDFBibTeX XMLCite \textit{G. Chen} et al., Graphs Comb. 35, No. 6, 1495--1502 (2019; Zbl 1431.05141) Full Text: DOI
Marzougui, Habib; Naghmouchi, Issam Minimal sets and orbit spaces for group actions on local dendrites. (English) Zbl 1436.37011 Math. Z. 293, No. 3-4, 1057-1070 (2019). MSC: 37B02 37B45 37E25 54F50 05E18 PDFBibTeX XMLCite \textit{H. Marzougui} and \textit{I. Naghmouchi}, Math. Z. 293, No. 3--4, 1057--1070 (2019; Zbl 1436.37011) Full Text: DOI arXiv
Joshi, Vinayak; Waphare, Baloo Frankl’s conjecture for a subclass of semimodular lattices. (English) Zbl 1468.06003 Categ. Gen. Algebr. Struct. Appl. 11, No. 1, 197-206 (2019). MSC: 06A07 06C10 05D05 PDFBibTeX XMLCite \textit{V. Joshi} and \textit{B. Waphare}, Categ. Gen. Algebr. Struct. Appl. 11, No. 1, 197--206 (2019; Zbl 1468.06003) Full Text: Link
Padma, M. M.; Jayalakshmi, M. On classes of rational resolving sets of derived graphs of a path. (English) Zbl 1423.05075 Far East J. Math. Sci. (FJMS) 110, No. 2, 247-259 (2019). MSC: 05C20 PDFBibTeX XMLCite \textit{M. M. Padma} and \textit{M. Jayalakshmi}, Far East J. Math. Sci. (FJMS) 110, No. 2, 247--259 (2019; Zbl 1423.05075) Full Text: DOI
Wu, Deyin The induced set function from fuzzy matroids. (Chinese. English summary) Zbl 1463.05045 Fuzzy Syst. Math. 33, No. 1, 1-11 (2019). MSC: 05B35 PDFBibTeX XMLCite \textit{D. Wu}, Fuzzy Syst. Math. 33, No. 1, 1--11 (2019; Zbl 1463.05045)
Marigo, Francesco; Schipani, Davide Remarks on Frankl’s conjecture. (English) Zbl 1442.05230 J. Comb. Number Theory 10, No. 2, 127-135 (2018). MSC: 05D05 06A07 PDFBibTeX XMLCite \textit{F. Marigo} and \textit{D. Schipani}, J. Comb. Number Theory 10, No. 2, 127--135 (2018; Zbl 1442.05230) Full Text: arXiv
Hore, Ankush A lower bound for the minimal counter-example to Frankl’s conjecture. (English) Zbl 1405.05183 Australas. J. Comb. 72, Part 2, 350-356 (2018). MSC: 05D05 PDFBibTeX XMLCite \textit{A. Hore}, Australas. J. Comb. 72, Part 2, 350--356 (2018; Zbl 1405.05183) Full Text: Link
Soukup, Dániel T.; Soukup, Lajos Infinite combinatorics plain and simple. (English) Zbl 1439.03083 J. Symb. Log. 83, No. 3, 1247-1281 (2018). Reviewer: Martin Weese (Potsdam) MSC: 03E05 03C98 05C63 03E35 54A35 PDFBibTeX XMLCite \textit{D. T. Soukup} and \textit{L. Soukup}, J. Symb. Log. 83, No. 3, 1247--1281 (2018; Zbl 1439.03083) Full Text: DOI arXiv Link
Bazin, Alexandre A depth-first search algorithm for computing pseudo-closed sets. (English) Zbl 1397.05013 Discrete Appl. Math. 249, 28-35 (2018). MSC: 05A15 06A15 68T20 68T30 PDFBibTeX XMLCite \textit{A. Bazin}, Discrete Appl. Math. 249, 28--35 (2018; Zbl 1397.05013) Full Text: DOI HAL
Brinkmann, Gunnar; Deklerck, Robin Generation of union-closed sets and Moore families. (English) Zbl 1384.05015 J. Integer Seq. 21, No. 1, Article 18.1.7, 9 p. (2018). MSC: 05A15 05-04 PDFBibTeX XMLCite \textit{G. Brinkmann} and \textit{R. Deklerck}, J. Integer Seq. 21, No. 1, Article 18.1.7, 9 p. (2018; Zbl 1384.05015) Full Text: arXiv Link
Campbell, John A class of symmetric difference-closed sets related to commuting involutions. (English) Zbl 1400.05249 Discrete Math. Theor. Comput. Sci. 19, No. 1, Paper No. 8, 17 p. (2017). MSC: 05D05 05A05 PDFBibTeX XMLCite \textit{J. Campbell}, Discrete Math. Theor. Comput. Sci. 19, No. 1, Paper No. 8, 17 p. (2017; Zbl 1400.05249) Full Text: Link
Tratnik, Niko; Pleteršek, Petra Žigert Saturation number of nanotubes. (English) Zbl 1377.92108 Ars Math. Contemp. 12, No. 2, 337-350 (2017). MSC: 92E10 05C69 PDFBibTeX XMLCite \textit{N. Tratnik} and \textit{P. Ž. Pleteršek}, Ars Math. Contemp. 12, No. 2, 337--350 (2017; Zbl 1377.92108) Full Text: DOI
Padma, M. M.; Jayalakshmi, M. Boundary values of \(r_r,r_r^*,R_r,R_r^*\) sets of certain classes of graphs. (English) Zbl 1368.05060 Theor. Math. Appl. 7, No. 1, 29-39 (2017). MSC: 05C20 PDFBibTeX XMLCite \textit{M. M. Padma} and \textit{M. Jayalakshmi}, Theor. Math. Appl. 7, No. 1, 29--39 (2017; Zbl 1368.05060)
Maßberg, Jens The union-closed sets conjecture for small families. (English) Zbl 1440.05192 Graphs Comb. 32, No. 5, 2047-2051 (2016). MSC: 05D05 05C35 PDFBibTeX XMLCite \textit{J. Maßberg}, Graphs Comb. 32, No. 5, 2047--2051 (2016; Zbl 1440.05192) Full Text: DOI arXiv
Joshi, Vinayak; Waphare, B. N.; Kavishwar, S. P. A proof of Frankl’s union-closed sets conjecture for dismantlable lattices. (English) Zbl 1356.06003 Algebra Univers. 76, No. 3, 351-354 (2016). Reviewer: David B. Penman (Colchester) MSC: 06A07 05D05 PDFBibTeX XMLCite \textit{V. Joshi} et al., Algebra Univers. 76, No. 3, 351--354 (2016; Zbl 1356.06003) Full Text: DOI
Pulaj, Jonad; Raymond, Annie; Theis, Dirk New conjectures for union-closed families. (English) Zbl 1412.05193 Electron. J. Comb. 23, No. 3, Research Paper P3.23, 19 p. (2016). MSC: 05D05 90C10 PDFBibTeX XMLCite \textit{J. Pulaj} et al., Electron. J. Comb. 23, No. 3, Research Paper P3.23, 19 p. (2016; Zbl 1412.05193) Full Text: arXiv
Liu, Tian; Xu, Ke Union closed tree convex sets. (English) Zbl 1408.05133 Wang, Jianxin (ed.) et al., Frontiers in algorithmics. 9th international workshop, FAW 2015, Guilin, China, July 3–5, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9130, 198-203 (2015). MSC: 05D05 05C65 PDFBibTeX XMLCite \textit{T. Liu} and \textit{K. Xu}, Lect. Notes Comput. Sci. 9130, 198--203 (2015; Zbl 1408.05133) Full Text: DOI
Gamble, Greg; Simpson, Jamie Symmetric difference-free and symmetric difference-closed collections of sets. (English) Zbl 1306.05240 Graphs Comb. 31, No. 1, 127-130 (2015). MSC: 05D05 05A15 PDFBibTeX XMLCite \textit{G. Gamble} and \textit{J. Simpson}, Graphs Comb. 31, No. 1, 127--130 (2015; Zbl 1306.05240) Full Text: DOI
Santocanale, Luigi; Wehrung, Friedrich Lattices of regular closed subsets of closure spaces. (English) Zbl 1404.06006 Int. J. Algebra Comput. 24, No. 7, 969-1030 (2014). MSC: 06A15 05C40 05C63 05C05 06A12 06B23 06B25 20F55 PDFBibTeX XMLCite \textit{L. Santocanale} and \textit{F. Wehrung}, Int. J. Algebra Comput. 24, No. 7, 969--1030 (2014; Zbl 1404.06006) Full Text: DOI arXiv
Balister, Paul; Bollobás, Béla Random union-closed families. (English) Zbl 1301.05307 Pintz, János (ed.) et al., Number theory, analysis, and combinatorics. Proceedings of the Paul Turán memorial conference, Budapest, Hungary, August 22–26, 2011. Berlin: De Gruyter (ISBN 978-3-11-028242-9/ebook; 978-3-11-028237-5/hbk). De Gruyter Proceedings in Mathematics, 1-9 (2014). MSC: 05C80 05D05 PDFBibTeX XMLCite \textit{P. Balister} and \textit{B. Bollobás}, in: Number theory, analysis, and combinatorics. Proceedings of the Paul Turán memorial conference, Budapest, Hungary, August 22--26, 2011. Berlin: De Gruyter. 1--9 (2014; Zbl 1301.05307)
Wenzel, Walter On Zariski topologies and algebraic combinatorics. (English) Zbl 1313.14010 Math. Pannonica 24, No. 2, 211-220 (2013). MSC: 14T05 08A72 13F20 14A10 05B30 06A11 PDFBibTeX XMLCite \textit{W. Wenzel}, Math. Pannonica 24, No. 2, 211--220 (2013; Zbl 1313.14010)
Bruhn, Henning; Schaudt, Oliver The union-closed sets conjecture almost holds for almost all random bipartite graphs. (English) Zbl 1293.05352 Nešetřil, Jaroslav (ed.) et al., The seventh European conference on combinatorics, graph theory and applications. Extended abstracts of EuroComb 2013, Pisa, Italy, September 9–13, 2013. Pisa: Edizioni della Normale (ISBN 978-88-7642-474-8/pbk; 978-88-7642-475-5/ebook). Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series 16, 79-84 (2013). MSC: 05C80 05C35 05C69 05D05 PDFBibTeX XMLCite \textit{H. Bruhn} and \textit{O. Schaudt}, CRM Ser. 16, 79--84 (2013; Zbl 1293.05352) Full Text: arXiv
Balla, Igor; Bollobás, Béla; Eccles, Tom Union-closed families of sets. (English) Zbl 1259.05177 J. Comb. Theory, Ser. A 120, No. 3, 531-544 (2013). MSC: 05D05 PDFBibTeX XMLCite \textit{I. Balla} et al., J. Comb. Theory, Ser. A 120, No. 3, 531--544 (2013; Zbl 1259.05177) Full Text: DOI
Peng, Yuejian; Sissokho, Papa; Zhao, Cheng An extremal problern for set families generated with the union and symmetric difference operations. (English) Zbl 1274.05471 J. Comb. 3, No. 4, 651-668 (2012). MSC: 05D05 PDFBibTeX XMLCite \textit{Y. Peng} et al., J. Comb. 3, No. 4, 651--668 (2012; Zbl 1274.05471) Full Text: DOI
Tacbobo, Teresa L.; Jamil, Ferdinand P. Closed domination in graphs. (English) Zbl 1255.05141 Int. Math. Forum 7, No. 49-52, 2509-2518 (2012). MSC: 05C69 PDFBibTeX XMLCite \textit{T. L. Tacbobo} and \textit{F. P. Jamil}, Int. Math. Forum 7, No. 49--52, 2509--2518 (2012; Zbl 1255.05141) Full Text: Link
Dyer, Danny; Milley, Rebecca A time-constrained variation of the watchman’s walk problem. (English) Zbl 1256.05167 Australas. J. Comb. 53, 97-108 (2012). MSC: 05C69 05C82 05C05 90C35 PDFBibTeX XMLCite \textit{D. Dyer} and \textit{R. Milley}, Australas. J. Comb. 53, 97--108 (2012; Zbl 1256.05167) Full Text: Link
Jamil, Ferdinand P.; Canoy, Sergio R. jun.; Marohombsar, Salma N. Closed monophonic and minimal closed monophonic numbers of a graph. (English) Zbl 1265.05187 Ars Comb. 102, 33-45 (2011). MSC: 05C12 PDFBibTeX XMLCite \textit{F. P. Jamil} et al., Ars Comb. 102, 33--45 (2011; Zbl 1265.05187)
Zhou, Junling; Chang, Yanxun P3BD-closed sets. (English) Zbl 1242.05034 J. Comb. Des. 19, No. 6, 407-421 (2011). MSC: 05B05 05B15 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{Y. Chang}, J. Comb. Des. 19, No. 6, 407--421 (2011; Zbl 1242.05034) Full Text: DOI
Conder, Marston; Tucker, Thomas Motion and distinguishing number two. (English) Zbl 1236.05205 Ars Math. Contemp. 4, No. 1, 63-72 (2011). MSC: 05E18 05E15 05C10 20B05 PDFBibTeX XMLCite \textit{M. Conder} and \textit{T. Tucker}, Ars Math. Contemp. 4, No. 1, 63--72 (2011; Zbl 1236.05205) Full Text: DOI
Mao, Hua; Liu, Sanyang Some properties of the closure operator of a pi-space. (English) Zbl 1233.05079 Kyungpook Math. J. 51, No. 3, 311-322 (2011). MSC: 05B35 PDFBibTeX XMLCite \textit{H. Mao} and \textit{S. Liu}, Kyungpook Math. J. 51, No. 3, 311--322 (2011; Zbl 1233.05079) Full Text: DOI
Paget, Rowena; Wildon, Mark Set families and Foulkes modules. (English) Zbl 1229.05281 J. Algebr. Comb. 34, No. 3, 525-544 (2011). MSC: 05E10 20C05 PDFBibTeX XMLCite \textit{R. Paget} and \textit{M. Wildon}, J. Algebr. Comb. 34, No. 3, 525--544 (2011; Zbl 1229.05281) Full Text: DOI arXiv
Elekes, Márton; Mátrai, Tamás; Soukup, Lajos On splitting infinite-fold covers. (English) Zbl 1223.03028 Fundam. Math. 212, No. 2, 95-127 (2011). Reviewer: Martin Weese (Potsdam) MSC: 03E05 03E04 03E35 03E50 05C15 52A20 52B11 PDFBibTeX XMLCite \textit{M. Elekes} et al., Fundam. Math. 212, No. 2, 95--127 (2011; Zbl 1223.03028) Full Text: DOI arXiv
Roberts, Ian; Simpson, Jamie A note on the union-closed sets conjecture. (English) Zbl 1277.05161 Australas. J. Comb. 47, 265-267 (2010). MSC: 05D05 PDFBibTeX XMLCite \textit{I. Roberts} and \textit{J. Simpson}, Australas. J. Comb. 47, 265--267 (2010; Zbl 1277.05161)
Popescu, Marius A viability result for differential inclusions on graphs. (English) Zbl 1199.34032 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 55, No. 2, 383-402 (2009). MSC: 34A60 05C99 PDFBibTeX XMLCite \textit{M. Popescu}, An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 55, No. 2, 383--402 (2009; Zbl 1199.34032)
Wu, Xiaodong Efficient algorithms for the optimal-ratio region detection problems in discrete geometry with applications. (English) Zbl 1195.65022 Int. J. Comput. Geom. Appl. 19, No. 2, 141-159 (2009). Reviewer: Xavier Goaoc (Vandoeuvres-lès-Nancy) MSC: 65D18 05C20 94A08 PDFBibTeX XMLCite \textit{X. Wu}, Int. J. Comput. Geom. Appl. 19, No. 2, 141--159 (2009; Zbl 1195.65022) Full Text: DOI
Czédli, Gábor On averaging Frankl’s conjecture for large union-closed-sets. (English) Zbl 1206.05099 J. Comb. Theory, Ser. A 116, No. 3, 724-729 (2009). MSC: 05D05 06A07 PDFBibTeX XMLCite \textit{G. Czédli}, J. Comb. Theory, Ser. A 116, No. 3, 724--729 (2009; Zbl 1206.05099) Full Text: DOI
Czédli, Gábor; Maróti, Miklós; Schmidt, E. Tamás On the scope of averaging for Frankl’s conjecture. (English) Zbl 1229.05259 Order 26, No. 1, 31-48 (2009). MSC: 05D05 PDFBibTeX XMLCite \textit{G. Czédli} et al., Order 26, No. 1, 31--48 (2009; Zbl 1229.05259) Full Text: DOI
Lecomte, Dominique; Miller, Benjamin D. Basis theorems for non-potentially closed sets and graphs of uncountable Borel chromatic number. (English) Zbl 1191.03035 J. Math. Log. 8, No. 2, 121-162 (2008). MSC: 03E15 05C15 PDFBibTeX XMLCite \textit{D. Lecomte} and \textit{B. D. Miller}, J. Math. Log. 8, No. 2, 121--162 (2008; Zbl 1191.03035) Full Text: DOI
Bosnjak, Ivica; Markovic, Petar The 11-element case of Frankl’s conjecture. (English) Zbl 1180.05119 Electron. J. Comb. 15, No. 1, Research Paper R88, 17 p. (2008). MSC: 05D05 05A05 PDFBibTeX XMLCite \textit{I. Bosnjak} and \textit{P. Markovic}, Electron. J. Comb. 15, No. 1, Research Paper R88, 17 p. (2008; Zbl 1180.05119) Full Text: EuDML EMIS
Dourado, Mitre C.; Protti, Fábio; Szwarcfiter, Jayme L. On the complexity of the geodetic and convexity numbers of a graph. (English) Zbl 1168.05033 Balakrishnan, R. (ed.) et al., Proceedings of the international conference on discrete mathematics (ICDM 2006), Bangalore, India, December 15–18, 2006. Mysore: Ramanujan Mathematical Society (ISBN 978-81-902545-7-1/hbk). Ramanujan Mathematical Society Lecture Notes Series 7, 101-108 (2008). MSC: 05C35 05C38 PDFBibTeX XMLCite \textit{M. C. Dourado} et al., Ramanujan Math. Soc. Lect. Notes Ser. 7, 101--108 (2008; Zbl 1168.05033)
Zhang, Shaopu; Lei, Jianguo; Kong, Hairong A small generating set for the 3-BD closed set of block sizes \(\geq\) 6. (English) Zbl 1138.05005 J. Comb. Des. 16, No. 2, 128-136 (2008). Reviewer: Zlatko Varbanov (Veliko Tarnovo) MSC: 05B05 05B25 51E05 PDFBibTeX XMLCite \textit{S. Zhang} et al., J. Comb. Des. 16, No. 2, 128--136 (2008; Zbl 1138.05005) Full Text: DOI
Marković, Petar An attempt at Frankl’s conjecture. (English) Zbl 1246.05004 Publ. Inst. Math., Nouv. Sér. 81(95), 29-43 (2007). MSC: 05A05 05D05 PDFBibTeX XMLCite \textit{P. Marković}, Publ. Inst. Math., Nouv. Sér. 81(95), 29--43 (2007; Zbl 1246.05004) Full Text: DOI
Aguiló-Gost, Francesc Sets of gaps in sequences of Frobenius’ problems with 3 elements. (English) Zbl 1341.05096 Márquez, Alberto (ed.) et al., Proceedings of the 4th European conference on combinatorics, graph theory and applications, EuroComb’07, Seville, Spain, September 11–15, 2007. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 29, 231-236 (2007). MSC: 05C20 PDFBibTeX XMLCite \textit{F. Aguiló-Gost}, Electron. Notes Discrete Math. 29, 231--236 (2007; Zbl 1341.05096) Full Text: DOI
Mao, Hua On geometric lattices and matroids of arbitrary cardinality. (English) Zbl 1174.05319 Ars Comb. 81, 23-32 (2006). MSC: 05B35 06C10 PDFBibTeX XMLCite \textit{H. Mao}, Ars Comb. 81, 23--32 (2006; Zbl 1174.05319)
Chen, Xiangen Chromaticity on 6-partite graphs with \(6n+5\) vertices. (English) Zbl 1131.05039 Pure Appl. Math. 21, No. 2, 134-141 (2005). Reviewer: Jozef Fiamčik (Prešov) MSC: 05C15 PDFBibTeX XMLCite \textit{X. Chen}, Pure Appl. Math. 21, No. 2, 134--141 (2005; Zbl 1131.05039)
Ji, Lijun On the 3BD-closed set \(B_3(\{4,5\})\). (English) Zbl 1051.05021 Discrete Math. 287, No. 1-3, 55-67 (2004). Reviewer: Giovanni Ferrero (Parma) MSC: 05B30 05B05 PDFBibTeX XMLCite \textit{L. Ji}, Discrete Math. 287, No. 1--3, 55--67 (2004; Zbl 1051.05021) Full Text: DOI
Vaughan, Theresa P. Three-sets in a union-closed family. (English) Zbl 1053.05116 J. Comb. Math. Comb. Comput. 49, 73-84 (2004). Reviewer: Péter L. Erdős (Budapest) MSC: 05D05 PDFBibTeX XMLCite \textit{T. P. Vaughan}, J. Comb. Math. Comb. Comput. 49, 73--84 (2004; Zbl 1053.05116)
Ji, L. On the 3BD-closed set \(B _{3}(\{4,5,6\})\). (English) Zbl 1039.05015 J. Comb. Des. 12, No. 2, 92-102 (2004). Reviewer: Kishore Sinha (Ranchi) MSC: 05B05 PDFBibTeX XMLCite \textit{L. Ji}, J. Comb. Des. 12, No. 2, 92--102 (2004; Zbl 1039.05015) Full Text: DOI
Fomin, Fedor V.; Thilikos, Dimtirios M. Dominating sets and local treewidth. (English) Zbl 1266.05164 Di Battista, Giuseppe (ed.) et al., Algorithms – ESA 2003. 11th annual European symposium, Budapest, Hungary, September 16–19, 2003. Proceedings. Berlin: Springer (ISBN 3-540-20064-9/pbk). Lect. Notes Comput. Sci. 2832, 221-229 (2003). MSC: 05C85 05C69 68Q25 PDFBibTeX XMLCite \textit{F. V. Fomin} and \textit{D. M. Thilikos}, Lect. Notes Comput. Sci. 2832, 221--229 (2003; Zbl 1266.05164) Full Text: DOI
Vaughan, Theresa P. A note on the union-closed sets conjecture. (English) Zbl 1148.05320 J. Comb. Math. Comb. Comput. 45, 95-108 (2003). MSC: 05D05 PDFBibTeX XMLCite \textit{T. P. Vaughan}, J. Comb. Math. Comb. Comput. 45, 95--108 (2003; Zbl 1148.05320)
Reimer, David An average set size theorem. (English) Zbl 1013.05083 Comb. Probab. Comput. 12, No. 1, 89-93 (2003). Reviewer: William G.Brown (Montréal) MSC: 05D05 PDFBibTeX XMLCite \textit{D. Reimer}, Comb. Probab. Comput. 12, No. 1, 89--93 (2003; Zbl 1013.05083) Full Text: DOI Backlinks: MO
Vaughan, Theresa P. Families implying the Frankl conjecture. (English) Zbl 1021.05096 Eur. J. Comb. 23, No. 7, 851-860 (2002). Reviewer: Ian Anderson (Glasgow) MSC: 05D05 PDFBibTeX XMLCite \textit{T. P. Vaughan}, Eur. J. Comb. 23, No. 7, 851--860 (2002; Zbl 1021.05096) Full Text: DOI
Dong, F. M.; Teo, K. L.; Koh, K. M. A note on the chromaticity of some 2-connected \((n,n+3)\)-graphs. (English) Zbl 0994.05065 Discrete Math. 243, No. 1-3, 217-221 (2002). MSC: 05C15 PDFBibTeX XMLCite \textit{F. M. Dong} et al., Discrete Math. 243, No. 1--3, 217--221 (2002; Zbl 0994.05065) Full Text: DOI
Dohmen, Klaus Improved Bonferroni inequalities via union-closed set systems. (English) Zbl 0958.05007 J. Comb. Theory, Ser. A 92, No. 1, 61-67 (2000). Reviewer: William G.Brown (Montréal) MSC: 05A20 05D05 PDFBibTeX XMLCite \textit{K. Dohmen}, J. Comb. Theory, Ser. A 92, No. 1, 61--67 (2000; Zbl 0958.05007) Full Text: DOI EuDML
Cockayne, E. J.; Mynhardt, C. M.; Simmons, J. The CO-irredundant Ramsey number \(t(4,7)\). (English) Zbl 0956.05073 Util. Math. 57, 193-209 (2000). Reviewer: Kathrin Klamroth (Dresden) MSC: 05C55 PDFBibTeX XMLCite \textit{E. J. Cockayne} et al., Util. Math. 57, 193--209 (2000; Zbl 0956.05073)
Salazar, Gelasio On the intersections of systems of curves. (English) Zbl 0936.05083 J. Comb. Theory, Ser. B 75, No. 1, 56-60 (1999). Reviewer: Konrad Engel (Rostock) MSC: 05D05 53A04 PDFBibTeX XMLCite \textit{G. Salazar}, J. Comb. Theory, Ser. B 75, No. 1, 56--60 (1999; Zbl 0936.05083) Full Text: DOI
Wójcik, Piotr Union-closed families of sets. (English) Zbl 0927.05081 Discrete Math. 199, No. 1-3, 173-182 (1999). Reviewer: K.Engel (Rostock) MSC: 05D05 PDFBibTeX XMLCite \textit{P. Wójcik}, Discrete Math. 199, No. 1--3, 173--182 (1999; Zbl 0927.05081) Full Text: DOI
Johnson, Robert T.; Vaughan, Theresa P. On union-closed families. I. (English) Zbl 0917.05079 J. Comb. Theory, Ser. A 85, No. 1, 112-119 (1999). Reviewer: Le Maohua (Zhanjiang) MSC: 05D05 05A05 06A07 PDFBibTeX XMLCite \textit{R. T. Johnson} and \textit{T. P. Vaughan}, J. Comb. Theory, Ser. A 85, No. 1, 112--119 (1999; Zbl 0917.05079) Full Text: DOI
Gao, Weidong; Yu, Hongquan Note on the union-closed sets conjecture. (English) Zbl 0963.05129 Ars Comb. 49, 280-288 (1998). Reviewer: Pavel Valtr (Praha) MSC: 05D05 PDFBibTeX XMLCite \textit{W. Gao} and \textit{H. Yu}, Ars Comb. 49, 280--288 (1998; Zbl 0963.05129)
McColm, Gregory L. A splitting inequality. (English) Zbl 0918.05096 Ramanujan J. 2, No. 4, 511-519 (1998). MSC: 05D05 26D05 05A10 05C80 26C15 35B15 PDFBibTeX XMLCite \textit{G. L. McColm}, Ramanujan J. 2, No. 4, 511--519 (1998; Zbl 0918.05096) Full Text: DOI
Johnson, Robert T.; Vaughan, Theresa P. On union-closed families. I. (English) Zbl 0917.05078 J. Comb. Theory, Ser. A 84, No. 2, 242-249 (1998). Reviewer: K.Engel (Rostock) MSC: 05D05 06A07 05A05 PDFBibTeX XMLCite \textit{R. T. Johnson} and \textit{T. P. Vaughan}, J. Comb. Theory, Ser. A 84, No. 2, 242--249 (1998; Zbl 0917.05078) Full Text: DOI
Koh, K. M.; Poh, K. S. On the lower length of the closed-set lattice of a tree. (English) Zbl 0853.05028 Discrete Math. 151, No. 1-3, 121-130 (1996). Reviewer: J.Neggers (Tuscaloosa) MSC: 05C05 06B99 05C99 PDFBibTeX XMLCite \textit{K. M. Koh} and \textit{K. S. Poh}, Discrete Math. 151, No. 1--3, 121--130 (1996; Zbl 0853.05028) Full Text: DOI
Bennett, Frank E.; Gronau, Hans-Dietrich O. F.; Ling, Alan C. H.; Mullin, Ronald C. PBD-closure. (English) Zbl 0845.05011 Colbourn, Charles J. (ed.) et al., The CRC handbook of combinatorial designs. Boca Raton, FL: CRC Press. CRC Press Series on Discrete Mathematics and its Applications. 203-213 (1996). Reviewer: D.V.Chopra (Wichita) MSC: 05B05 PDFBibTeX XMLCite \textit{F. E. Bennett} et al., in: The CRC handbook of combinatorial designs. Boca Raton, FL: CRC Press. 203--213 (1996; Zbl 0845.05011)
Ling, Alan C. H.; Colbourn, Charles J. Concerning the generating set of \(\mathbb{Z}_{\geq n}\). (English) Zbl 0907.05009 Congr. Numerantium 114, 65-72 (1996). Reviewer: L.Teirlinck (Auburn) MSC: 05B05 PDFBibTeX XMLCite \textit{A. C. H. Ling} and \textit{C. J. Colbourn}, Congr. Numerantium 114, 65--72 (1996; Zbl 0907.05009)
Koh, K. M.; Poh, K. S. A class of sensitive graphs which are not strongly sensitive. (English) Zbl 0843.05092 Alavi, Y. (ed.) et al., Graph theory, combinatorics, algorithms and applications. Vol. 2. Proceedings of the seventh quadrennial international conference on the theory and applications of graphs, Kalamazoo, MI, USA, June 1-5, 1992. New York, NY: Wiley. 923-935 (1995). MSC: 05C99 06B99 PDFBibTeX XMLCite \textit{K. M. Koh} and \textit{K. S. Poh}, in: Graph theory, combinatorics, algorithms and applications. Vol. 2. Proceedings of the seventh quadrennial international conference on the theory and applications of graphs, Kalamazoo, MI, USA, June 1-5, 1992. New York, NY: Wiley. 923--935 (1995; Zbl 0843.05092)
Anthony, Martin; Brightwell, Graham; Cooper, Colin The Vapnik-Chervonenkis dimension of a random graph. (English) Zbl 0824.05056 Discrete Math. 138, No. 1-3, 43-56 (1995). Reviewer: C.McDiarmid (Oxford) MSC: 05C80 05C35 PDFBibTeX XMLCite \textit{M. Anthony} et al., Discrete Math. 138, No. 1--3, 43--56 (1995; Zbl 0824.05056) Full Text: DOI
Väänänen, Jouko Games and trees in infinitary logic: A survey. (English) Zbl 0905.03026 Krynicki, Michał(ed.) et al., Quantifiers: logics, models and computation. Volume one: Surveys. Dordrecht: Kluwer Academic Publishers. Synth. Libr. 248, 105-138 (1995). Reviewer: H.-J.Vogel (Potsdam) MSC: 03C75 03-02 03C80 03C52 03E50 05C05 03E25 91A05 PDFBibTeX XMLCite \textit{J. Väänänen}, Synth. Libr. 248, 105--138 (1995; Zbl 0905.03026)
Korshunov, A. D. Families of subsets of a finite set and closed classes of Boolean functions. (English) Zbl 0817.05074 Frankl, P. (ed.) et al., Extremal problems for finite sets. Proceedings of the conference, held in Visegrád, Hungary between June 16-21, 1991. Budapest: János Bolyai Mathematical Society. Bolyai Soc. Math. Stud. 3, 375-396 (1994). Reviewer: V.V.Gorlov (Minsk) MSC: 05D05 94C10 06E30 PDFBibTeX XMLCite \textit{A. D. Korshunov}, Bolyai Soc. Math. Stud. 3, 375--396 (1994; Zbl 0817.05074)
Lo Faro, Giovanni Union-closed sets conjecture: Improved bounds. (English) Zbl 0819.05003 J. Comb. Math. Comb. Comput. 16, 97-102 (1994). Reviewer: J.Cigler (Wien) MSC: 05A05 PDFBibTeX XMLCite \textit{G. Lo Faro}, J. Comb. Math. Comb. Comput. 16, 97--102 (1994; Zbl 0819.05003)
Miao, Y. A note on a generating set for \(N_ 5^ \infty\). (English) Zbl 0807.05007 J. Comb. Math. Comb. Comput. 15, 227-228 (1994). Reviewer: C.J.Salwach (Easton) MSC: 05B05 PDFBibTeX XMLCite \textit{Y. Miao}, J. Comb. Math. Comb. Comput. 15, 227--228 (1994; Zbl 0807.05007)
Ponomarenko, I. N. Graph isomorphism problem and \(2\)-closed permutation groups. (English) Zbl 0803.20003 Appl. Algebra Eng. Commun. Comput. 5, No. 1, 9-22 (1994). Reviewer: P.P.Pálfy (Budapest) MSC: 20B25 05C25 68Q25 20B05 20F05 20D20 PDFBibTeX XMLCite \textit{I. N. Ponomarenko}, Appl. Algebra Eng. Commun. Comput. 5, No. 1, 9--22 (1994; Zbl 0803.20003) Full Text: DOI
Ding, Changmin; Shen, Hao Existence of indecomposable and simple block design \(B(5,4;v)\). (English) Zbl 0810.05015 Chin. Ann. Math., Ser. B 14, No. 4, 455-464 (1993). Reviewer: A.Bonisoli (Potenza) MSC: 05B05 51E05 PDFBibTeX XMLCite \textit{C. Ding} and \textit{H. Shen}, Chin. Ann. Math., Ser. B 14, No. 4, 455--464 (1993; Zbl 0810.05015)
Renaud, J.-C.; Fitina, L. F. On union-closed sets and Conway’s sequence. (English) Zbl 0781.05003 Bull. Aust. Math. Soc. 47, No. 2, 321-332 (1993). MSC: 05A05 03E15 05A15 06B05 05A18 11B37 PDFBibTeX XMLCite \textit{J. C. Renaud} and \textit{L. F. Fitina}, Bull. Aust. Math. Soc. 47, No. 2, 321--332 (1993; Zbl 0781.05003) Full Text: DOI
Koh, K. M.; Poh, K. S. On the spectrum of the closed-set lattice of a graph. (English) Zbl 0784.05058 Australas. J. Comb. 5, 253-259 (1992). Reviewer: A.Andreatta (Pavia) MSC: 05C99 06B99 PDFBibTeX XMLCite \textit{K. M. Koh} and \textit{K. S. Poh}, Australas. J. Comb. 5, 253--259 (1992; Zbl 0784.05058)
Zhao, Jun The dual modular matroid. (Chinese. English summary) Zbl 0822.05018 J. Beijing Inst. Technol. 12, No. 1, 1-3 (1992). MSC: 05B35 PDFBibTeX XMLCite \textit{J. Zhao}, J. Beijing Inst. Technol. 12, No. 1, 1--3 (1992; Zbl 0822.05018)
Poonen, Bjorn Union-closed families. (English) Zbl 0758.05096 J. Comb. Theory, Ser. A 59, No. 2, 253-268 (1992). Reviewer: K.Engel (Rostock) MSC: 05D05 05A05 06A12 06B99 PDFBibTeX XMLCite \textit{B. Poonen}, J. Comb. Theory, Ser. A 59, No. 2, 253--268 (1992; Zbl 0758.05096) Full Text: DOI
Domke, Gayla S.; Hedetniemi, Stephen T.; Laskar, Renu C.; Fricke, Gerd Relationships between integer and fractional parameters of graphs. (English) Zbl 0840.05041 Alavi, Yousef (ed.) et al., Graph theory, combinatorics, and applications, Vol. 1. Proceedings of the sixth quadrennial international conference on the theory and applications of graphs held at Western Michigan University, Kalamazoo, Michigan, May 30-June 3, 1988. New York: John Wiley & Sons Ltd. Wiley-Interscience Publication. 371-387 (1991). MSC: 05C35 PDFBibTeX XMLCite \textit{G. S. Domke} et al., in: Graph theory, combinatorics, and applications, Vol. 1. Proceedings of the sixth quadrennial international conference on the theory and applications of graphs held at Western Michigan University, Kalamazoo, Michigan, May 30-June 3, 1988. New York: John Wiley \&| Sons Ltd.. 371--387 (1991; Zbl 0840.05041)
Renaud, J.-C. Is the union-closed sets conjecture the best possible? (English) Zbl 0776.05003 J. Aust. Math. Soc., Ser. A 51, No. 2, 276-283 (1991). Reviewer: J.Štulc (Praha) MSC: 05A05 05A15 03E15 PDFBibTeX XMLCite \textit{J. C. Renaud}, J. Aust. Math. Soc., Ser. A 51, No. 2, 276--283 (1991; Zbl 0776.05003)
Mullin, R. C.; Gardner, B.; Metsch, Klaus; van Rees, G. H. J. Some properties of finite bases for the Rosa set. (English) Zbl 0732.05008 Util. Math. 38, 199-215 (1990). Reviewer: A.Rahilly (St.Lucia) MSC: 05B05 PDFBibTeX XMLCite \textit{R. C. Mullin} et al., Util. Math. 38, 199--215 (1990; Zbl 0732.05008)
Nieminen, Juhani Prime closed set intersection graphs. (English) Zbl 0709.05036 Bull. Inst. Math., Acad. Sin. 18, No. 1, 77-83 (1990). Reviewer: Ján Plesník (Bratislava) MSC: 05C99 05C75 05C05 PDFBibTeX XMLCite \textit{J. Nieminen}, Bull. Inst. Math., Acad. Sin. 18, No. 1, 77--83 (1990; Zbl 0709.05036)
Koh, K. M.; Poh, K. S. On the sequence of closed-set lattices of a graph. (English) Zbl 0792.05139 Capobianco, Michael F. (ed.) et al., Graph theory and its applications: East and West. Proceedings of the first China-USA international conference, held in Jinan, China, June 9-20, 1986. New York: New York Academy of Sciences,. Ann. N. Y. Acad. Sci. 576, 285-291 (1989). MSC: 05C99 06B99 PDFBibTeX XMLCite \textit{K. M. Koh} and \textit{K. S. Poh}, in: Graph theory and its applications: East and West. Proceedings of the first China-USA international conference, held in Jinan, China, June 9--20, 1986. New York: New York Academy of Sciences. 285--291 (1989; Zbl 0792.05139)