Staš, Michal; Valiska, Juraj On the problems of \(\mathcal{CF}\)-connected graphs. (English) Zbl 1527.05045 Electron. J. Graph Theory Appl. 11, No. 2, 491-500 (2023). MSC: 05C10 05C38 PDFBibTeX XMLCite \textit{M. Staš} and \textit{J. Valiska}, Electron. J. Graph Theory Appl. 11, No. 2, 491--500 (2023; Zbl 1527.05045) Full Text: DOI
Mohar, Bojan From art and circuit design to geometry and combinatorics. (English) Zbl 1526.05105 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 663-676 (2023). MSC: 05C62 52C10 PDFBibTeX XMLCite \textit{B. Mohar}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 663--676 (2023; Zbl 1526.05105) Full Text: DOI
Gangopadhyay, Rahul; Ayan Maximum rectilinear crossing number of uniform hypergraphs. (English) Zbl 1525.05139 Graphs Comb. 39, No. 6, Paper No. 114, 26 p. (2023). MSC: 05C65 05C62 05C35 52B05 68Q17 PDFBibTeX XMLCite \textit{R. Gangopadhyay} and \textit{Ayan}, Graphs Comb. 39, No. 6, Paper No. 114, 26 p. (2023; Zbl 1525.05139) Full Text: DOI arXiv
Boninger, Joe On the cosmetic crossing conjecture for special alternating links. (English) Zbl 1527.57002 Proc. Am. Math. Soc., Ser. B 10, 288-295 (2023). Reviewer: Khaled Qazaqzeh (Irbid) MSC: 57K10 PDFBibTeX XMLCite \textit{J. Boninger}, Proc. Am. Math. Soc., Ser. B 10, 288--295 (2023; Zbl 1527.57002) Full Text: DOI arXiv
Staš, Michal; Timková, Mária The crossing numbers of join products of four graphs of order five with paths and cycles. (English) Zbl 1520.05083 Opusc. Math. 43, No. 6, 865-883 (2023). MSC: 05C76 05C10 05C38 PDFBibTeX XMLCite \textit{M. Staš} and \textit{M. Timková}, Opusc. Math. 43, No. 6, 865--883 (2023; Zbl 1520.05083) Full Text: DOI
Staš, M. The crossing numbers of join products of eight graphs of order six with paths and cycles. (English) Zbl 1517.05042 Carpathian Math. Publ. 15, No. 1, 66-77 (2023). MSC: 05C10 05C38 PDFBibTeX XMLCite \textit{M. Staš}, Carpathian Math. Publ. 15, No. 1, 66--77 (2023; Zbl 1517.05042) Full Text: DOI
Allred, Wolfgang; Aragón, Manuel; Dooley, Zack; Goldman, Alexander; Lei, Yucong; Martinez, Isaiah; Meyer, Nicholas; Peters, Devon; Warrander, Scott; Wright, Ana; Zupan, Alexander Tri-plane diagrams for simple surfaces in \(S^4\). (English) Zbl 1528.57017 J. Knot Theory Ramifications 32, No. 6, Article ID 2350041, 28 p. (2023). Reviewer: William Rushworth (Newcastle upon Tyne) MSC: 57K45 PDFBibTeX XMLCite \textit{W. Allred} et al., J. Knot Theory Ramifications 32, No. 6, Article ID 2350041, 28 p. (2023; Zbl 1528.57017) Full Text: DOI arXiv
Iršič, Vesna; Lekše, Maruša; Pačnik, Mihael; Podlogar, Petra; Praček, Martin Domination and independence number of large 2-crossing-critical graphs. (English) Zbl 1515.05138 Ars Math. Contemp. 23, No. 4, Paper No. 5, 14 p. (2023). MSC: 05C69 05C10 05C62 PDFBibTeX XMLCite \textit{V. Iršič} et al., Ars Math. Contemp. 23, No. 4, Paper No. 5, 14 p. (2023; Zbl 1515.05138) Full Text: DOI arXiv
Hagedorn, Nicholas D. Strict inequalities for the \(n\)-crossing number. (English) Zbl 1516.57008 J. Knot Theory Ramifications 32, No. 4, Article ID 2350028, 17 p. (2023). MSC: 57K10 PDFBibTeX XMLCite \textit{N. D. Hagedorn}, J. Knot Theory Ramifications 32, No. 4, Article ID 2350028, 17 p. (2023; Zbl 1516.57008) Full Text: DOI arXiv
Sommariva, Alvise; Vianello, Marco Low cardinality positive interior cubature on NURBS-shaped domains. (English) Zbl 1514.65018 BIT 63, No. 2, Paper No. 22, 20 p. (2023). MSC: 65D07 65D10 65D17 65D18 65D32 65N30 PDFBibTeX XMLCite \textit{A. Sommariva} and \textit{M. Vianello}, BIT 63, No. 2, Paper No. 22, 20 p. (2023; Zbl 1514.65018) Full Text: DOI
Kalfagianni, Efstratia; Lee, Christine Ruey Shan Jones diameter and crossing number of knots. (English) Zbl 1512.57018 Adv. Math. 417, Article ID 108937, 35 p. (2023). Reviewer: Khaled Qazaqzeh (Irbed) MSC: 57K14 57K10 PDFBibTeX XMLCite \textit{E. Kalfagianni} and \textit{C. R. S. Lee}, Adv. Math. 417, Article ID 108937, 35 p. (2023; Zbl 1512.57018) Full Text: DOI arXiv
Karl, János; Tóth, Géza Crossing lemma for the odd-crossing number. (English) Zbl 1498.05191 Comput. Geom. 108, Article ID 101901, 6 p. (2023). MSC: 05C62 05C10 PDFBibTeX XMLCite \textit{J. Karl} and \textit{G. Tóth}, Comput. Geom. 108, Article ID 101901, 6 p. (2023; Zbl 1498.05191) Full Text: DOI arXiv
Yang, Yuansheng; Wang, Guoqing; Wang, Haoli; Zhou, Yan Disproof of a conjecture by Erdős and Guy on the crossing number of hypercubes. (English) Zbl 1522.05331 J. Graph Theory 100, No. 3, 389-434 (2022). MSC: 05C62 05C65 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Graph Theory 100, No. 3, 389--434 (2022; Zbl 1522.05331) Full Text: DOI arXiv
Camacho, Charles; Fernández-Merchant, Silvia; Jelić Milutinović, Marija; Kirsch, Rachel; Kleist, Linda; Matson, Elizabeth B.; White, Jennifer Bounding the tripartite-circle crossing number of complete tripartite graphs. (English) Zbl 1522.05326 J. Graph Theory 100, No. 1, 5-27 (2022). MSC: 05C62 05C10 PDFBibTeX XMLCite \textit{C. Camacho} et al., J. Graph Theory 100, No. 1, 5--27 (2022; Zbl 1522.05326) Full Text: DOI arXiv OA License
Prasad, Amritanshu; Ram, Samrith Set partitions, tableaux, and subspace profiles of regular diagonal operators. (English) Zbl 1515.05029 Sémin. Lothar. Comb. 86B, Article 35, 12 p. (2022). MSC: 05A18 05A17 05A15 05E10 11B73 PDFBibTeX XMLCite \textit{A. Prasad} and \textit{S. Ram}, Sémin. Lothar. Comb. 86B, Article 35, 12 p. (2022; Zbl 1515.05029) Full Text: arXiv Link
Denne, Elizabeth; Carr Haden, John; Larsen, Troy; Meehan, Emily Ribbonlength of families of folded ribbon knots. (English) Zbl 1511.57004 Involve 15, No. 4, 591-628 (2022). Reviewer: Claus Ernst (Bowling Green) MSC: 57K10 PDFBibTeX XMLCite \textit{E. Denne} et al., Involve 15, No. 4, 591--628 (2022; Zbl 1511.57004) Full Text: DOI arXiv
Tarkaev, V. V. On the sharpness of some lower bounds for the crossing number of links in thickened surfaces. (English. Russian original) Zbl 1512.57017 Sib. Math. J. 63, No. 6, 1153-1168 (2022); translation from Sib. Mat. Zh. 63, No. 6, 1349-1368 (2022). MSC: 57K12 PDFBibTeX XMLCite \textit{V. V. Tarkaev}, Sib. Math. J. 63, No. 6, 1153--1168 (2022; Zbl 1512.57017); translation from Sib. Mat. Zh. 63, No. 6, 1349--1368 (2022) Full Text: DOI
Inoue, Ayumu; Kimura, Naoki; Nikkuni, Ryo; Taniyama, Kouki Crossing numbers and rotation numbers of cycles in a plane immersed graph. (English) Zbl 1504.05072 J. Knot Theory Ramifications 31, No. 11, Article ID 2250076, 26 p. (2022). MSC: 05C10 05C38 57K10 PDFBibTeX XMLCite \textit{A. Inoue} et al., J. Knot Theory Ramifications 31, No. 11, Article ID 2250076, 26 p. (2022; Zbl 1504.05072) Full Text: DOI arXiv
Ding, Zongpeng; Ouyang, Zhangdong; Huang, Yuanqiu; Dong, Fengming New upper bounds for the crossing numbers of crossing-critical graphs. (English) Zbl 1497.05053 Discrete Math. 345, No. 12, Article ID 113090, 6 p. (2022). MSC: 05C10 05C38 PDFBibTeX XMLCite \textit{Z. Ding} et al., Discrete Math. 345, No. 12, Article ID 113090, 6 p. (2022; Zbl 1497.05053) Full Text: DOI arXiv
Ábrego, Bernardo M.; Fernández-Merchant, Silvia The outerplanar crossing number of the complete bipartite graph. (English) Zbl 1497.05049 Discrete Appl. Math. 321, 379-384 (2022). MSC: 05C10 05C62 PDFBibTeX XMLCite \textit{B. M. Ábrego} and \textit{S. Fernández-Merchant}, Discrete Appl. Math. 321, 379--384 (2022; Zbl 1497.05049) Full Text: DOI
Oh, SuHo; Xiang, David The facets of the matroid polytope and the independent set polytope of a positroid. (English) Zbl 1496.05022 J. Comb. 13, No. 4, 545-560 (2022). MSC: 05B35 52B40 52B05 14M15 PDFBibTeX XMLCite \textit{S. Oh} and \textit{D. Xiang}, J. Comb. 13, No. 4, 545--560 (2022; Zbl 1496.05022) Full Text: DOI arXiv
Ábrego, Bernardo M.; Fernández-Merchant, Silvia; Figueroa, Ana Paulina; Montellano-Ballesteros, Juan José; Rivera-Campo, Eduardo The crossing number of twisted graphs. (English) Zbl 1497.05050 Graphs Comb. 38, No. 5, Paper No. 134, 25 p. (2022). Reviewer: Xueliang Li (Tianjin) MSC: 05C10 05C35 05C62 52C10 05C60 68R10 PDFBibTeX XMLCite \textit{B. M. Ábrego} et al., Graphs Comb. 38, No. 5, Paper No. 134, 25 p. (2022; Zbl 1497.05050) Full Text: DOI
Higa, Ryuji Remarks relating to the ascending number and geometrical invariants of a knot. (English) Zbl 1500.57005 J. Knot Theory Ramifications 31, No. 6, Article ID 2250036, 13 p. (2022). Reviewer: Claus Ernst (Bowling Green) MSC: 57K10 PDFBibTeX XMLCite \textit{R. Higa}, J. Knot Theory Ramifications 31, No. 6, Article ID 2250036, 13 p. (2022; Zbl 1500.57005) Full Text: DOI
Klešč, Marián; Staš, Michal Cyclic permutations in determining crossing numbers. (English) Zbl 1493.05078 Discuss. Math., Graph Theory 42, No. 4, 1163-1183 (2022). MSC: 05C10 05C62 05C38 05A05 PDFBibTeX XMLCite \textit{M. Klešč} and \textit{M. Staš}, Discuss. Math., Graph Theory 42, No. 4, 1163--1183 (2022; Zbl 1493.05078) Full Text: DOI
Staš, Michal; Švecová, Mária The crossing numbers of join products of paths with three graphs of order five. (English) Zbl 1492.05135 Opusc. Math. 42, No. 4, 635-651 (2022). MSC: 05C76 05C10 05C38 PDFBibTeX XMLCite \textit{M. Staš} and \textit{M. Švecová}, Opusc. Math. 42, No. 4, 635--651 (2022; Zbl 1492.05135) Full Text: DOI
Ghanbarian, Nakisa The non-orientable 4-genus for knots with 10 crossings. (English) Zbl 1493.57002 J. Knot Theory Ramifications 31, No. 5, Article ID 2250034, 46 p. (2022). Reviewer: Kenneth A. Perko Jr. (Scarsdale) MSC: 57K10 PDFBibTeX XMLCite \textit{N. Ghanbarian}, J. Knot Theory Ramifications 31, No. 5, Article ID 2250034, 46 p. (2022; Zbl 1493.57002) Full Text: DOI arXiv
Bokal, Drago; Chimani, Markus; Nover, Alexander; Schierbaum, Jöran; Stolzmann, Tobias; Wagner, Mirko H.; Wiedera, Tilo Properties of large 2-crossing-critical graphs. (English) Zbl 1489.05139 J. Graph Algorithms Appl. 26, No. 1, 111-147 (2022). MSC: 05C85 05C10 PDFBibTeX XMLCite \textit{D. Bokal} et al., J. Graph Algorithms Appl. 26, No. 1, 111--147 (2022; Zbl 1489.05139) Full Text: DOI arXiv
Schaefer, Marcus; Štefankovič, Daniel The degenerate crossing number and higher-genus embeddings. (English) Zbl 1490.68164 J. Graph Algorithms Appl. 26, No. 1, 35-58 (2022). MSC: 68R10 05C10 68Q17 PDFBibTeX XMLCite \textit{M. Schaefer} and \textit{D. Štefankovič}, J. Graph Algorithms Appl. 26, No. 1, 35--58 (2022; Zbl 1490.68164) Full Text: DOI
Pach, János; Tardos, Gábor; Tóth, Géza Crossings between non-homotopic edges. (English) Zbl 1490.05189 J. Comb. Theory, Ser. B 156, 389-404 (2022). MSC: 05C62 05C10 52C10 PDFBibTeX XMLCite \textit{J. Pach} et al., J. Comb. Theory, Ser. B 156, 389--404 (2022; Zbl 1490.05189) Full Text: DOI
Guha, Anshul A new bound on odd multicrossing numbers of knots and links. (English) Zbl 1490.57002 J. Knot Theory Ramifications 31, No. 2, Article ID 2250008, 15 p. (2022). Reviewer: Kenneth A. Perko Jr. (Scarsdale) MSC: 57K10 PDFBibTeX XMLCite \textit{A. Guha}, J. Knot Theory Ramifications 31, No. 2, Article ID 2250008, 15 p. (2022; Zbl 1490.57002) Full Text: DOI arXiv
Ágoston, Péter; Pálvölgyi, Dömötör An improved constant factor for the unit distance problem. (English) Zbl 1513.05123 Stud. Sci. Math. Hung. 59, No. 1, 40-57 (2022). Reviewer: Petr Kolman (Praha) MSC: 05C10 05C62 05C12 PDFBibTeX XMLCite \textit{P. Ágoston} and \textit{D. Pálvölgyi}, Stud. Sci. Math. Hung. 59, No. 1, 40--57 (2022; Zbl 1513.05123) Full Text: DOI arXiv
Sommariva, Alvise; Vianello, Marco InRS: implementing the indicator function of NURBS-shaped planar domains. (English) Zbl 1496.65031 Appl. Math. Lett. 130, Article ID 108026, 9 p. (2022). MSC: 65D18 PDFBibTeX XMLCite \textit{A. Sommariva} and \textit{M. Vianello}, Appl. Math. Lett. 130, Article ID 108026, 9 p. (2022; Zbl 1496.65031) Full Text: DOI arXiv
Mroczkowski, Maciej On two crossing numbers of algebraic knots under Hopf fibration. (English) Zbl 1489.57006 Topology Appl. 312, Article ID 108084, 7 p. (2022). MSC: 57K10 32S50 PDFBibTeX XMLCite \textit{M. Mroczkowski}, Topology Appl. 312, Article ID 108084, 7 p. (2022; Zbl 1489.57006) Full Text: DOI arXiv
Staš, M. On the crossing numbers of join products of four graphs of order six with the discrete graph. (English) Zbl 1483.05050 Azerb. J. Math. 12, No. 1, 80-97 (2022). MSC: 05C10 05C38 PDFBibTeX XMLCite \textit{M. Staš}, Azerb. J. Math. 12, No. 1, 80--97 (2022; Zbl 1483.05050) Full Text: Link
Barát, János; Tóth, Géza Improvement on the crossing number of crossing-critical graphs. (English) Zbl 1512.05301 Discrete Comput. Geom. 67, No. 2, 595-604 (2022). MSC: 05C62 05C10 68R10 PDFBibTeX XMLCite \textit{J. Barát} and \textit{G. Tóth}, Discrete Comput. Geom. 67, No. 2, 595--604 (2022; Zbl 1512.05301) Full Text: DOI arXiv
Klešč, Marián; Staš, Michal; Petrillová, Jana The crossing numbers of join of special disconnected graph on five vertices with discrete graphs. (English) Zbl 1484.05145 Graphs Comb. 38, No. 2, Paper No. 35, 19 p. (2022). MSC: 05C62 05C30 05C10 05C38 05A05 PDFBibTeX XMLCite \textit{M. Klešč} et al., Graphs Comb. 38, No. 2, Paper No. 35, 19 p. (2022; Zbl 1484.05145) Full Text: DOI
Belousov, Yu. S.; Karev, M. V.; Malyutin, A. V.; Miller, A. Yu.; Fominykh, E. A. Lernaean knots and band surgery. (English. Russian original) Zbl 1485.57004 St. Petersbg. Math. J. 33, No. 1, 23-46 (2022); translation from Algebra Anal. 33, No. 1, 30-66 (2021). Reviewer: Alexander Stoimenow (Gwangju) MSC: 57K10 57K32 57K14 PDFBibTeX XMLCite \textit{Yu. S. Belousov} et al., St. Petersbg. Math. J. 33, No. 1, 23--46 (2022; Zbl 1485.57004); translation from Algebra Anal. 33, No. 1, 30--66 (2021) Full Text: DOI
Wang, Jing; Cai, Junliang; Lv, Shengxiang; Huang, Yuanqiu The crossing number of hexagonal graph \(H_{3,n }\) in the projective plane. (English) Zbl 1479.05234 Discuss. Math., Graph Theory 42, No. 1, 197-218 (2022). MSC: 05C62 05C10 05C76 51E20 PDFBibTeX XMLCite \textit{J. Wang} et al., Discuss. Math., Graph Theory 42, No. 1, 197--218 (2022; Zbl 1479.05234) Full Text: DOI
Arroyo, Alan; McQuillan, Dan; Richter, R. Bruce; Salazar, Gelasio; Sullivan, Matthew Drawings of complete graphs in the projective plane. (English) Zbl 1522.05323 J. Graph Theory 97, No. 3, 426-440 (2021). MSC: 05C62 05C10 PDFBibTeX XMLCite \textit{A. Arroyo} et al., J. Graph Theory 97, No. 3, 426--440 (2021; Zbl 1522.05323) Full Text: DOI arXiv
Ouyang, Zhangdong; Huang, Yuanqiu; Dong, Fengming; Tay, Eng Guan Zip product of graphs and crossing numbers. (English) Zbl 1521.05171 J. Graph Theory 96, No. 2, 289-309 (2021). MSC: 05C76 05C10 05C62 05C05 PDFBibTeX XMLCite \textit{Z. Ouyang} et al., J. Graph Theory 96, No. 2, 289--309 (2021; Zbl 1521.05171) Full Text: DOI
Gügümcü, N.; Kauffman, L. H. Parity, virtual closure and minimality of knotoids. (English) Zbl 1491.57011 J. Knot Theory Ramifications 30, No. 11, Article ID 2150076, 28 p. (2021). Reviewer: Blake Winter (Buffalo) MSC: 57K12 PDFBibTeX XMLCite \textit{N. Gügümcü} and \textit{L. H. Kauffman}, J. Knot Theory Ramifications 30, No. 11, Article ID 2150076, 28 p. (2021; Zbl 1491.57011) Full Text: DOI
Ito, Tetsuya A note on knot fertility. (English) Zbl 1483.57003 Kyushu J. Math. 75, No. 2, 273-276 (2021). MSC: 57K10 PDFBibTeX XMLCite \textit{T. Ito}, Kyushu J. Math. 75, No. 2, 273--276 (2021; Zbl 1483.57003) Full Text: DOI arXiv
Li, Xu’er; Zhu, Xuding Graphs with two crossings are 5-DP-colorable. (Chinese. English summary) Zbl 1488.05189 J. Zhejiang Norm. Univ., Nat. Sci. 44, No. 3, 252-258 (2021). MSC: 05C15 PDFBibTeX XMLCite \textit{X. Li} and \textit{X. Zhu}, J. Zhejiang Norm. Univ., Nat. Sci. 44, No. 3, 252--258 (2021; Zbl 1488.05189) Full Text: DOI
Su, Zhenhua; Huang, Yuanqiu The crossing numbers of \(({S_m} \cup {K_1}) + {D_n}\). (Chinese. English summary) Zbl 1488.05348 Acta Math. Appl. Sin. 44, No. 2, 197-208 (2021). MSC: 05C62 05C10 PDFBibTeX XMLCite \textit{Z. Su} and \textit{Y. Huang}, Acta Math. Appl. Sin. 44, No. 2, 197--208 (2021; Zbl 1488.05348)
Brittenham, Mark; Hermiller, Susan A counterexample to the Bernhard-Jablan unknotting conjecture. (English) Zbl 1480.57003 Exp. Math. 30, No. 4, 547-556 (2021). Reviewer: Kenneth A. Perko Jr. (Scarsdale) MSC: 57K10 PDFBibTeX XMLCite \textit{M. Brittenham} and \textit{S. Hermiller}, Exp. Math. 30, No. 4, 547--556 (2021; Zbl 1480.57003) Full Text: DOI arXiv
Richter, R. Bruce; Silva, André C.; Lee, Orlando Bounding the number of non-duplicates of the \(q\)-side in simple drawings of \(K_{p,q}\). (English) Zbl 1479.05233 Graphs Comb. 37, No. 6, 2697-2701 (2021). MSC: 05C62 68R10 PDFBibTeX XMLCite \textit{R. B. Richter} et al., Graphs Comb. 37, No. 6, 2697--2701 (2021; Zbl 1479.05233) Full Text: DOI arXiv
Ding, Zongpeng; Huang, Yuanqiu A note on the crossing number of the cone of a graph. (English) Zbl 1479.05073 Graphs Comb. 37, No. 6, 2351-2363 (2021). MSC: 05C10 05C62 PDFBibTeX XMLCite \textit{Z. Ding} and \textit{Y. Huang}, Graphs Comb. 37, No. 6, 2351--2363 (2021; Zbl 1479.05073) Full Text: DOI
Mathialagan, Surya On bipartite distinct distances in the plane. (English) Zbl 1479.52026 Electron. J. Comb. 28, No. 4, Research Paper P4.33, 25 p. (2021). Reviewer: László A. Székely (Columbia) MSC: 52C10 52C35 PDFBibTeX XMLCite \textit{S. Mathialagan}, Electron. J. Comb. 28, No. 4, Research Paper P4.33, 25 p. (2021; Zbl 1479.52026) Full Text: DOI arXiv
Lee, Hwa Jeong Arc presentations of Montesinos links. (English) Zbl 1480.57006 J. Knot Theory Ramifications 30, No. 7, Article ID 2150047, 17 p. (2021). Reviewer: Fabiola Manjarrez Gutiérrez (Cuernavaca) MSC: 57K10 PDFBibTeX XMLCite \textit{H. J. Lee}, J. Knot Theory Ramifications 30, No. 7, Article ID 2150047, 17 p. (2021; Zbl 1480.57006) Full Text: DOI
Korablev, Philipp; Tarkaev, Vladimir A relation between the crossing number and the height of a knotoid. (English) Zbl 1479.57024 J. Knot Theory Ramifications 30, No. 6, Article ID 2150040, 27 p. (2021). Reviewer: Mohamed Elhamdadi (Tampa) MSC: 57K12 PDFBibTeX XMLCite \textit{P. Korablev} and \textit{V. Tarkaev}, J. Knot Theory Ramifications 30, No. 6, Article ID 2150040, 27 p. (2021; Zbl 1479.57024) Full Text: DOI arXiv
Boden, Hans U.; Rushworth, William Minimal crossing number implies minimal supporting genus. (English) Zbl 1486.57005 Bull. Lond. Math. Soc. 53, No. 4, 1174-1184 (2021). Reviewer: Neslihan Gügümcü (Izmir) MSC: 57K10 57K12 PDFBibTeX XMLCite \textit{H. U. Boden} and \textit{W. Rushworth}, Bull. Lond. Math. Soc. 53, No. 4, 1174--1184 (2021; Zbl 1486.57005) Full Text: DOI arXiv
Zhang, Xin The crossing number of 2-planar graphs and its application. (Chinese. English summary) Zbl 1488.05147 Acta Math. Sin., Chin. Ser. 64, No. 3, 463-470 (2021). MSC: 05C10 05C62 PDFBibTeX XMLCite \textit{X. Zhang}, Acta Math. Sin., Chin. Ser. 64, No. 3, 463--470 (2021; Zbl 1488.05147)
Lackenby, Marc Links with splitting number one. (English) Zbl 1475.57008 Geom. Dedicata 214, 319-351 (2021). Reviewer: Kenneth A. Perko Jr. (Scarsdale) MSC: 57K10 57K30 PDFBibTeX XMLCite \textit{M. Lackenby}, Geom. Dedicata 214, 319--351 (2021; Zbl 1475.57008) Full Text: DOI arXiv
Jang, Hee Jeong; Lee, Sang Youl Crossing number of an alternating knot and canonical genus of its Whitehead double. (English) Zbl 1473.57014 Topology Appl. 301, Article ID 107516, 36 p. (2021). Reviewer: Alexander Stoimenow (Gwangju) MSC: 57K10 PDFBibTeX XMLCite \textit{H. J. Jang} and \textit{S. Y. Lee}, Topology Appl. 301, Article ID 107516, 36 p. (2021; Zbl 1473.57014) Full Text: DOI arXiv
Staš, Michal; Valiska, Juraj On problems of \(\mathcal{CF}\)-connected graphs for \({K}_{{m,n}} \). (English) Zbl 1472.05115 Bull. Aust. Math. Soc. 104, No. 2, 203-210 (2021). MSC: 05C62 05C10 68R10 PDFBibTeX XMLCite \textit{M. Staš} and \textit{J. Valiska}, Bull. Aust. Math. Soc. 104, No. 2, 203--210 (2021; Zbl 1472.05115) Full Text: DOI
Finashin, Sergey; Kharlamov, Viatcheslav Segre indices and Welschinger weights as options for invariant count of real lines. (English) Zbl 1475.14105 Int. Math. Res. Not. 2021, No. 6, 4051-4078 (2021). Reviewer: Alexander Kovačec (Coimbra) MSC: 14N15 14N20 PDFBibTeX XMLCite \textit{S. Finashin} and \textit{V. Kharlamov}, Int. Math. Res. Not. 2021, No. 6, 4051--4078 (2021; Zbl 1475.14105) Full Text: DOI arXiv
Yang, Xiwu; Wang, Yizhen The conjecture on the crossing number of \(K_{1, m, n}\) is true if Zarankiewicz’s conjecture holds. (English) Zbl 1470.05045 Graphs Comb. 37, No. 3, 1083-1088 (2021). MSC: 05C10 PDFBibTeX XMLCite \textit{X. Yang} and \textit{Y. Wang}, Graphs Comb. 37, No. 3, 1083--1088 (2021; Zbl 1470.05045) Full Text: DOI
Staš, Michal; Valiska, Juraj On the crossing numbers of join products of \(W_4+P_n\) and \(W_4+C_n\). (English) Zbl 1469.05048 Opusc. Math. 41, No. 1, 95-112 (2021). MSC: 05C10 05C38 PDFBibTeX XMLCite \textit{M. Staš} and \textit{J. Valiska}, Opusc. Math. 41, No. 1, 95--112 (2021; Zbl 1469.05048) Full Text: DOI
Ouyang, Zhangdong; Huang, Yuanqiu; Dong, Fengming The maximal 1-planarity and crossing numbers of graphs. (English) Zbl 1471.05028 Graphs Comb. 37, No. 4, 1333-1344 (2021). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 05C10 05C62 PDFBibTeX XMLCite \textit{Z. Ouyang} et al., Graphs Comb. 37, No. 4, 1333--1344 (2021; Zbl 1471.05028) Full Text: DOI
Denne, Elizabeth Ribbonlength and crossing number for folded ribbon knots. (English) Zbl 1470.57007 J. Knot Theory Ramifications 30, No. 4, Article ID 2150028, 21 p. (2021). MSC: 57K10 PDFBibTeX XMLCite \textit{E. Denne}, J. Knot Theory Ramifications 30, No. 4, Article ID 2150028, 21 p. (2021; Zbl 1470.57007) Full Text: DOI arXiv
Tarkaev, Vladimir A homological Casson type invariant of knotoids. (English) Zbl 1477.57011 Result. Math. 76, No. 3, Paper No. 142, 23 p. (2021). Reviewer: Neslihan Gügümcü (Izmir) MSC: 57K10 57K12 57K18 PDFBibTeX XMLCite \textit{V. Tarkaev}, Result. Math. 76, No. 3, Paper No. 142, 23 p. (2021; Zbl 1477.57011) Full Text: DOI arXiv
Ramírez Alfonsín, Jorge L.; Rasskin, Iván Ball packings for links. (English) Zbl 1469.52015 Eur. J. Comb. 96, Article ID 103351, 20 p. (2021). Reviewer: Anton Shutov (Vladimir) MSC: 52C17 57K10 05B40 51M99 PDFBibTeX XMLCite \textit{J. L. Ramírez Alfonsín} and \textit{I. Rasskin}, Eur. J. Comb. 96, Article ID 103351, 20 p. (2021; Zbl 1469.52015) Full Text: DOI arXiv
Urschel, John C.; Wellens, Jake Testing gap \(k\)-planarity is NP-complete. (English) Zbl 1516.68075 Inf. Process. Lett. 169, Article ID 106083, 8 p. (2021). MSC: 68R10 68Q17 PDFBibTeX XMLCite \textit{J. C. Urschel} and \textit{J. Wellens}, Inf. Process. Lett. 169, Article ID 106083, 8 p. (2021; Zbl 1516.68075) Full Text: DOI arXiv
Huang, Yuanqiu; Ouyang, Zhangdong; Dong, Fengming On the sizes of bipartite 1-planar graphs. (English) Zbl 1465.05048 Electron. J. Comb. 28, No. 2, Research Paper P2.22, 17 p. (2021). MSC: 05C10 05C62 PDFBibTeX XMLCite \textit{Y. Huang} et al., Electron. J. Comb. 28, No. 2, Research Paper P2.22, 17 p. (2021; Zbl 1465.05048) Full Text: DOI arXiv
Ouyang, Zhang Dong; Dong, Feng Ming; Zhang, Rui Xue; Tay, Eng Guan Properties of \(\pi\)-skew graphs with applications. (English) Zbl 1464.05129 Acta Math. Sin., Engl. Ser. 37, No. 4, 641-656 (2021). MSC: 05C10 05C62 05C76 PDFBibTeX XMLCite \textit{Z. D. Ouyang} et al., Acta Math. Sin., Engl. Ser. 37, No. 4, 641--656 (2021; Zbl 1464.05129) Full Text: DOI
Arroyo, Alan; Bensmail, Julien; Richter, R. Bruce Extending drawings of graphs to arrangements of pseudolines. (English) Zbl 1477.68194 J. Comput. Geom. 12, No. 2, 3-24 (2021). Reviewer: Charles J. Colbourn (Tempe) MSC: 68R10 52C30 68U05 PDFBibTeX XMLCite \textit{A. Arroyo} et al., J. Comput. Geom. 12, No. 2, 3--24 (2021; Zbl 1477.68194) Full Text: DOI arXiv
Duque, Frank; Fabila-Monroy, Ruy; Hernández-Vélez, César; Hidalgo-Toscano, Carlos Counting the number of crossings in geometric graphs. (English) Zbl 1506.68069 Inf. Process. Lett. 165, Article ID 106028, 5 p. (2021). MSC: 68R10 68U05 68W40 PDFBibTeX XMLCite \textit{F. Duque} et al., Inf. Process. Lett. 165, Article ID 106028, 5 p. (2021; Zbl 1506.68069) Full Text: DOI arXiv
Mroczkowski, Maciej On some moves on links and the Hopf crossing number. (English) Zbl 1455.57014 Mediterr. J. Math. 18, No. 1, Paper No. 7, 17 p. (2021). MSC: 57K10 PDFBibTeX XMLCite \textit{M. Mroczkowski}, Mediterr. J. Math. 18, No. 1, Paper No. 7, 17 p. (2021; Zbl 1455.57014) Full Text: DOI arXiv
Patne, R. M.; Avachar, G. R. Drawing of a graph on a surface. (English) Zbl 1451.05156 Int. J. Math. Comput. Sci. 16, No. 2, 819-830 (2021). MSC: 05C62 68R10 PDFBibTeX XMLCite \textit{R. M. Patne} and \textit{G. R. Avachar}, Int. J. Math. Comput. Sci. 16, No. 2, 819--830 (2021; Zbl 1451.05156) Full Text: Link
Wang, Yuxi; Huang, Yuanqiu The crossing number of Cartesian product of 5-wheel with any tree. (English) Zbl 1453.05025 Discuss. Math., Graph Theory 41, No. 1, 183-197 (2021). MSC: 05C10 05C38 05C76 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Y. Huang}, Discuss. Math., Graph Theory 41, No. 1, 183--197 (2021; Zbl 1453.05025) Full Text: DOI
Yang, Xiwu; Li, Ying A lower bound on the crossing number of the complete tripartite graph \(K_{1,2p+1,2q+1}\). (English) Zbl 1499.05173 Ars Comb. 152, 283-289 (2020). MSC: 05C10 PDFBibTeX XMLCite \textit{X. Yang} and \textit{Y. Li}, Ars Comb. 152, 283--289 (2020; Zbl 1499.05173)
Berežný, Štefan; Staš, Michal On the crossing number of join of the wheel on six vertices with the discrete graph. (English) Zbl 1488.05130 Carpathian J. Math. 36, No. 3, 381-390 (2020). MSC: 05C10 05C38 PDFBibTeX XMLCite \textit{Š. Berežný} and \textit{M. Staš}, Carpathian J. Math. 36, No. 3, 381--390 (2020; Zbl 1488.05130) Full Text: DOI
Su, Zhenhua; Klešč, Marián Crossing numbers of \(K_{1,1,4,n}\) and \(K_{1,1,4}\square T\). (English) Zbl 1488.05144 Ars Comb. 148, 137-148 (2020). MSC: 05C10 05C76 PDFBibTeX XMLCite \textit{Z. Su} and \textit{M. Klešč}, Ars Comb. 148, 137--148 (2020; Zbl 1488.05144)
Staš, Michal On the crossing number of join product of the discrete graph with special graphs of order five. (English) Zbl 1468.05053 Electron. J. Graph Theory Appl. 8, No. 2, 339-351 (2020). MSC: 05C10 05C38 PDFBibTeX XMLCite \textit{M. Staš}, Electron. J. Graph Theory Appl. 8, No. 2, 339--351 (2020; Zbl 1468.05053) Full Text: DOI
Yiew, Yip C.; Chia, Gek L.; Ong, Poh-Hwa Crossing number of Cartesian product of prism and path. (English) Zbl 1507.05028 AKCE Int. J. Graphs Comb. 17, No. 3, 1087-1093 (2020). MSC: 05C10 05C38 05C76 68R10 PDFBibTeX XMLCite \textit{Y. C. Yiew} et al., AKCE Int. J. Graphs Comb. 17, No. 3, 1087--1093 (2020; Zbl 1507.05028) Full Text: DOI
Shanthini, N.; Babujee, J. Baskar On the crossing number for Kronecker product of a tripartite graph with path. (English) Zbl 1471.05094 AKCE Int. J. Graphs Comb. 17, No. 3, 892-898 (2020). MSC: 05C76 05C62 05C10 PDFBibTeX XMLCite \textit{N. Shanthini} and \textit{J. B. Babujee}, AKCE Int. J. Graphs Comb. 17, No. 3, 892--898 (2020; Zbl 1471.05094) Full Text: DOI
Gayathri, S.; Bharati, R.; Staš, M.; Petrillová, J. Crossing numbers of Cartesian product of path with certain graphs on six vertices. (English) Zbl 1469.05146 Util. Math. 116, 13-20 (2020). MSC: 05C76 05C62 PDFBibTeX XMLCite \textit{S. Gayathri} et al., Util. Math. 116, 13--20 (2020; Zbl 1469.05146)
Dong, Xiaoyuan; Ma, Dengju The 2-page crossing number of \(C (3k, k)\). (Chinese. English summary) Zbl 1474.05103 J. Northeast Norm. Univ., Nat. Sci. Ed. 52, No. 4, 6-9 (2020). MSC: 05C10 05C62 PDFBibTeX XMLCite \textit{X. Dong} and \textit{D. Ma}, J. Northeast Norm. Univ., Nat. Sci. Ed. 52, No. 4, 6--9 (2020; Zbl 1474.05103) Full Text: DOI
Su, Zhenhua; Huang, Yuanqiu The crossing number of \({K_{5,n}}\backslash 2e\). (Chinese. English summary) Zbl 1474.05286 Acta Math. Appl. Sin. 43, No. 6, 984-999 (2020). MSC: 05C62 PDFBibTeX XMLCite \textit{Z. Su} and \textit{Y. Huang}, Acta Math. Appl. Sin. 43, No. 6, 984--999 (2020; Zbl 1474.05286)
Ouyang, Zhangdong; Wang, Jing; Huang, Yuanqiu On the Cartesian products with crossing number three. (English) Zbl 1477.05155 J. Comb. Math. Comb. Comput. 115, 245-251 (2020). Reviewer: V. Yegnanarayanan (Chennai) MSC: 05C76 05C10 05C62 PDFBibTeX XMLCite \textit{Z. Ouyang} et al., J. Comb. Math. Comb. Comput. 115, 245--251 (2020; Zbl 1477.05155)
Wang, Jing; Ouyang, Zhangdong; Huang, Yuanqiu The Cartesian product graphs with crossing number two when a factor is a path. (Chinese. English summary) Zbl 1474.05344 Acta Math. Appl. Sin. 43, No. 1, 119-128 (2020). MSC: 05C76 05C10 05C62 PDFBibTeX XMLCite \textit{J. Wang} et al., Acta Math. Appl. Sin. 43, No. 1, 119--128 (2020; Zbl 1474.05344)
Gayathri, S.; Bharati, R. Crossing number bounds for mesh connected and 3-regular mesh of trees. (English) Zbl 1461.05147 J. Comb. Math. Comb. Comput. 113, 263-280 (2020). MSC: 05C62 05C30 05C05 05C10 PDFBibTeX XMLCite \textit{S. Gayathri} and \textit{R. Bharati}, J. Comb. Math. Comb. Comput. 113, 263--280 (2020; Zbl 1461.05147)
Fallon, Joshua; Hogenson, Kirsten; Keough, Lauren; Lomelí, Mario; Schaefer, Marcus; Soberon, Pablo A note on the maximum rectilinear crossing number of spiders. (English) Zbl 1461.05111 J. Comb. Math. Comb. Comput. 113, 127-139 (2020). MSC: 05C30 05C62 PDFBibTeX XMLCite \textit{J. Fallon} et al., J. Comb. Math. Comb. Comput. 113, 127--139 (2020; Zbl 1461.05111) Full Text: arXiv
Clancy, Kieran; Haythorpe, Michael; Newcombe, Alex; Pegg, Ed jun. There are no cubic graphs on 26 vertices with crossing number 10 or 11. (English) Zbl 1459.05055 Graphs Comb. 36, No. 6, 1713-1721 (2020). MSC: 05C10 05C62 PDFBibTeX XMLCite \textit{K. Clancy} et al., Graphs Comb. 36, No. 6, 1713--1721 (2020; Zbl 1459.05055) Full Text: DOI arXiv
Malyutin, Andrei V. On the question of genericity of hyperbolic knots. (English) Zbl 1473.57017 Int. Math. Res. Not. 2020, No. 21, 7792-7828 (2020). Reviewer: Claus Ernst (Bowling Green) MSC: 57K10 PDFBibTeX XMLCite \textit{A. V. Malyutin}, Int. Math. Res. Not. 2020, No. 21, 7792--7828 (2020; Zbl 1473.57017) Full Text: DOI arXiv
Akimoto, Yuta; Taniyama, Kouki Unknotting numbers and crossing numbers of spatial embeddings of a planar graph. (English) Zbl 1459.57003 J. Knot Theory Ramifications 29, No. 14, Article ID 2050095, 13 p. (2020). MSC: 57K10 05C10 PDFBibTeX XMLCite \textit{Y. Akimoto} and \textit{K. Taniyama}, J. Knot Theory Ramifications 29, No. 14, Article ID 2050095, 13 p. (2020; Zbl 1459.57003) Full Text: DOI arXiv
Ishikawa, Masaharu; Mattman, Thomas W.; Namiki, Kazuya; Shimokawa, Koya Alternating knots with large boundary slope diameter. (English) Zbl 1458.57007 Collin, Olivier (ed.) et al., Characters in low-dimensional topology. A conference celebrating the work of Steven Boyer, Université du Québec à Montréal, Montréal, Québec, Canada, June 2–6, 2018. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM). Contemp. Math. 760, 207-216 (2020). MSC: 57K10 PDFBibTeX XMLCite \textit{M. Ishikawa} et al., Contemp. Math. 760, 207--216 (2020; Zbl 1458.57007) Full Text: DOI arXiv
Czabarka, Éva; Singgih, Inne; Székely, László; Wang, Zhiyu Some remarks on the midrange crossing constant. (English) Zbl 1474.05102 Stud. Sci. Math. Hung. 57, No. 2, 187-192 (2020). MSC: 05C10 52C10 05D40 PDFBibTeX XMLCite \textit{É. Czabarka} et al., Stud. Sci. Math. Hung. 57, No. 2, 187--192 (2020; Zbl 1474.05102) Full Text: DOI arXiv
K. C., Rajendra Prasad; Goudar, Venkanagouda M.; K. M., Niranjan Pathos vertex semi-middle graph of a tree. (English) Zbl 1463.05056 South East Asian J. Math. Math. Sci. 16, No. 1, 171-176 (2020). MSC: 05C05 05C10 05C45 05C75 PDFBibTeX XMLCite \textit{R. P. K. C.} et al., South East Asian J. Math. Math. Sci. 16, No. 1, 171--176 (2020; Zbl 1463.05056) Full Text: Link
Dong, Xiaoyuan; Ma, Dengju The crossing number of the bipartite permutation graph. (Chinese. English summary) Zbl 1463.05127 J. Nat. Sci. Heilongjiang Univ. 37, No. 3, 314-317 (2020). MSC: 05C10 05C62 PDFBibTeX XMLCite \textit{X. Dong} and \textit{D. Ma}, J. Nat. Sci. Heilongjiang Univ. 37, No. 3, 314--317 (2020; Zbl 1463.05127) Full Text: DOI
Arai, Masafumi; Taniyama, Kouki Knot diagrams on a punctured sphere as a model of string figures. (English) Zbl 1455.57003 J. Knot Theory Ramifications 29, No. 11, Article ID 2050071, 8 p. (2020). MSC: 57K10 57K20 PDFBibTeX XMLCite \textit{M. Arai} and \textit{K. Taniyama}, J. Knot Theory Ramifications 29, No. 11, Article ID 2050071, 8 p. (2020; Zbl 1455.57003) Full Text: DOI arXiv
Jabłonowski, Michał Triple-crossing number, the genus of a knot or link and torus knots. (English) Zbl 1455.57012 Topology Appl. 285, Article ID 107389, 5 p. (2020). MSC: 57K10 PDFBibTeX XMLCite \textit{M. Jabłonowski}, Topology Appl. 285, Article ID 107389, 5 p. (2020; Zbl 1455.57012) Full Text: DOI arXiv
Belousov, Yu. Semimeander crossing number of knots and related invariants. (English. Russian original) Zbl 1452.57003 J. Math. Sci., New York 251, No. 4, 444-452 (2020); translation from Zap. Nauchn. Semin. POMI 476, 20-33 (2018). MSC: 57K10 PDFBibTeX XMLCite \textit{Yu. Belousov}, J. Math. Sci., New York 251, No. 4, 444--452 (2020; Zbl 1452.57003); translation from Zap. Nauchn. Semin. POMI 476, 20--33 (2018) Full Text: DOI
Nagesh, Hadonahalli Mudalagiraiah On pathos block line cut-vertex graph of a tree. (English) Zbl 1451.05043 Commun. Korean Math. Soc. 35, No. 1, 1-12 (2020). MSC: 05C05 05C45 05C38 PDFBibTeX XMLCite \textit{H. M. Nagesh}, Commun. Korean Math. Soc. 35, No. 1, 1--12 (2020; Zbl 1451.05043) Full Text: DOI
Yasuda, Tomoyuki Amphicheirality of ribbon \(2\)-knots. (English) Zbl 1454.57011 J. Knot Theory Ramifications 29, No. 9, Article ID 2050069, 11 p. (2020). Reviewer: Inasa Nakamura (Kanazawa) MSC: 57K45 PDFBibTeX XMLCite \textit{T. Yasuda}, J. Knot Theory Ramifications 29, No. 9, Article ID 2050069, 11 p. (2020; Zbl 1454.57011) Full Text: DOI
Ding, Zongpeng Rotation and crossing numbers for join products. (English) Zbl 1451.05056 Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 4183-4196 (2020). MSC: 05C10 05C62 05C76 PDFBibTeX XMLCite \textit{Z. Ding}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 4183--4196 (2020; Zbl 1451.05056) Full Text: DOI
Aichholzer, Oswin; Duque, Frank; Fabila-Monroy, Ruy; García-Quintero, Oscar E.; Hidalgo-Toscano, Carlos An ongoing project to improve the rectilinear and the pseudolinear crossing constants. (English) Zbl 1447.05140 J. Graph Algorithms Appl. 24, No. 3, 421-432 (2020). MSC: 05C62 PDFBibTeX XMLCite \textit{O. Aichholzer} et al., J. Graph Algorithms Appl. 24, No. 3, 421--432 (2020; Zbl 1447.05140) Full Text: DOI arXiv
Gitler, Isidoro; Sandoval-Angeles, Gustavo An algorithm for delta-wye reduction of almost-planar graphs. (English) Zbl 1447.05195 Discrete Appl. Math. 285, 631-641 (2020). MSC: 05C85 05C10 PDFBibTeX XMLCite \textit{I. Gitler} and \textit{G. Sandoval-Angeles}, Discrete Appl. Math. 285, 631--641 (2020; Zbl 1447.05195) Full Text: DOI
de Mesmay, Arnaud; Schaefer, Marcus; Sedgwick, Eric Link crossing number is NP-hard. (English) Zbl 1455.57010 J. Knot Theory Ramifications 29, No. 6, Article ID 2050043, 15 p. (2020). Reviewer: Mehdi Yazdi (Oxford) MSC: 57K10 57M15 68Q17 68R10 PDFBibTeX XMLCite \textit{A. de Mesmay} et al., J. Knot Theory Ramifications 29, No. 6, Article ID 2050043, 15 p. (2020; Zbl 1455.57010) Full Text: DOI arXiv
Ouyang, Zhangdong A note on the crossing numbers of 5-regular graphs. (English) Zbl 1446.05025 Discuss. Math., Graph Theory 40, No. 4, 1127-1140 (2020). MSC: 05C10 05C62 PDFBibTeX XMLCite \textit{Z. Ouyang}, Discuss. Math., Graph Theory 40, No. 4, 1127--1140 (2020; Zbl 1446.05025) Full Text: DOI