Gan, Zhiyong; Xu, Yanping Hamiltonian and long cycles in bipartite graphs with connectivity. (English) Zbl 07358525 Discrete Appl. Math. 301, 49-64 (2021). MSC: 05 05C PDF BibTeX XML Cite \textit{Z. Gan} and \textit{Y. Xu}, Discrete Appl. Math. 301, 49--64 (2021; Zbl 07358525) Full Text: DOI
Lu, Linyuan; Wang, Zhiyu On Hamiltonian Berge cycles in \([3]\)-uniform hypergraphs. (English) Zbl 07358453 Discrete Math. 344, No. 8, Article ID 112462, 9 p. (2021). MSC: 05C PDF BibTeX XML Cite \textit{L. Lu} and \textit{Z. Wang}, Discrete Math. 344, No. 8, Article ID 112462, 9 p. (2021; Zbl 07358453) Full Text: DOI
Bellmann, Johann; Schülke, Bjarne Short proof that Kneser graphs are Hamiltonian for \(n \geqslant 4k\). (English) Zbl 07358344 Discrete Math. 344, No. 7, Article ID 112430, 2 p. (2021). MSC: 05C45 PDF BibTeX XML Cite \textit{J. Bellmann} and \textit{B. Schülke}, Discrete Math. 344, No. 7, Article ID 112430, 2 p. (2021; Zbl 07358344) Full Text: DOI
Sun, Yangjian; Liu, Changjian The Poincaré bifurcation of a SD oscillator. (English) Zbl 07355161 Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1565-1577 (2021). MSC: 34A08 34C23 34C05 34C15 PDF BibTeX XML Cite \textit{Y. Sun} and \textit{C. Liu}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1565--1577 (2021; Zbl 07355161) Full Text: DOI
Liu, Xiaonan; Yu, Xingxing Number of Hamiltonian cycles in planar triangulations. (English) Zbl 07352343 SIAM J. Discrete Math. 35, No. 2, 1005-1021 (2021). MSC: 05C30 05C38 05C40 05C10 05C45 PDF BibTeX XML Cite \textit{X. Liu} and \textit{X. Yu}, SIAM J. Discrete Math. 35, No. 2, 1005--1021 (2021; Zbl 07352343) Full Text: DOI
Chaplick, Steven; Fomin, Fedor V.; Golovach, Petr A.; Knop, Dušan; Zeman, Peter Kernelization of graph Hamiltonicity: proper \(H\)-graphs. (English) Zbl 07340687 SIAM J. Discrete Math. 35, No. 2, 840-892 (2021). MSC: 68R10 05C45 05C70 05C85 68Q27 PDF BibTeX XML Cite \textit{S. Chaplick} et al., SIAM J. Discrete Math. 35, No. 2, 840--892 (2021; Zbl 07340687) Full Text: DOI
de Carvalho Braga, Denis; Fernandes da Fonseca, Alexander; Gonçalves, Luiz Fernando; Mello, Luis Fernando Limit cycles bifurcating from an invisible fold-fold in planar piecewise Hamiltonian systems. (English) Zbl 07329763 J. Dyn. Control Syst. 27, No. 1, 179-204 (2021). MSC: 34A36 34C05 34C23 PDF BibTeX XML Cite \textit{D. de Carvalho Braga} et al., J. Dyn. Control Syst. 27, No. 1, 179--204 (2021; Zbl 07329763) Full Text: DOI
Chiba, Shuya; Furuya, Michitaka A characterization of 2-connected \(\{ K_{1 , 3} , N_{3 , 1 , 1} \}\)-free non-Hamiltonian graphs. (English) Zbl 1460.05105 Discrete Math. 344, No. 5, Article ID 112321, 8 p. (2021). MSC: 05C45 PDF BibTeX XML Cite \textit{S. Chiba} and \textit{M. Furuya}, Discrete Math. 344, No. 5, Article ID 112321, 8 p. (2021; Zbl 1460.05105) Full Text: DOI
Li, Shuchao; Li, Xuechao; Wei, Bing Long cycles through specified vertices. (English) Zbl 1460.05107 Discrete Math. 344, No. 4, Article ID 112274, 12 p. (2021). MSC: 05C45 05C38 05C12 05C40 PDF BibTeX XML Cite \textit{S. Li} et al., Discrete Math. 344, No. 4, Article ID 112274, 12 p. (2021; Zbl 1460.05107) Full Text: DOI
Asratian, Armen S.; Granholm, Jonas B.; Khachatryan, Nikolay K. Some local-global phenomena in locally finite graphs. (English) Zbl 1460.05104 Discrete Appl. Math. 293, 166-176 (2021). MSC: 05C45 05C63 PDF BibTeX XML Cite \textit{A. S. Asratian} et al., Discrete Appl. Math. 293, 166--176 (2021; Zbl 1460.05104) Full Text: DOI
Cai, Meilan; Han, Maoan Limit cycle bifurcations in a class of piecewise smooth cubic systems with multiple parameters. (English) Zbl 07327271 Commun. Pure Appl. Anal. 20, No. 1, 55-75 (2021). Reviewer: Albert Luo (Edwardsville) MSC: 34C05 34C07 34C23 34A36 PDF BibTeX XML Cite \textit{M. Cai} and \textit{M. Han}, Commun. Pure Appl. Anal. 20, No. 1, 55--75 (2021; Zbl 07327271) Full Text: DOI
Chen, Hong-Bin; Fu, Hung-Lin; Guo, Jun-Yi Hamiltonicity in prime sum graphs. (English) Zbl 1459.05149 Graphs Comb. 37, No. 1, 209-219 (2021). MSC: 05C45 PDF BibTeX XML Cite \textit{H.-B. Chen} et al., Graphs Comb. 37, No. 1, 209--219 (2021; Zbl 1459.05149) Full Text: DOI
Chen, Xiaozheng; Li, Xueliang Proper vertex-pancyclicity of edge-colored complete graphs without joint monochromatic triangles. (English) Zbl 07323969 Discrete Appl. Math. 294, 167-180 (2021). MSC: 05C38 05C15 05C45 PDF BibTeX XML Cite \textit{X. Chen} and \textit{X. Li}, Discrete Appl. Math. 294, 167--180 (2021; Zbl 07323969) Full Text: DOI
Konstantinova, Elena V.; Medvedev, Alexey N. Small cycles, generalized prisms and Hamiltonian cycles in the Bubble-sort graph. (English) Zbl 07319597 Inf. Process. Lett. 168, Article ID 106094, 9 p. (2021). MSC: 68Q PDF BibTeX XML Cite \textit{E. V. Konstantinova} and \textit{A. N. Medvedev}, Inf. Process. Lett. 168, Article ID 106094, 9 p. (2021; Zbl 07319597) Full Text: DOI
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems. (English) Zbl 07319429 J. Differ. Equations 280, 139-178 (2021). Reviewer: Hao Wu (Nanjing) MSC: 34C05 34C29 34C25 PDF BibTeX XML Cite \textit{Y. Xiong} et al., J. Differ. Equations 280, 139--178 (2021; Zbl 07319429) Full Text: DOI
Asratian, Armen S.; Granholm, Jonas B.; Khachatryan, Nikolay K. A localization method in Hamiltonian graph theory. (English) Zbl 1459.05148 J. Comb. Theory, Ser. B 148, 209-238 (2021). MSC: 05C45 05C63 PDF BibTeX XML Cite \textit{A. S. Asratian} et al., J. Comb. Theory, Ser. B 148, 209--238 (2021; Zbl 1459.05148) Full Text: DOI
Wang, Ruixia Hamiltonian cycle problem in strong \(k\)-quasi-transitive digraphs with large diameter. (English) Zbl 1458.05095 Discuss. Math., Graph Theory 41, No. 2, 685-690 (2021). MSC: 05C20 05C25 05C45 PDF BibTeX XML Cite \textit{R. Wang}, Discuss. Math., Graph Theory 41, No. 2, 685--690 (2021; Zbl 1458.05095) Full Text: DOI
Špacapan, Simon A counterexample to prism-Hamiltonicity of 3-connected planar graphs. (English) Zbl 1457.05061 J. Comb. Theory, Ser. B 146, 364-371 (2021). MSC: 05C45 05C10 05C40 05C76 PDF BibTeX XML Cite \textit{S. Špacapan}, J. Comb. Theory, Ser. B 146, 364--371 (2021; Zbl 1457.05061) Full Text: DOI
Korándi, Dániel; Lang, Richard; Letzter, Shoham; Pokrovskiy, Alexey Minimum degree conditions for monochromatic cycle partitioning. (English) Zbl 1457.05113 J. Comb. Theory, Ser. B 146, 96-123 (2021). MSC: 05D10 05C15 05C45 PDF BibTeX XML Cite \textit{D. Korándi} et al., J. Comb. Theory, Ser. B 146, 96--123 (2021; Zbl 1457.05113) Full Text: DOI
Adamus, Janusz On dominating pair degree conditions for Hamiltonicity in balanced bipartite digraphs. (English) Zbl 1456.05094 Discrete Math. 344, No. 3, Article ID 112240, 10 p. (2021). MSC: 05C45 05C69 05C20 PDF BibTeX XML Cite \textit{J. Adamus}, Discrete Math. 344, No. 3, Article ID 112240, 10 p. (2021; Zbl 1456.05094) Full Text: DOI
Hao, Rong-Xia; Tian, Zengxian The vertex-pancyclicity of data center networks. (English) Zbl 07300958 Theor. Comput. Sci. 855, 74-89 (2021). MSC: 68Q PDF BibTeX XML Cite \textit{R.-X. Hao} and \textit{Z. Tian}, Theor. Comput. Sci. 855, 74--89 (2021; Zbl 07300958) Full Text: DOI
Lin, Huiqiu; Zhang, Yuke Extremal problems on distance spectra of graphs. (English) Zbl 1454.05070 Discrete Appl. Math. 289, 139-147 (2021). MSC: 05C50 05C45 05C35 PDF BibTeX XML Cite \textit{H. Lin} and \textit{Y. Zhang}, Discrete Appl. Math. 289, 139--147 (2021; Zbl 1454.05070) Full Text: DOI
Ramirez, O.; Alves, A. M. Bifurcation of limit cycles by perturbing piecewise non-Hamiltonian systems with nonlinear switching manifold. (English) Zbl 1458.37061 Nonlinear Anal., Real World Appl. 57, Article ID 103188, 14 p. (2021). Reviewer: Alexander Grin (Grodno) MSC: 37J20 37G15 34C05 34C07 PDF BibTeX XML Cite \textit{O. Ramirez} and \textit{A. M. Alves}, Nonlinear Anal., Real World Appl. 57, Article ID 103188, 14 p. (2021; Zbl 1458.37061) Full Text: DOI
Zheng, Wei; Wideł, Wojciech; Wang, Ligong On implicit heavy subgraphs and Hamiltonicity of 2-connected graphs. (English) Zbl 1453.05058 Discuss. Math., Graph Theory 41, No. 1, 167-181 (2021). MSC: 05C45 05C40 05C38 05C07 PDF BibTeX XML Cite \textit{W. Zheng} et al., Discuss. Math., Graph Theory 41, No. 1, 167--181 (2021; Zbl 1453.05058) Full Text: DOI
Du, Shaofei; Kutnar, Klavdija; Marušič, Dragan Hamilton cycles in primitive vertex-transitive graphs of order a product of two primes – the case \(\mathrm{PSL}(2,q^2)\) acting on cosets of \(\mathrm{PGL}(2, q)\). (English) Zbl 07357750 Ars Math. Contemp. 19, No. 1, 1-15 (2020). MSC: 05C45 05C25 PDF BibTeX XML Cite \textit{S. Du} et al., Ars Math. Contemp. 19, No. 1, 1--15 (2020; Zbl 07357750) Full Text: DOI
Zhang, Bo; Yang, Weihua On the existence of specified cycles in bipartite tournaments. (English) Zbl 07351057 Util. Math. 115, 129-142 (2020). MSC: 05C38 05C20 05C45 PDF BibTeX XML Cite \textit{B. Zhang} and \textit{W. Yang}, Util. Math. 115, 129--142 (2020; Zbl 07351057)
Cai, Jun-qing; Wang, Lin A generalization of implicit Ore-condition for Hamiltonicity of \(k\)-connected graphs. (English) Zbl 07342563 Acta Math. Appl. Sin., Engl. Ser. 36, No. 3, 620-626 (2020). MSC: 05C45 05C40 05C38 PDF BibTeX XML Cite \textit{J.-q. Cai} and \textit{L. Wang}, Acta Math. Appl. Sin., Engl. Ser. 36, No. 3, 620--626 (2020; Zbl 07342563) Full Text: DOI
Darbinyan, Samvel Kh. A new sufficient condition for a digraph to be Hamiltonian – a proof of Manoussakis conjecture. (English) Zbl 07341698 Discrete Math. Theor. Comput. Sci. 22, No. 4, Paper No. 12, 21 p. (2020). MSC: 05C20 05C45 PDF BibTeX XML Cite \textit{S. Kh. Darbinyan}, Discrete Math. Theor. Comput. Sci. 22, No. 4, Paper No. 12, 21 p. (2020; Zbl 07341698) Full Text: Link
Chen, Tao Upper bounds on minimum balanced bipartition of Hamilton plane graphs. (Chinese. English summary) Zbl 07339438 Oper. Res. Trans. 24, No. 3, 161-166 (2020). MSC: 05C70 05C10 05C45 PDF BibTeX XML Cite \textit{T. Chen}, Oper. Res. Trans. 24, No. 3, 161--166 (2020; Zbl 07339438) Full Text: DOI
Glock, Stefan; Joos, Felix; Kühn, Daniela; Osthus, Deryk Euler tours in hypergraphs. (English) Zbl 07326462 Combinatorica 40, No. 5, 679-690 (2020). Reviewer: Esther R. Lamken (San Francisco) MSC: 05B40 05C45 05C65 05C81 PDF BibTeX XML Cite \textit{S. Glock} et al., Combinatorica 40, No. 5, 679--690 (2020; Zbl 07326462) Full Text: DOI
Cheng, Dongqin Fault-free Hamiltonian cycle including given edges in folded hypercubes with faulty edges. (English) Zbl 1456.05089 Discrete Math. Algorithms Appl. 12, No. 3, Article ID 2050036, 20 p. (2020). MSC: 05C38 90B10 PDF BibTeX XML Cite \textit{D. Cheng}, Discrete Math. Algorithms Appl. 12, No. 3, Article ID 2050036, 20 p. (2020; Zbl 1456.05089) Full Text: DOI
Cary, Michael Cycle intersection graphs and minimum decycling sets of even graphs. (English) Zbl 1456.05031 Discrete Math. Algorithms Appl. 12, No. 2, Article ID 2050027, 12 p. (2020). MSC: 05C05 05C38 05C45 PDF BibTeX XML Cite \textit{M. Cary}, Discrete Math. Algorithms Appl. 12, No. 2, Article ID 2050027, 12 p. (2020; Zbl 1456.05031) Full Text: DOI
Liu, Peng; Zhou, Anqi; Huo, Bing; Liu, Xijun Limit cycle bifurcations in the in-plane galloping of iced transmission line. (English) Zbl 07315413 J. Appl. Anal. Comput. 10, No. 4, 1355-1374 (2020). MSC: 37J20 37G15 37L65 PDF BibTeX XML Cite \textit{P. Liu} et al., J. Appl. Anal. Comput. 10, No. 4, 1355--1374 (2020; Zbl 07315413) Full Text: DOI
Han, Maoan; Liu, Shanshan Further studies on limit cycle bifurcations for piecewise smooth near-Hamiltonian systems with multiple parameters. (English) Zbl 1455.37045 J. Appl. Anal. Comput. 10, No. 2, 816-829 (2020). MSC: 37G15 34C07 34A36 PDF BibTeX XML Cite \textit{M. Han} and \textit{S. Liu}, J. Appl. Anal. Comput. 10, No. 2, 816--829 (2020; Zbl 1455.37045) Full Text: DOI
Wang, Jiaxin; Zhao, Liqin The cyclicity of period annulus of degenerate quadratic Hamiltonian systems with polycycles \(S^{(2)}\) or \(S^{(3)}\) under perturbations of piecewise smooth polynomials. (English) Zbl 07306758 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 15, Article ID 2050230, 18 p. (2020). MSC: 34C23 34C37 34E10 34C05 37J40 PDF BibTeX XML Cite \textit{J. Wang} and \textit{L. Zhao}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 15, Article ID 2050230, 18 p. (2020; Zbl 07306758) Full Text: DOI
Polcyn, J.; Reiher, Chr.; Rödl, V.; Ruciński, A.; Schacht, M.; Schülke, B. Minimum pair degree condition for tight Hamiltonian cycles in 4-niform hypergraphs. (English) Zbl 07301142 Acta Math. Hung. 161, No. 2, 647-699 (2020). Reviewer: Mirko Lepović (Kragujevac) MSC: 05C65 05C45 PDF BibTeX XML Cite \textit{J. Polcyn} et al., Acta Math. Hung. 161, No. 2, 647--699 (2020; Zbl 07301142) Full Text: DOI
Zhang, Lei Long cycles in graphs with diameter 2. (Chinese. English summary) Zbl 07296016 Math. Pract. Theory 50, No. 10, 309-314 (2020). MSC: 05C38 05C12 PDF BibTeX XML Cite \textit{L. Zhang}, Math. Pract. Theory 50, No. 10, 309--314 (2020; Zbl 07296016)
Miao, Jiale; Yang, Junmin On the expansion of the Melnikov function near a double heteroclinic loop with two nilpotent cusps. (English) Zbl 07295653 J. Shanghai Norm. Univ., Nat. Sci. 49, No. 3, 295-310 (2020). MSC: 34C05 34C37 34E10 PDF BibTeX XML Cite \textit{J. Miao} and \textit{J. Yang}, J. Shanghai Norm. Univ., Nat. Sci. 49, No. 3, 295--310 (2020; Zbl 07295653) Full Text: DOI
Li, Jingyun; Ren, Han A new cycle structure theorem for Hamiltonian graphs. (Chinese. English summary) Zbl 07295231 J. East China Norm. Univ., Nat. Sci. Ed. 2020, No. 4, 45-50 (2020). MSC: 05C45 05C38 PDF BibTeX XML Cite \textit{J. Li} and \textit{H. Ren}, J. East China Norm. Univ., Nat. Sci. Ed. 2020, No. 4, 45--50 (2020; Zbl 07295231) Full Text: DOI
Anastos, Michael; Frieze, Alan Hamilton cycles in random graphs with minimum degree at least 3: an improved analysis. (English) Zbl 1454.05065 Random Struct. Algorithms 57, No. 4, 865-878 (2020). MSC: 05C45 05C80 PDF BibTeX XML Cite \textit{M. Anastos} and \textit{A. Frieze}, Random Struct. Algorithms 57, No. 4, 865--878 (2020; Zbl 1454.05065) Full Text: DOI
Győri, Ervin; Plummer, Michael D.; Ye, Dong; Zha, Xiaoya Cycle traversability for claw-free graphs and polyhedral maps. (English) Zbl 07287385 Combinatorica 40, No. 3, 405-433 (2020). Reviewer: Hang Lau (Montréal) MSC: 05C38 05C40 PDF BibTeX XML Cite \textit{E. Győri} et al., Combinatorica 40, No. 3, 405--433 (2020; Zbl 07287385) Full Text: DOI
Ruciński, Andrzej; Żak, Andrzej On the minimum size of Hamilton saturated hypergraphs. (English) Zbl 1453.05081 Electron. J. Comb. 27, No. 4, Research Paper P4.36, 16 p. (2020). MSC: 05C65 05C35 05C12 PDF BibTeX XML Cite \textit{A. Ruciński} and \textit{A. Żak}, Electron. J. Comb. 27, No. 4, Research Paper P4.36, 16 p. (2020; Zbl 1453.05081) Full Text: DOI
Ge, Jun; Ning, Bo Spectral radius and Hamiltonian properties of graphs. II. (English) Zbl 1452.05104 Linear Multilinear Algebra 68, No. 11, 2298-2315 (2020). MSC: 05C50 15A18 05C38 05C45 PDF BibTeX XML Cite \textit{J. Ge} and \textit{B. Ning}, Linear Multilinear Algebra 68, No. 11, 2298--2315 (2020; Zbl 1452.05104) 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 PDF BibTeX XML Cite \textit{H. M. Nagesh}, Commun. Korean Math. Soc. 35, No. 1, 1--12 (2020; Zbl 1451.05043) Full Text: DOI
Turau, Volker A distributed algorithm for finding Hamiltonian cycles in random graphs in \(O(\log n)\) time. (English) Zbl 07270953 Theor. Comput. Sci. 846, 61-74 (2020). MSC: 68Q PDF BibTeX XML Cite \textit{V. Turau}, Theor. Comput. Sci. 846, 61--74 (2020; Zbl 07270953) Full Text: DOI
Coulson, Matthew; Perarnau, Guillem A rainbow Dirac’s theorem. (English) Zbl 1450.05050 SIAM J. Discrete Math. 34, No. 3, 1670-1692 (2020). MSC: 05C45 05C55 05D40 05C07 PDF BibTeX XML Cite \textit{M. Coulson} and \textit{G. Perarnau}, SIAM J. Discrete Math. 34, No. 3, 1670--1692 (2020; Zbl 1450.05050) Full Text: DOI
da Fonseca, Alexander Fernandes; Llibre, Jaume; Mello, Luis Fernando Limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points. (English) Zbl 1453.34047 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 11, Article ID 2050157, 8 p. (2020). Reviewer: Jeidy Johana Jimenez (Goiânia) MSC: 34C07 34A36 34C05 PDF BibTeX XML Cite \textit{A. F. da Fonseca} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 11, Article ID 2050157, 8 p. (2020; Zbl 1453.34047) Full Text: DOI
Singhun, Sirirat; Karudilok, Krit; Boonklurb, Ratinan Some forbidden rectangular chessboards with generalized Knight’s moves. (English) Zbl 07256129 Thai J. Math., Spec. Iss.: Annual Meeting in Mathematics 2019, 133-145 (2020). MSC: 05C38 05C45 PDF BibTeX XML Cite \textit{S. Singhun} et al., Thai J. Math. , 133--145 (2020; Zbl 07256129) Full Text: Link
Johansson, Tony On Hamilton cycles in Erdős-Rényi subgraphs of large graphs. (English) Zbl 1451.05132 Random Struct. Algorithms 57, No. 1, 132-149 (2020). MSC: 05C45 05C07 05C35 PDF BibTeX XML Cite \textit{T. Johansson}, Random Struct. Algorithms 57, No. 1, 132--149 (2020; Zbl 1451.05132) Full Text: DOI
Zhang, Li; Wang, Chenchen; Hu, Zhaoping Limit cycle bifurcations from an order-3 nilpotent center of cubic Hamiltonian systems perturbed by cubic polynomials. (English) Zbl 1455.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2050126, 11 p. (2020). Reviewer: Majid Gazor (Isfahan) MSC: 34C23 34C05 34C07 37J40 34E10 PDF BibTeX XML Cite \textit{L. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2050126, 11 p. (2020; Zbl 1455.34041) Full Text: DOI
Morris, Dave Witte; Wilk, Kirsten Cayley graphs of order \(kp\) are Hamiltonian for \(k < 48\). (English) Zbl 1441.05106 Art Discrete Appl. Math. 3, No. 2, Paper No. P2.02, 17 p. (2020). MSC: 05C25 05C45 PDF BibTeX XML Cite \textit{D. W. Morris} and \textit{K. Wilk}, Art Discrete Appl. Math. 3, No. 2, Paper No. P2.02, 17 p. (2020; Zbl 1441.05106) Full Text: DOI
Eshragh, Ali; Filar, Jerzy A.; Kalinowski, Thomas; Mohammadian, Sogol Hamiltonian cycles and subsets of discounted occupational measures. (English) Zbl 1455.90145 Math. Oper. Res. 45, No. 2, 713-731 (2020). MSC: 90C40 90C35 05C80 05C81 PDF BibTeX XML Cite \textit{A. Eshragh} et al., Math. Oper. Res. 45, No. 2, 713--731 (2020; Zbl 1455.90145) Full Text: DOI
Long, Shude; Ren, Han 4-edge-connected 4-regular maps on the projective plane. (English) Zbl 1444.05047 Ars Math. Contemp. 18, No. 1, 51-71 (2020). MSC: 05C10 05C30 05C45 PDF BibTeX XML Cite \textit{S. Long} and \textit{H. Ren}, Ars Math. Contemp. 18, No. 1, 51--71 (2020; Zbl 1444.05047) Full Text: DOI
He, Weihua; Li, Hao; Sun, Qiang Locating any two vertices on Hamiltonian cycles in large graphs. (English) Zbl 1443.05110 Discrete Math. 343, No. 9, Article ID 111941, 14 p. (2020). MSC: 05C45 PDF BibTeX XML Cite \textit{W. He} et al., Discrete Math. 343, No. 9, Article ID 111941, 14 p. (2020; Zbl 1443.05110) Full Text: DOI
Han, Jie; Zhao, Yi Hamiltonicity in randomly perturbed hypergraphs. (English) Zbl 1443.05109 J. Comb. Theory, Ser. B 144, 14-31 (2020). MSC: 05C45 05C80 05C65 PDF BibTeX XML Cite \textit{J. Han} and \textit{Y. Zhao}, J. Comb. Theory, Ser. B 144, 14--31 (2020; Zbl 1443.05109) Full Text: DOI
Klocker, Benedikt; Fleischner, Herbert; Raidl, Günther R. A model for finding transition-minors. (English) Zbl 1442.05121 Discrete Appl. Math. 283, 242-264 (2020). MSC: 05C45 05C40 05C83 90C10 PDF BibTeX XML Cite \textit{B. Klocker} et al., Discrete Appl. Math. 283, 242--264 (2020; Zbl 1442.05121) Full Text: DOI
Gan, Zhiyong; Lou, Dingjun; Xu, Yanping Hamiltonian cycle properties in \(k\)-extendable non-bipartite graphs with high connectivity. (English) Zbl 1442.05120 Graphs Comb. 36, No. 4, 1043-1058 (2020). MSC: 05C45 05C70 05C38 PDF BibTeX XML Cite \textit{Z. Gan} et al., Graphs Comb. 36, No. 4, 1043--1058 (2020; Zbl 1442.05120) Full Text: DOI
Hell, Pavol; Nishiyama, Hiroshi; Stacho, Ladislav Hamiltonian cycles in covering graphs of trees. (English) Zbl 1441.05131 Discrete Appl. Math. 282, 271-281 (2020). MSC: 05C45 05C05 05C70 05C85 PDF BibTeX XML Cite \textit{P. Hell} et al., Discrete Appl. Math. 282, 271--281 (2020; Zbl 1441.05131) Full Text: DOI
Teh, Wen Chean; Ng, Zhen Chuan; Javaid, Muhammad; Chern, Zi Jing Parikh word representability of bipartite permutation graphs. (English) Zbl 1441.05165 Discrete Appl. Math. 282, 208-221 (2020). MSC: 05C62 05A05 05C45 05C38 68R15 PDF BibTeX XML Cite \textit{W. C. Teh} et al., Discrete Appl. Math. 282, 208--221 (2020; Zbl 1441.05165) Full Text: DOI
Chen, Hebai; Tang, Yilei Global dynamics of the Josephson equation in \(TS^1\). (English) Zbl 1447.37056 J. Differ. Equations 269, No. 6, 4884-4913 (2020). Reviewer: Changjin Xu (Guiyang) MSC: 37J20 37J25 34A05 34A34 34C14 PDF BibTeX XML Cite \textit{H. Chen} and \textit{Y. Tang}, J. Differ. Equations 269, No. 6, 4884--4913 (2020; Zbl 1447.37056) Full Text: DOI
Wei, Lijun; Zhang, Xiang Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems. (English) Zbl 1444.34058 Nonlinearity 33, No. 6, 2723-2754 (2020). MSC: 34C07 34C05 34C08 34C23 34C37 34E10 37J40 PDF BibTeX XML Cite \textit{L. Wei} and \textit{X. Zhang}, Nonlinearity 33, No. 6, 2723--2754 (2020; Zbl 1444.34058) Full Text: DOI
Debiasio, Louis; Krueger, Robert A.; Pritikin, Dan; Thompson, Eli Hamiltonian cycles in \(k\)-partite graphs. (English) Zbl 07202777 J. Graph Theory 94, No. 1, 92-112 (2020). MSC: 05C PDF BibTeX XML Cite \textit{L. Debiasio} et al., J. Graph Theory 94, No. 1, 92--112 (2020; Zbl 07202777) Full Text: DOI
Soltész, Daniel Even cycle creating paths. (English) Zbl 07202760 J. Graph Theory 93, No. 3, 350-362 (2020). MSC: 05C PDF BibTeX XML Cite \textit{D. Soltész}, J. Graph Theory 93, No. 3, 350--362 (2020; Zbl 07202760) Full Text: DOI
Forcan, Jovana; Mikalački, Mirjana On the WalkerMaker-WalkerBreaker games. (English) Zbl 1439.05153 Discrete Appl. Math. 279, 69-79 (2020). MSC: 05C57 91A43 91A05 05C45 05C40 PDF BibTeX XML Cite \textit{J. Forcan} and \textit{M. Mikalački}, Discrete Appl. Math. 279, 69--79 (2020; Zbl 1439.05153) Full Text: DOI
Zhu, Weiguo; Sun, Yongqi; Wu, Yali; Zhang, Hanshuo Exact values of multicolor Ramsey numbers \(R_l(C_{\le l+1})\). (English) Zbl 1442.05130 Graphs Comb. 36, No. 3, 839-852 (2020). Reviewer: Gregory Loren McColm (Tampa) MSC: 05C55 05C12 05C15 05C35 05C45 05D10 PDF BibTeX XML Cite \textit{W. Zhu} et al., Graphs Comb. 36, No. 3, 839--852 (2020; Zbl 1442.05130) Full Text: DOI
Asplund, John; Keranen, Melissa \(\mathrm{TS}(v, \lambda)\) with cyclic 2-intersecting Gray codes: \(v\equiv 0\) or \(4\pmod{12}\). (English) Zbl 1439.05036 Graphs Comb. 36, No. 3, 415-436 (2020). MSC: 05B05 05B07 05C38 94B99 05C45 PDF BibTeX XML Cite \textit{J. Asplund} and \textit{M. Keranen}, Graphs Comb. 36, No. 3, 415--436 (2020; Zbl 1439.05036) Full Text: DOI
Lee, Hung-Chih; Chen, Zhen-Chun Decomposing the complete graph into Hamiltonian paths (cycles) and 3-stars. (English) Zbl 1439.05190 Discuss. Math., Graph Theory 40, No. 3, 823-839 (2020). MSC: 05C70 05C38 05C45 PDF BibTeX XML Cite \textit{H.-C. Lee} and \textit{Z.-C. Chen}, Discuss. Math., Graph Theory 40, No. 3, 823--839 (2020; Zbl 1439.05190) Full Text: DOI
Yin, Jian-Hua; Li, Sha-Sha On factorable bigraphic pairs. (English) Zbl 1439.05055 Discuss. Math., Graph Theory 40, No. 3, 787-793 (2020). MSC: 05C07 05C45 PDF BibTeX XML Cite \textit{J.-H. Yin} and \textit{S.-S. Li}, Discuss. Math., Graph Theory 40, No. 3, 787--793 (2020; Zbl 1439.05055) Full Text: DOI
Cameron, Kathie; Thomassen, Carsten Cycles containing all the odd-degree vertices. (English) Zbl 1437.05125 J. Comb. Theory, Ser. B 143, 219-225 (2020). MSC: 05C45 05C38 05C30 PDF BibTeX XML Cite \textit{K. Cameron} and \textit{C. Thomassen}, J. Comb. Theory, Ser. B 143, 219--225 (2020; Zbl 1437.05125) Full Text: DOI
Li, Binlong; Ozeki, Kenta; Ryjáček, Zdeněk; Vrána, Petr Thomassen’s conjecture for line graphs of 3-hypergraphs. (English) Zbl 1437.05127 Discrete Math. 343, No. 6, Article ID 111838, 18 p. (2020). MSC: 05C45 05C76 05C65 05C38 PDF BibTeX XML Cite \textit{B. Li} et al., Discrete Math. 343, No. 6, Article ID 111838, 18 p. (2020; Zbl 1437.05127) Full Text: DOI
Jaffke, Lars; Kwon, O-joung; Telle, Jan Arne Mim-width. I. Induced path problems. (English) Zbl 1437.05223 Discrete Appl. Math. 278, 153-168 (2020). MSC: 05C85 05C75 05C38 05C45 PDF BibTeX XML Cite \textit{L. Jaffke} et al., Discrete Appl. Math. 278, 153--168 (2020; Zbl 1437.05223) Full Text: DOI
Bergougnoux, Benjamin; Kanté, Mamadou Moustapha; Kwon, O-joung An optimal XP algorithm for Hamiltonian cycle on graphs of bounded clique-width. (English) Zbl 1433.68279 Algorithmica 82, No. 6, 1654-1674 (2020). MSC: 68R10 05C38 05C45 05C85 68W40 PDF BibTeX XML Cite \textit{B. Bergougnoux} et al., Algorithmica 82, No. 6, 1654--1674 (2020; Zbl 1433.68279) Full Text: DOI
Mans, Bernard; Sha, Min; Smith, Jeffrey; Sutantyo, Daniel On the equational graphs over finite fields. (English) Zbl 1437.05088 Finite Fields Appl. 64, Article ID 101667, 31 p. (2020). MSC: 05C20 05C45 05C38 05C40 11T06 PDF BibTeX XML Cite \textit{B. Mans} et al., Finite Fields Appl. 64, Article ID 101667, 31 p. (2020; Zbl 1437.05088) Full Text: DOI
Altman, Daniel; Greenhill, Catherine; Isaev, Mikhail; Ramadurai, Reshma A threshold result for loose Hamiltonicity in random regular uniform hypergraphs. (English) Zbl 1437.05124 J. Comb. Theory, Ser. B 142, 307-373 (2020). MSC: 05C45 05C65 05C80 PDF BibTeX XML Cite \textit{D. Altman} et al., J. Comb. Theory, Ser. B 142, 307--373 (2020; Zbl 1437.05124) Full Text: DOI
Gill, Michael J.; Wanless, Ian M. Perfect 1-factorisations of \(K_{16}\). (English) Zbl 1436.05085 Bull. Aust. Math. Soc. 101, No. 2, 177-185 (2020). MSC: 05C70 05B15 05C45 PDF BibTeX XML Cite \textit{M. J. Gill} and \textit{I. M. Wanless}, Bull. Aust. Math. Soc. 101, No. 2, 177--185 (2020; Zbl 1436.05085) Full Text: DOI
Hoffmann-Ostenhof, Arthur The Nash-Williams conjecture and the dominating cycle conjecture. (English) Zbl 1435.05123 Electron. J. Comb. 27, No. 1, Research Paper P1.46, 7 p. (2020). MSC: 05C45 PDF BibTeX XML Cite \textit{A. Hoffmann-Ostenhof}, Electron. J. Comb. 27, No. 1, Research Paper P1.46, 7 p. (2020; Zbl 1435.05123) Full Text: Link
Yang, Peixing; Françoise, Jean-Pierre; Yu, Jiang Second order Melnikov functions of piecewise Hamiltonian systems. (English) Zbl 1436.37071 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050016, 11 p. (2020). MSC: 37J46 37J40 34E10 34C23 34C05 PDF BibTeX XML Cite \textit{P. Yang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050016, 11 p. (2020; Zbl 1436.37071) Full Text: DOI
Wang, Ruixia; Chang, Jingfang; Wu, Linxin A dominated pair condition for a digraph to be Hamiltonian. (English) Zbl 1435.05126 Discrete Math. 343, No. 5, Article ID 111794, 4 p. (2020). MSC: 05C45 05C20 PDF BibTeX XML Cite \textit{R. Wang} et al., Discrete Math. 343, No. 5, Article ID 111794, 4 p. (2020; Zbl 1435.05126) Full Text: DOI
Bača, Martin; Salman, A. N. M.; Simanjuntak, Rinovia; Susanti, Bety Hayat Rainbow 2-connectivity of edge-comb product of a cycle and a Hamiltonian graph. (English) Zbl 1434.05048 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 9, 12 p. (2020). MSC: 05C15 05C40 05C76 05C45 PDF BibTeX XML Cite \textit{M. Bača} et al., Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 9, 12 p. (2020; Zbl 1434.05048) Full Text: DOI
Han, Maoan; Yang, Junmin The dynamics of a kind of Liénard system with sixth degree and its limit cycle bifurcations under perturbations. (English) Zbl 1447.34032 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 26, 20 p. (2020). Reviewer: Changjin Xu (Guiyang) MSC: 34C05 34C23 34E10 34A34 37J40 34C07 PDF BibTeX XML Cite \textit{M. Han} and \textit{J. Yang}, Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 26, 20 p. (2020; Zbl 1447.34032) Full Text: DOI
Florek, Jan Remarks on Barnette’s conjecture. (English) Zbl 1434.05085 J. Comb. Optim. 39, No. 1, 149-155 (2020). MSC: 05C45 05C10 05C15 05C35 PDF BibTeX XML Cite \textit{J. Florek}, J. Comb. Optim. 39, No. 1, 149--155 (2020; Zbl 1434.05085) Full Text: DOI
Alon, Yahav; Krivelevich, Michael Random graph’s Hamiltonicity is strongly tied to its minimum degree. (English) Zbl 1431.05136 Electron. J. Comb. 27, No. 1, Research Paper P1.30, 18 p. (2020). MSC: 05C80 05C45 05C70 PDF BibTeX XML Cite \textit{Y. Alon} and \textit{M. Krivelevich}, Electron. J. Comb. 27, No. 1, Research Paper P1.30, 18 p. (2020; Zbl 1431.05136) Full Text: Link arXiv
de Carvalho Braga, Denis; Fernandes da Fonseca, Alexander; Gonçalves, Luiz Fernando; Mello, Luis Fernando Lyapunov coefficients for an invisible fold-fold singularity in planar piecewise Hamiltonian systems. (English) Zbl 1430.37062 J. Math. Anal. Appl. 484, No. 1, Article ID 123692, 19 p. (2020). MSC: 37J25 37J20 PDF BibTeX XML Cite \textit{D. de Carvalho Braga} et al., J. Math. Anal. Appl. 484, No. 1, Article ID 123692, 19 p. (2020; Zbl 1430.37062) Full Text: DOI
Kardoš, František A computer-assisted proof of the Barnette-Goodey conjecture: not only fullerene graphs are Hamiltonian. (English) Zbl 1430.05022 SIAM J. Discrete Math. 34, No. 1, 62-100 (2020). MSC: 05C10 05C45 05C90 92E10 05-08 PDF BibTeX XML Cite \textit{F. Kardoš}, SIAM J. Discrete Math. 34, No. 1, 62--100 (2020; Zbl 1430.05022) Full Text: DOI
Lu, Weihua; Yang, Chao; Ren, Han Lower bound on the number of Hamiltonian cycles of generalized Petersen graphs. (English) Zbl 1430.05055 Discuss. Math., Graph Theory 40, No. 1, 297-305 (2020). MSC: 05C30 05C45 05C70 PDF BibTeX XML Cite \textit{W. Lu} et al., Discuss. Math., Graph Theory 40, No. 1, 297--305 (2020; Zbl 1430.05055) Full Text: DOI
Tian, Tao; Xiong, Liming 2-connected Hamiltonian claw-free graphs involving degree sum of adjacent vertices. (English) Zbl 1439.05131 Discuss. Math., Graph Theory 40, No. 1, 85-106 (2020). Reviewer: Demetres Christofides (Pyla) MSC: 05C45 05C07 PDF BibTeX XML Cite \textit{T. Tian} and \textit{L. Xiong}, Discuss. Math., Graph Theory 40, No. 1, 85--106 (2020; Zbl 1439.05131) Full Text: DOI
Tang, Long; Vumar, Elkin A note on cycles in locally Hamiltonian and locally Hamilton-connected graphs. (English) Zbl 1430.05063 Discuss. Math., Graph Theory 40, No. 1, 77-84 (2020). MSC: 05C38 05C45 PDF BibTeX XML Cite \textit{L. Tang} and \textit{E. Vumar}, Discuss. Math., Graph Theory 40, No. 1, 77--84 (2020; Zbl 1430.05063) Full Text: DOI
Goedgebeur, Jan; Meersman, Barbara; Zamfirescu, Carol T. Graphs with few Hamiltonian cycles. (English) Zbl 1429.05114 Math. Comput. 89, No. 322, 965-991 (2020). MSC: 05C45 05C10 05C85 05C38 PDF BibTeX XML Cite \textit{J. Goedgebeur} et al., Math. Comput. 89, No. 322, 965--991 (2020; Zbl 1429.05114) Full Text: DOI
Chen, Guantao; Chiba, Shuya; Gould, Ronald J.; Gu, Xiaofeng; Saito, Akira; Tsugaki, Masao; Yamashita, Tomoki Spanning bipartite graphs with high degree sum in graphs. (English) Zbl 1429.05112 Discrete Math. 343, No. 2, Article ID 111663, 8 p. (2020). MSC: 05C45 PDF BibTeX XML Cite \textit{G. Chen} et al., Discrete Math. 343, No. 2, Article ID 111663, 8 p. (2020; Zbl 1429.05112) Full Text: DOI
Sawada, Joe; Williams, Aaron Solving the sigma-tau problem. (English) Zbl 1458.05108 ACM Trans. Algorithms 16, No. 1, Article No. 11, 17 p. (2020). MSC: 05C25 05C45 05A05 PDF BibTeX XML Cite \textit{J. Sawada} and \textit{A. Williams}, ACM Trans. Algorithms 16, No. 1, Article No. 11, 17 p. (2020; Zbl 1458.05108) Full Text: DOI
Liu, Fenjin; Wang, Wei; Yu, Tao; Lai, Hong-Jian Generalized cospectral graphs with and without Hamiltonian cycles. (English) Zbl 1426.05104 Linear Algebra Appl. 585, 199-208 (2020). MSC: 05C50 05C45 15A18 PDF BibTeX XML Cite \textit{F. Liu} et al., Linear Algebra Appl. 585, 199--208 (2020; Zbl 1426.05104) Full Text: DOI
Stanić, Zoran Lower bounds for the least Laplacian eigenvalue of unbalanced blocks. (English) Zbl 1426.05058 Linear Algebra Appl. 584, 145-152 (2020). MSC: 05C22 05C50 05C45 PDF BibTeX XML Cite \textit{Z. Stanić}, Linear Algebra Appl. 584, 145--152 (2020; Zbl 1426.05058) Full Text: DOI
de Wet, Johan P.; Frick, Marietjie The Hamilton cycle problem for locally traceable and locally Hamiltonian graphs. (English) Zbl 07349668 Discrete Appl. Math. 266, 291-308 (2019). MSC: 05C45 05C38 PDF BibTeX XML Cite \textit{J. P. de Wet} and \textit{M. Frick}, Discrete Appl. Math. 266, 291--308 (2019; Zbl 07349668) Full Text: DOI
Ziobro, Michał; Pilipczuk, Marcin Finding Hamiltonian cycle in graphs of bounded treewidth. Experimental evaluation. (English) Zbl 07335956 ACM J. Exp. Algorithm. 24, No. 2, Article No. 2.7, 18 p. (2019). MSC: 68Wxx PDF BibTeX XML Cite \textit{M. Ziobro} and \textit{M. Pilipczuk}, ACM J. Exp. Algorithm. 24, No. 2, Article No. 2.7, 18 p. (2019; Zbl 07335956) Full Text: DOI
Yahiaoui, Mouna; Boukoucha, Rachid Polynomial differential systems with explicit expression for limit cycles. (English) Zbl 1457.34051 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2019, No. 3(91), 65-74 (2019). MSC: 34C05 34C07 37C27 37K10 PDF BibTeX XML Cite \textit{M. Yahiaoui} and \textit{R. Boukoucha}, Bul. Acad. Ştiinţe Repub. Mold., Mat. 2019, No. 3(91), 65--74 (2019; Zbl 1457.34051) Full Text: Link
Hudry, Olivier; Lobstein, Antoine On the complexity of determining whether there is a unique Hamiltonian cycle or path. (English) Zbl 1452.90063 J. Comb. Math. Comb. Comput. 111, 85-106 (2019). MSC: 90B06 90C59 05C45 PDF BibTeX XML Cite \textit{O. Hudry} and \textit{A. Lobstein}, J. Comb. Math. Comb. Comput. 111, 85--106 (2019; Zbl 1452.90063)
Huang, Xing An implicit degree condition for cyclability of 2-heavy graphs. (English) Zbl 07217241 Ars Comb. 146, 135-141 (2019). MSC: 05C07 05C45 PDF BibTeX XML Cite \textit{X. Huang}, Ars Comb. 146, 135--141 (2019; Zbl 07217241)
Kozlova, Anna; Nikolaev, Andrei Simulated annealing approach to verify vertex adjacencies in the traveling salesperson polytope. (English) Zbl 1444.90101 Khachay, Michael (ed.) et al., Mathematical optimization theory and operations research. 18th international conference, MOTOR 2019, Ekaterinburg, Russia, July 8–12, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11548, 374-389 (2019). MSC: 90C27 90C59 PDF BibTeX XML Cite \textit{A. Kozlova} and \textit{A. Nikolaev}, Lect. Notes Comput. Sci. 11548, 374--389 (2019; Zbl 1444.90101) Full Text: DOI
Chen, Xie-Bin Matchings extend to Hamiltonian cycles in hypercubes with faulty edges. (English) Zbl 1439.05118 Front. Math. China 14, No. 6, 1117-1132 (2019). MSC: 05C38 05C45 05C70 05C82 PDF BibTeX XML Cite \textit{X.-B. Chen}, Front. Math. China 14, No. 6, 1117--1132 (2019; Zbl 1439.05118) Full Text: DOI
Cary, Michael Vertices with the second neighborhood property in Eulerian digraphs. (English) Zbl 1437.05126 Opusc. Math. 39, No. 6, 765-772 (2019). MSC: 05C45 05C12 05C20 PDF BibTeX XML Cite \textit{M. Cary}, Opusc. Math. 39, No. 6, 765--772 (2019; Zbl 1437.05126) Full Text: DOI