Edit Profile (opens in new tab) Hobbs, Arthur M. Compute Distance To: Compute Author ID: hobbs.arthur-m Published as: Hobbs, Arthur M.; Hobbs, Arthur; Hobbs, A. M.; Hobbs, A. more...less External Links: MGP · Wikidata Documents Indexed: 45 Publications since 1968 1 Contribution as Editor Co-Authors: 32 Co-Authors with 33 Joint Publications 1,222 Co-Co-Authors all top 5 Co-Authors 13 single-authored 7 Lai, Hong-Jian 4 Erdős, Pál 4 Fleischner, Herbert J. 4 Grossman, Jerrold Wayne 3 Catlin, Paul A. 3 Lai, Hongyuan 2 Kannan, Lavanya 2 Kotzig, Anton 2 Weng, Guoqing 1 Akkari, Safwan 1 Bollobás, Béla 1 Borosh, Itshak 1 Bourgeois, Brian A. 1 Chartrand, Gary Theodore 1 Collins, Amy 1 Debose, Yolanda 1 Hensley, Douglas 1 Jung, Heinz Adolf 1 Kapoor, S. F. 1 Kasiraj, Jothi 1 Marr, Alison M. 1 Miller, Zevi 1 Mitchem, John 1 Muzheve, Michael Tapfuma 1 Nash-Williams, Crispin St. John Alvah 1 Ordower, Marc S. 1 Oxley, James G. 1 Petingi, Louis 1 Robertson, Neil 1 Schmeichel, Edward F. 1 Vince, Andrew 1 Zaks, Joseph all top 5 Serials 8 Discrete Mathematics 6 Journal of Combinatorial Theory. Series B 6 Congressus Numerantium 4 Journal of Research of the National Bureau of Standards 3 Discrete Applied Mathematics 1 Canadian Mathematical Bulletin 1 Journal of Combinatorial Theory. Series A 1 Journal of Graph Theory 1 Mathematische Nachrichten 1 Notices of the American Mathematical Society Fields 43 Combinatorics (05-XX) 2 History and biography (01-XX) 1 General and overarching topics; collections (00-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 188 times in 152 Documents Cited by ▼ Year ▼ Fractional arboricity, strength, and principal partitions in graphs and matroids. Zbl 0773.05033Catlin, Paul A.; Grossman, Jerrold W.; Hobbs, Arthur M.; Lai, Hong-Jian 33 1992 The square of a block is Hamiltonian connected. Zbl 0277.05129Chartrand, G.; Hobbs, Arthur M.; Jung, H. A.; Kapoor, S. F.; Nash-Williams, C. St. J. A. 23 1974 The square of a block is vertex pancyclic. Zbl 0321.05135Hobbs, Arthur M. 22 1976 Packing trees in complete graphs. Zbl 0642.05043Hobbs, Arthur M.; Bourgeois, Brian A.; Kasiraj, Jothi 17 1987 Some hamiltonian results in powers of graphs. Zbl 0262.05124Hobbs, Arthur M. 10 1973 Hamiltonian total graphs. Zbl 0313.05118Fleischner, Herbert; Hobbs, Arthur M. 9 1975 Graph family operations. Zbl 0969.05060Catlin, Paul A.; Hobbs, Arthur M.; Lai, Hong-Jian 9 2001 A class of thickness-minimal graphs. Zbl 0162.27702Hobbs, A. M.; Grossman, J. W. 7 1968 Hamiltonian cycles in regular graphs. Zbl 0376.05036Bollobas, Bela; Hobbs, Arthur 6 1978 A necessary condition for the square of a graph to be Hamiltonian. Zbl 0315.05120Fleischner, Herbert; Hobbs, Arthur M. 6 1975 Disjoint cliques and disjoint maximal independent sets of vertices in graphs. Zbl 0493.05049Erdős, Paul; Hobbs, Arthur M.; Payan, C. 6 1982 Computing edge-toughness and fractional arboricity. Zbl 0684.68086Hobbs, Arthur M. 5 1989 Hamiltonian cycles in squares of vertex-unicyclic graphs. Zbl 0344.05132Fleischner, Herbert; Hobbs, Arthur M. 3 1976 The entire graph of a bridgeless connected plane graph is Hamiltonian. Zbl 0344.05134Hobbs, Arthur M.; Mitchem, John 3 1976 Hamiltonian cycles in regular graphs of moderate degree. Zbl 0374.05037Erdős, Paul; Hobbs, Arthur M. 3 1977 A class of Hamiltonian regular graphs. Zbl 0416.05055Erdős, Paul; Hobbs, Arthur M. 3 1978 Uniformly dense generalized prisms over graphs. Zbl 0786.05090Hobbs, Arthur M.; Lai, Hong-Jian; Weng, Guoqing; Lai, Hongyuan 3 1992 On the maximum number of independent edges in cubic graphs. Zbl 0499.05047Hobbs, Arthur M.; Schmeichel, Edward 3 1982 A catalog of minimal blocks. Zbl 0262.05121Hobbs, Arthur M. 2 1973 Graphs having no short even cycles. Zbl 0896.05037Debose, Yolanda; Erdős, Paul; Hobbs, Arthur M. 2 1996 Vertex prime graphs and the Jacobsthal function. Zbl 0894.05049Borosh, Itshak; Hensley, Douglas; Hobbs, Arthur M. 2 1997 Thickness and connectivity in graphs. Zbl 0164.24701Hobbs, Arthur M.; Grossman, J. W. 2 1968 Packing trees. Zbl 0487.05056Hobbs, Arthur M. 2 1981 Powers of graphs, line graphs, and total graphs. Zbl 0379.05046Hobbs, Arthur M. 1 1978 Maximal Hamiltonian cycles in squares of graphs. Zbl 0402.05049Hobbs, Arthur M. 1 1979 Hamiltonian squares of cacti. Zbl 0403.05057Hobbs, Arthur M. 1 1979 William T. Tutte (1917–2002). Zbl 1168.01332Hobbs, Arthur M.; Oxley, James G. 1 2004 Transforming a graph into a 1-balanced graph. Zbl 1200.05228Kannan, Lavanya; Hobbs, Arthur; Lai, Hong-Jian; Lai, Hongyuan 1 2009 Packing sequences. Zbl 0531.05019Hobbs, Arthur M. 1 1984 Balanced and 1-balanced graph constructions. Zbl 1215.05144Hobbs, Arthur M.; Kannan, Lavanya; Lai, Hong-Jian; Lai, Hongyuan; Weng, Guoqing 1 2010 Balanced and 1-balanced graph constructions. Zbl 1215.05144Hobbs, Arthur M.; Kannan, Lavanya; Lai, Hong-Jian; Lai, Hongyuan; Weng, Guoqing 1 2010 Transforming a graph into a 1-balanced graph. Zbl 1200.05228Kannan, Lavanya; Hobbs, Arthur; Lai, Hong-Jian; Lai, Hongyuan 1 2009 William T. Tutte (1917–2002). Zbl 1168.01332Hobbs, Arthur M.; Oxley, James G. 1 2004 Graph family operations. Zbl 0969.05060Catlin, Paul A.; Hobbs, Arthur M.; Lai, Hong-Jian 9 2001 Vertex prime graphs and the Jacobsthal function. Zbl 0894.05049Borosh, Itshak; Hensley, Douglas; Hobbs, Arthur M. 2 1997 Graphs having no short even cycles. Zbl 0896.05037Debose, Yolanda; Erdős, Paul; Hobbs, Arthur M. 2 1996 Fractional arboricity, strength, and principal partitions in graphs and matroids. Zbl 0773.05033Catlin, Paul A.; Grossman, Jerrold W.; Hobbs, Arthur M.; Lai, Hong-Jian 33 1992 Uniformly dense generalized prisms over graphs. Zbl 0786.05090Hobbs, Arthur M.; Lai, Hong-Jian; Weng, Guoqing; Lai, Hongyuan 3 1992 Computing edge-toughness and fractional arboricity. Zbl 0684.68086Hobbs, Arthur M. 5 1989 Packing trees in complete graphs. Zbl 0642.05043Hobbs, Arthur M.; Bourgeois, Brian A.; Kasiraj, Jothi 17 1987 Packing sequences. Zbl 0531.05019Hobbs, Arthur M. 1 1984 Disjoint cliques and disjoint maximal independent sets of vertices in graphs. Zbl 0493.05049Erdős, Paul; Hobbs, Arthur M.; Payan, C. 6 1982 On the maximum number of independent edges in cubic graphs. Zbl 0499.05047Hobbs, Arthur M.; Schmeichel, Edward 3 1982 Packing trees. Zbl 0487.05056Hobbs, Arthur M. 2 1981 Maximal Hamiltonian cycles in squares of graphs. Zbl 0402.05049Hobbs, Arthur M. 1 1979 Hamiltonian squares of cacti. Zbl 0403.05057Hobbs, Arthur M. 1 1979 Hamiltonian cycles in regular graphs. Zbl 0376.05036Bollobas, Bela; Hobbs, Arthur 6 1978 A class of Hamiltonian regular graphs. Zbl 0416.05055Erdős, Paul; Hobbs, Arthur M. 3 1978 Powers of graphs, line graphs, and total graphs. Zbl 0379.05046Hobbs, Arthur M. 1 1978 Hamiltonian cycles in regular graphs of moderate degree. Zbl 0374.05037Erdős, Paul; Hobbs, Arthur M. 3 1977 The square of a block is vertex pancyclic. Zbl 0321.05135Hobbs, Arthur M. 22 1976 Hamiltonian cycles in squares of vertex-unicyclic graphs. Zbl 0344.05132Fleischner, Herbert; Hobbs, Arthur M. 3 1976 The entire graph of a bridgeless connected plane graph is Hamiltonian. Zbl 0344.05134Hobbs, Arthur M.; Mitchem, John 3 1976 Hamiltonian total graphs. Zbl 0313.05118Fleischner, Herbert; Hobbs, Arthur M. 9 1975 A necessary condition for the square of a graph to be Hamiltonian. Zbl 0315.05120Fleischner, Herbert; Hobbs, Arthur M. 6 1975 The square of a block is Hamiltonian connected. Zbl 0277.05129Chartrand, G.; Hobbs, Arthur M.; Jung, H. A.; Kapoor, S. F.; Nash-Williams, C. St. J. A. 23 1974 Some hamiltonian results in powers of graphs. Zbl 0262.05124Hobbs, Arthur M. 10 1973 A catalog of minimal blocks. Zbl 0262.05121Hobbs, Arthur M. 2 1973 A class of thickness-minimal graphs. Zbl 0162.27702Hobbs, A. M.; Grossman, J. W. 7 1968 Thickness and connectivity in graphs. Zbl 0164.24701Hobbs, Arthur M.; Grossman, J. W. 2 1968 all cited Publications top 5 cited Publications all top 5 Cited by 236 Authors 27 Lai, Hong-Jian 11 Hobbs, Arthur M. 6 Li, Ping 5 Fleischner, Herbert J. 5 Wu, Baoyindureng 5 Xu, Min 5 Yang, Daqing 5 Zhan, Mingquan 4 Gu, Xiaofeng 4 Han, Miaomiao 4 Lai, Hongyuan 4 Li, Jiaao 4 Liang, Yanting 4 Shao, Yehong 3 Chia, Gek-Ling 3 Fan, Genghua 3 Ihm, Insung 3 Jackson, Bill 3 Kühn, Daniela 3 Li, Hao 3 Osthus, Deryk 3 Park, Jung-Heum 3 Xu, Junming 2 Chartrand, Gary Theodore 2 Cheng, Eddie 2 Ekstein, Jan 2 Fang, Jywe-Fei 2 Gonçalves, Daniel 2 Hao, Rongxia 2 Hayat, Sakander 2 Hedetniemi, Stephen Travis 2 Hemakul, Wanida 2 Hsu, Lihhsing 2 Hu, Xiaodong 2 Jiang, Hongbi 2 Kannan, Lavanya 2 Khan, Asad ul Islam 2 Kim, Jaehoon 2 Lesniak, Linda M. 2 Li, Xiangwen 2 Lipman, Marc J. 2 Luo, Rong 2 Nebeský, Ladislav 2 Ochem, Pascal 2 Singhun, Sirirat 2 Tan, Jimmy J. M. 2 Wang, Hong 2 Weng, Guoqing 2 West, Douglas Brent 2 Woźniak, Mariusz 2 Yan, Jin 2 Yang, Yan 2 Żak, Andrzej 2 Zhang, Zhao 2 Zhu, Xuding 2 Zhu, Yongjin 1 Alavi, Yousef 1 Alikhani, Saeid 1 An, Xinhui 1 Ayello, Alejandro Angeli 1 Babikir, Ammar 1 Bakker, Erwin M. 1 Bani Mostafa A., M. H. 1 Benecke, Stephen 1 Bi, Zhenming 1 Böttcher, Julia 1 Broersma, Hajo J. 1 Bu, Changjiang 1 Burman, R. R. 1 Butzer, Paul Leo 1 Cao, Jinde 1 Cao, Weiting 1 Caro, Yair 1 Catlin, Paul A. 1 Chein, Michel 1 Chen, Zhihong 1 Cheng, Dongqin 1 Couch, PJ 1 Daniel, B. D. 1 Dey, Dipak Kumar 1 Dodson, Michael Maurice 1 Du, Zhengzhong 1 Engbers, Erik A. 1 Erdős, Pál 1 Faudree, Ralph Jasper jun. 1 Ferber, Asaf 1 Ferreira, Paulo Jorge S. G. 1 Fishburn, Peter Clingerman 1 Fouquet, Jean-Luc 1 Fourtounelli, Olga 1 Gao, Hui 1 Gao, Xiaoli 1 Gao, Yunshu 1 Ghorbani, Ebrahim 1 Görlich, Agnieszka 1 Guo, Xia 1 Heidari, Akram 1 Hendry, George R. T. 1 Henning, Michael Anthony 1 Hevia, Héctor ...and 136 more Authors all top 5 Cited in 47 Serials 38 Discrete Mathematics 15 Discrete Applied Mathematics 15 Journal of Combinatorial Theory. Series B 9 Graphs and Combinatorics 5 European Journal of Combinatorics 4 Information Processing Letters 4 SIAM Journal on Discrete Mathematics 3 Applied Mathematics and Computation 3 Czechoslovak Mathematical Journal 3 Journal of Graph Theory 3 Theoretical Computer Science 3 Acta Mathematica Sinica. English Series 2 Israel Journal of Mathematics 2 Information Sciences 2 Journal of Combinatorial Theory. Series A 2 Networks 2 The Electronic Journal of Combinatorics 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Discrete Mathematics, Algorithms and Applications 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Combinatorica 1 Acta Mathematica Hungarica 1 Journal of Computer Science and Technology 1 Discrete & Computational Geometry 1 Signal Processing 1 European Journal of Operational Research 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 The Australasian Journal of Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Discussiones Mathematicae. Graph Theory 1 Journal of Combinatorial Optimization 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Probability in the Engineering and Informational Sciences 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Applied Mathematics and Computing 1 Frontiers of Mathematics in China 1 Ars Mathematica Contemporanea 1 AIMS Mathematics all top 5 Cited in 13 Fields 139 Combinatorics (05-XX) 14 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 2 Convex and discrete geometry (52-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.