Edit Profile Hilton, Anthony J. W. Compute Distance To: Compute Author ID: hilton.anthony-j-w Published as: Hilton, A. J.; Hilton, A. J. W.; Hilton, Anthony; Hilton, Anthony J. W. Homepage: http://www.personal.reading.ac.uk/~smshiltn/ External Links: MGP · Wikidata · dblp Documents Indexed: 216 Publications since 1967, including 2 Books all top 5 Co-Authors 61 single-authored 17 Chetwynd, Amanda G. 16 Johnson, Peter D. jun. 13 Andersen, Lars Døvling 11 Rodger, Christopher Andrew 10 Dugdale, J. Keith 8 Zhao, Cheng 7 Cropper, Mathew Maurice 7 Daykin, David E. 6 Hamilton, G. M. 6 Hind, H. R. F. 6 Wojciechowski, Jerzy 5 Ferencak, Michael N. 5 Goldwasser, John L. 5 Heath, Jo W. 5 Johnson, Matthew 3 Cheng, Zhao 3 Gauci, John Baptist 3 Hoffman, Dean G. 3 Jackson, Bill 3 Lehel, Jeno 3 Scott, Sidney H. 3 Spencer, C. L. 3 Stirling, David S. G. 3 Vaughan, Emil R. 2 Bobga, Benedict Benkam 2 Cariolaro, David 2 Crampin, D. J. 2 Eslahchi, Changiz 2 Fleischner, Herbert J. 2 Frankl, Péter 2 Godfrey, Jean 2 Holroyd, Fred C. 2 Johnstone, W. R. 2 Jones, Rhys Price 2 Leonard, Douglas A. 2 Liu, Jiping 2 Rado, Richard 2 Rajkumar, Anitha 2 Slivnik, Tomaž 2 Wantland, Evan B. 1 Allagan, Julian A. D. 1 Anderson, Ian 1 Berge, Claude Jacques Roger 1 Cameron, Peter Jephson 1 Chen, Chuan-Chong 1 Daneshgar, Amir 1 de Werra, Dominique 1 Dresel, L. A. G. 1 Edwards, Julie-Ann 1 Fiorini, Stanley 1 Geller, Dennis P. 1 Greene, Calvin D. 1 Greene, Clinton A. 1 Greenwell, Donald L. 1 Häggkvist, Roland 1 Heinrich, Katherine 1 Henderson, Matthew James 1 Jacobson, Michael Scott 1 Keedwell, Anthony Donald 1 Kostochka, Aleksandr Vasil’evich 1 Lindner, Charles Curtis 1 Mays, Michael E. 1 Mendelsohn, Eric 1 Miklós, Dezső 1 Milner, Eric Charles 1 Nash-Williams, Crispin St. John Alvah 1 Ozkan, Sibel 1 Patterson, Donald J. 1 Poucher, William B. 1 Stark, Dudley 1 Talbot, John 1 Teirlinck, Luc 1 Wang, Ping 1 Wilson, Robin James 1 Wu, Jian-Liang all top 5 Serials 31 Discrete Mathematics 19 Journal of Graph Theory 15 Congressus Numerantium 11 Journal of Combinatorial Theory. Series B 11 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 10 Journal of Combinatorial Theory. Series A 8 Journal of the London Mathematical Society. Second Series 6 Discrete Applied Mathematics 6 Ars Combinatoria 6 The Quarterly Journal of Mathematics. Oxford Second Series 5 The Fibonacci Quarterly 5 Proceedings of the London Mathematical Society. Third Series 4 Mathematika 4 The Australasian Journal of Combinatorics 3 Journal of Combinatorial Designs 3 AKCE International Journal of Graphs and Combinatorics 2 Cahiers du Centre d’Études de Recherche Opérationnelle 2 Nanta Mathematica 2 Sankhyā. Series B. Methodological 2 Combinatorics, Probability and Computing 2 Bulletin of the Institute of Combinatorics and its Applications 1 Houston Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Journal of Combinatorics, Information & System Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Statistical Planning and Inference 1 Kiberneticheskiĭ Sbornik. Novaya Seriya 1 Le Matematiche 1 Mathematical Programming Study 1 Mathematica Scandinavica 1 Networks 1 Studia Scientiarum Mathematicarum Hungarica 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Combinatorica 1 Graphs and Combinatorics 1 Journal of the Australian Mathematical Society. Series A 1 The Quarterly Journal of Mathematics 1 London Mathematical Society Lecture Note Series all top 5 Fields 208 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Group theory and generalizations (20-XX) 3 Mathematical logic and foundations (03-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Real functions (26-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 165 Publications have been cited 1,148 times in 656 Documents Cited by ▼ Year ▼ Some intersection theorems for systems of finite sets. Zbl 0168.26205Hilton, A. J. W.; Milner, E. C. 176 1967 Hamiltonian decompositions of complete graphs. Zbl 0542.05044Hilton, A. J. W. 35 1984 Embedding partial Steiner triple systems. Zbl 0461.05010Andersen, L. D.; Hilton, A. J. W.; Mendelsohn, E. 35 1980 Regular graphs of high degree are 1-factorizable. Zbl 0561.05027Chetwynd, A. G.; Hilton, A. J. W. 31 1985 Hamiltonian decompositions of complete regular s-partite graphs. Zbl 0593.05047Hilton, A. J. W.; Rodger, C. A. 29 1986 Thank Evans! Zbl 0557.05013Andersen, L. D.; Hilton, A. J. W. 27 1983 Existence theorems for Sperner families. Zbl 0287.05003Daykin, D. E.; Godfrey, Jean; Hilton, A. J. W. 25 1974 1-factorizing regular graphs of high degree - an improved bound. Zbl 0675.05030Chetwynd, A. G.; Hilton, A. J. W. 24 1989 Generalized latin rectangles. II: Embedding. Zbl 0476.05018Andersen, L. D.; Hilton, A. J. W. 20 1980 A sufficient condition for equitable edge-colourings of simple graphs. Zbl 0798.05022Hilton, A. J. W.; de Werra, Dominique 19 1994 A \((<5)\)-colour theorem for planar graphs. Zbl 0278.05103Hilton, A. J. W.; Rado, R.; Scott, S. H. 19 1973 Critical star multigraphs. Zbl 0619.05023Chetwynd, A. G.; Hilton, A. J. W. 18 1986 The total chromatic number of graphs having large maximum degree. Zbl 0785.05035Hilton, A. J. W.; Hind, H. R. 16 1993 An intersection theorem for a collection of families of subsets of a finite set. Zbl 0364.05002Hilton, A. J. W. 16 1977 Coloring the edges of a multigraph so that each vertex has at most j, or at least j, edges of each colour on it. Zbl 0334.05106Hilton, A. J. W. 16 1975 The chromatic index of graphs with large maximum degree, where the number of vertices of maximum degree is relatively small. Zbl 0716.05021Chetwynd, A. G.; Hilton, A. J. W. 15 1990 Generalized latin rectangles I: Construction and decomposition. Zbl 0443.05019Andersen, L. D.; Hilton, A. J. W. 15 1980 The chromatic index of graphs of even order with many edges. Zbl 0562.05024Chetwynd, A. G.; Hilton, A. J. W. 14 1984 The embedding of partial triple systems when 4 divides \(\lambda\). Zbl 0758.05022Hilton, A. J. W.; Rodger, C. A. 13 1991 The reconstruction of latin squares with applications to school timetabling and to experimental design. Zbl 0438.05016Hilton, A. J. W. 13 1980 On double diagonal and cross latin squares. Zbl 0277.05010Hilton, A. J. W. 13 1973 Some results on the Oberwolfach problem. Zbl 1012.05135Hilton, A. J. W.; Johnson, Matthew 12 2001 The chromatic index of a graph whose core has maximum degree two. Zbl 0772.05041Hilton, A. J. W.; Cheng, Zhao 12 1992 A total-chromatic number analogue of Plantholt’s theorem. Zbl 0714.05025Hilton, A. J. W. 12 1990 Some refinements of the total chromatic number conjecture. Zbl 0677.05026Chetwynd, A. G.; Hilton, A. J. W. 12 1988 Partial edge-colourings of complete graphs or of graphs which are nearly complete. Zbl 0549.05027Chetwynd, A. G.; Hilton, A. J. W. 11 1984 Canonical edge-colourings of locally finite graphs. Zbl 0494.05021Hilton, A. J. W. 11 1982 The total chromatic number of graphs of high minimum degree. Zbl 0753.05033Chetwynd, A. G.; Hilton, A. J. W.; Cheng, Zhao 10 1991 The edge-chromatic class of graphs with maximum degree at least \(| V| -3\). Zbl 0692.05032Chetwynd, A. G.; Hilton, A. J. W. 10 1989 Two conjectures on edge-colouring. Zbl 0677.05025Hilton, A. J. W. 10 1989 A solution to the embedding problem for partial idempotent Latin squares. Zbl 0509.05020Andersen, L. D.; Hilton, A. J. W.; Rodger, C. A. 10 1982 School timetables. Zbl 0493.90043Hilton, A. J. W. 10 1981 Embedding an incomplete diagonal latin square in a complete diagonal latin square. Zbl 0277.05009Hilton, A. J. W. 10 1973 Amalgamations of connected \(k\)-factorizations. Zbl 1033.05084Hilton, A. J. W.; Johnson, Matthew; Rodger, C. A.; Wantland, E. B. 9 2003 On the edge-colouring of graphs whose core has maximum degree two. Zbl 0865.05041Hilton, A. J. W.; Zhao, Cheng 9 1996 Outlines of Latin squares. Zbl 0631.05009Hilton, A. J. W. 9 1987 Some results on Sperner families. Zbl 0421.05001Greene, C.; Hilton, A. J. W. 9 1979 On Steiner and similar triple systems. Zbl 0188.04004Hilton, A. J. W. 9 1969 \((r,r+1)\)-factorizations of \((d,d+1)\)-graphs. Zbl 1136.05058Hilton, A. J. W. 8 2008 A graph-theoretical generalization of Berge’s analogue of the Erdős-Ko-Rado theorem. Zbl 1115.05091Hilton, A. J. W.; Spencer, C. L. 8 2007 Relations among the fractional chromatic, choice, Hall, and Hall-condition numbers of simple graphs. Zbl 0991.05047Daneshgar, A.; Hilton, A. J. W.; Johnson, P. D. jun. 8 2001 Graphs which are vertex-critical with respect to the edge-chromatic number. Zbl 0631.05024Hilton, A. J. W.; Johnson, P. D. 8 1987 Factorizations of regular graphs of high degree. Zbl 0624.05050Hilton, A. J. W. 8 1985 Generalized Latin rectangles. Zbl 0442.05010Andersen, L. D.; Hilton, A. J. W. 8 1979 A \(\Delta\)-subgraph condition for a graph to be class 1. Zbl 0611.05025Chetwynd, A. G.; Hilton, A. J. W. 7 1989 The chromatic index of graphs with at most four vertices of maximum degree. Zbl 0561.05023Chetwynd, A. G.; Hilton, A. J. W. 7 1984 Embedding incomplete Latin squares in Latin squares whose diagonal is almost completely prescribed. Zbl 0442.05009Andersen, L. D.; Häggkvist, R.; Hilton, A. J. W.; Poucher, W. B. 7 1980 On the spectra of certain types of latin square. Zbl 0325.05012Crampin, D. J.; Hilton, A. J. W. 7 1975 Hamiltonian double Latin squares. Zbl 1030.05020Hilton, A. J. W.; Mays, M.; Rodger, C. A.; Nash-Williams, C. St. J. A. 6 2003 The Hall number of a simple graph. Zbl 0897.05040Hilton, A. J. W.; Johnson, P. D. jun.; Wantland, E. B. 6 1996 Recent results on the total chromatic number. Zbl 0793.05059Hilton, A. J. W. 6 1993 On the maximum number of pairwise compatible Euler cycles. Zbl 0701.05033Fleischner, H.; Hilton, A. J. W.; Jackson, Bill 6 1990 On the \(\Delta\)-subgraph of graphs which are critical with respect to the chromatic index. Zbl 0626.05028Chetwynd, A. G.; Hilton, A. J. W.; Hoffman, D. G. 6 1989 The Erdős-Ko-Rado theorem with valency conditions. Zbl 0619.05037Anderson, I.; Hilton, A. J. W. 6 1986 Spanning trees and Fibonacci and Lucas numbers. Zbl 0311.10012Hilton, A. J. W. 6 1974 Outline and amalgamated triple systems of even index. Zbl 1023.05023Ferencak, Michael N.; Hilton, Anthony J. W. 5 2002 Hall’s condition for multicolorings. Zbl 0904.05032Hilton, A. J. W.; Johnson, P. D. jun.; Leonard, D. A. 5 1997 Exactly \(k\)-to-1 maps between graphs. Zbl 0790.54012Heath, Jo; Hilton, A. J. W. 5 1992 Prospects for good embeddings of pairs of partial orthogonal latin squares and of partial Kirkman triple systems. Zbl 0766.05013Hilton, A. J. W.; Rodger, C. A.; Wojciechowski, J. 5 1992 The total chromatic number of nearly complete bipartite graphs. Zbl 0743.05022Hilton, A. J. W. 5 1991 Extending Hall’s theorem. Zbl 0731.05017Hilton, A. J. W.; Johnson, P. D. jun. 5 1990 Edge-colouring graphs and embedding partial triple systems of even index. Zbl 0715.05021Hilton, A. J. W.; Rodger, C. A. 5 1990 Recent progress on edge-colouring graphs. Zbl 0622.05021Hilton, A. J. W. 5 1987 King Arthur and his knights with two round tables. Zbl 1277.05126Hilton, A. J. W.; Holroyd, F. C.; Spencer, C. L. 4 2011 Completing partial Latin squares: Cropper’s question. Zbl 1228.05083Bobga, B. B.; Goldwasser, J. L.; Hilton, A. J. W.; Johnson, P. D. jun. 4 2011 A generalization of Talbot’s theorem about King Arthur and his knights of the round table. Zbl 1211.05115Hilton, A. J. W.; Spencer, C. L. 4 2009 An algorithm for finding factorizations of complete graphs. Zbl 1015.05075Hilton, A. J. W.; Johnson, Matthew 4 2003 Extending the disjoint-representatives theorems of Hall, Halmos, and Vaughan to list-multicolorings of graphs. Zbl 0944.05040Cropper, M. M.; Goldwasser, J. L.; Hilton, A. J. W.; Hoffman, D. G.; Johnson, P. D. jun. 4 2000 The Hall number, the Hall index, and the total Hall number of a graph. Zbl 0934.05001Hilton, A. J. W.; Johnson, P. D. jun. 4 1999 The dual of an identity of Ahlswede and Zhang. Zbl 0952.05072Hilton, A. J. W.; Stirling, D. S. G. 4 1998 A sufficient condition for a regular graph to be Class 1. Zbl 0790.05066Hilton, A. J. W.; Zhao, Cheng 4 1993 The existence of \(k\)-to-1 continuous maps between graphs when \(k\) is sufficiently large. Zbl 0783.05042Hilton, A. J. W. 4 1993 The initial and the threshold values for exactly \(k\)-to-1 continuous maps between graphs. Zbl 0789.05033Hilton, A. J. W. 4 1992 Alternating Hamiltonian circuits in edge-coloured bipartite graphs. Zbl 0751.05066Hilton, A. J. W. 4 1992 A variation of Ryser’s theorem and a necessary condition for the list- colouring problem. Zbl 0693.05034Hilton, Anthony; Johnson, Peter 4 1990 Graphs which are vertex-critical with respect to the edge-chromatic class. Zbl 0725.05041Hilton, A. J.; Johnson, P. D. 4 1989 Edge-colorings of graphs: A progress report. Zbl 0792.05052Hilton, A. J. W.; Wilson, Robin J. 4 1989 The edge-chromatic class of regular graphs of degree 4 and their complements. Zbl 0612.05029Chetwynd, A. G.; Hilton, A. J. W. 4 1987 A generalization of Plantholt’s theorem. Zbl 0609.05037Hilton, A. J. W. 4 1986 A generalization of Sperner’s theorem. Zbl 0484.05011Daykin, D. E.; Frankl, P.; Greene, C.; Hilton, A. J. W. 4 1981 Definitions of criticality with respect to edge-coloring. Zbl 0373.05054Hilton, A. J. W. 4 1977 Multicolouring graphs and hypergraphs. Zbl 0395.05036Hilton, A. J. W.; Rado, R.; Scott, S. H. 4 1976 A theorem on finite sets. Zbl 0324.05004Hilton, A. J. W. 4 1976 An analogue of Ryser’s theorem for partial Sudoku squares. Zbl 1242.05041Cameron, P. J.; Hilton, A. J. W.; Vaughan, E. R. 3 2012 On the number of (\(r,r+1\))- factors in an (\(r,r+1\))-factorization of a simple graph. Zbl 1214.05123Hilton, A. J. W. 3 2009 List multicolorings of graphs with measurable sets. Zbl 1113.05033Hilton, A. J. W.; Johnson, P. D. 3 2007 Cycle decompositions of the complete graph. Zbl 1174.05412Hilton, A. J. W.; Johnson, Matthew 3 2006 Semiregular factorization of simple graphs. Zbl 1078.05070Hilton, A. J. W.; Wojciechowski, Jerzy 3 2005 A sufficient condition for a graph to be the core of a Class 2 graph. Zbl 0963.05053Dugdale, J. K.; Hilton, A. J. W. 3 2000 Triangulations of 3-way regular tripartite graphs of degree 4, with applications to orthogonal latin squares. Zbl 0876.05015Andersen, L. D.; Hilton, A. J. W. 3 1997 Alternating Hamiltonian cycles in two colored complete bipartite graphs. Zbl 0760.05036Chetwynd, A. G.; Hilton, A. J. W. 3 1992 Outline symmetric Latin squares. Zbl 0753.05012Chetwynd, A. G.; Hilton, A. J. W. 3 1991 On two conjectures about edge-colouring hypergraphs. Zbl 0734.05065Berge, C.; Hilton, A. J. W. 3 1990 At most k-to-1 continuous mappings between graphs. Zbl 0715.05050Heath, Jo; Hilton, Anthony J. W. 3 1990 Trees that admit 3-to-1 maps onto the circle. Zbl 0743.05017Heath, Jo; Hilton, A. J. W. 3 1990 Snarks and k-snarks. Zbl 0668.05054Chetwynd, A. G.; Hilton, A. J. W. 3 1988 Small embeddings of incomplete idempotent latin squares. Zbl 0522.05013Andersen, L. D.; Hilton, A. J. W.; Rodger, C. A. 3 1983 Embedding incomplete Latin rectangles. Zbl 0497.05017Hilton, A. J. W. 3 1982 A simple proof of the Kruskal-Katona theorem and of some associated binomial inequalities. Zbl 0339.05012Hilton, A. J. W. 3 1979 Remarks on Sade’s disproof of the Euler conjecture with an application to Latin squares orthogonal to their transpose. Zbl 0325.05011Crampin, D. J.; Hilton, A. J. W. 3 1975 Hall’s condition for partial Latin squares. Zbl 1346.05022Hilton, A. J. W.; Vaughan, E. R. 1 2015 Hall’s theorem and extending partial Latinized rectangles. Zbl 1303.05021Goldwasser, J. L.; Hilton, A. J. W.; Hoffman, D. G.; Özkan, Sibel 1 2015 Wiggles and finitely discontinuous \(k\)-to-1 functions between graphs. Zbl 1276.05032Gauci, John Baptist; Hilton, Anthony J. W.; Stark, Dudley 1 2013 An analogue of Ryser’s theorem for partial Sudoku squares. Zbl 1242.05041Cameron, P. J.; Hilton, A. J. W.; Vaughan, E. R. 3 2012 King Arthur and his knights with two round tables. Zbl 1277.05126Hilton, A. J. W.; Holroyd, F. C.; Spencer, C. L. 4 2011 Completing partial Latin squares: Cropper’s question. Zbl 1228.05083Bobga, B. B.; Goldwasser, J. L.; Hilton, A. J. W.; Johnson, P. D. jun. 4 2011 Regular multigraphs and their semiregular factorizations. Zbl 1247.05191Ferencak, Michael N.; Hilton, Anthony J. W. 1 2011 Cropper’s question and Cruse’s theorem about partial Latin squares. Zbl 1225.05049Goldwasser, J.; Hilton, A. J. W.; Patterson, D. 1 2011 Degree-bounded factorizations of bipartite multigraphs and of pseudographs. Zbl 1209.05182Hilton, A. J. W. 2 2010 The Hall strength and the conjugate Hall strength of a partial Latin square. Zbl 1236.05039Hilton, A. J. W.; Vaughan, E. R. 1 2010 Semiregular factorizations of regular multigraphs. Zbl 1207.05156Ferencak, Michael N.; Hilton, Anthony J. W. 1 2010 Continuous \(k\)-to-\(1\) functions between complete graphs of even order. Zbl 1188.05053Dugdale, J. Keith; Fiorini, Stanley; Hilton, Anthony J. W.; Gauci, John Baptist 1 2010 A generalization of Talbot’s theorem about King Arthur and his knights of the round table. Zbl 1211.05115Hilton, A. J. W.; Spencer, C. L. 4 2009 On the number of (\(r,r+1\))- factors in an (\(r,r+1\))-factorization of a simple graph. Zbl 1214.05123Hilton, A. J. W. 3 2009 Embedding partial 4-cycle systems. Zbl 1211.05056Hilton, A. J. W.; Lindner, C. C. 2 2009 \((r,r+1)\)-factorizations of \((d,d+1)\)-graphs. Zbl 1136.05058Hilton, A. J. W. 8 2008 The \(k\)-fold list coloring of cycles with Hall’s condition. Zbl 1187.05051Cropper, M. M.; Hilton, A. J. W.; Jacobson, M. S.; Johnson, P. D.; Lehel, J. 1 2008 A graph-theoretical generalization of Berge’s analogue of the Erdős-Ko-Rado theorem. Zbl 1115.05091Hilton, A. J. W.; Spencer, C. L. 8 2007 List multicolorings of graphs with measurable sets. Zbl 1113.05033Hilton, A. J. W.; Johnson, P. D. 3 2007 Cycle decompositions of the complete graph. Zbl 1174.05412Hilton, A. J. W.; Johnson, Matthew 3 2006 Semiregular factorization of simple graphs. Zbl 1078.05070Hilton, A. J. W.; Wojciechowski, Jerzy 3 2005 The domination number of cubic Hamiltonian graphs. Zbl 1101.05046Cropper, M.; Greenwell, D.; Hilton, A. J. W.; Kostochka, A. 2 2005 Amalgamating infinite Latin squares. Zbl 1059.05024Hilton, Anthony J. W.; Wojciechowski, Jerzy 1 2005 Completing an edge-colouring of \(K_{2m}\) with \(K_r\) and independent edges precoloured. Zbl 1061.05032Henderson, M. J.; Hilton, A. J. W. 1 2004 Amalgamations of connected \(k\)-factorizations. Zbl 1033.05084Hilton, A. J. W.; Johnson, Matthew; Rodger, C. A.; Wantland, E. B. 9 2003 Hamiltonian double Latin squares. Zbl 1030.05020Hilton, A. J. W.; Mays, M.; Rodger, C. A.; Nash-Williams, C. St. J. A. 6 2003 An algorithm for finding factorizations of complete graphs. Zbl 1015.05075Hilton, A. J. W.; Johnson, Matthew 4 2003 The total chromatic numbers of joins of sparse graphs. Zbl 1031.05049Hilton, A. J. W.; Liu, Jiping; Zhao, Cheng 2 2003 Outline and amalgamated triple systems of even index. Zbl 1023.05023Ferencak, Michael N.; Hilton, Anthony J. W. 5 2002 Class 1 graphs associated with regular graphs of high degree. Zbl 1024.05025Cariolaro, David; Hilton, Anthony J. W. 2 2002 Hall parameters of complete and complete bipartite graphs. Zbl 1013.05031Cropper, M. M.; Hilton, A. J. W. 2 2002 Non-conformable subgraphs of non-conformable graphs. Zbl 1009.05057Hilton, A. J. W.; Hind, H. R. 1 2002 Some results on the Oberwolfach problem. Zbl 1012.05135Hilton, A. J. W.; Johnson, Matthew 12 2001 Relations among the fractional chromatic, choice, Hall, and Hall-condition numbers of simple graphs. Zbl 0991.05047Daneshgar, A.; Hilton, A. J. W.; Johnson, P. D. jun. 8 2001 The overfull conjecture and the conformability conjecture. Zbl 0992.05037Hilton, A. J. W.; Holroyd, F. C.; Zhao, Cheng 1 2001 Aspects of edge list-colourings. Zbl 0973.05031Hilton, A. J. W.; Slivnik, T.; Stirling, D. S. G. 1 2001 Extending the disjoint-representatives theorems of Hall, Halmos, and Vaughan to list-multicolorings of graphs. Zbl 0944.05040Cropper, M. M.; Goldwasser, J. L.; Hilton, A. J. W.; Hoffman, D. G.; Johnson, P. D. jun. 4 2000 A sufficient condition for a graph to be the core of a Class 2 graph. Zbl 0963.05053Dugdale, J. K.; Hilton, A. J. W. 3 2000 Fractional latin squares, simplex algebras, and generalized quotients. Zbl 0955.05018Dugdale, J. K.; Hilton, A. J. W.; Wojciechowski, J. 2 2000 Progress on the Hall-number-two problem. Zbl 0961.05024Eslahchi, Ch.; Hilton, A. J. W.; Johnson, P. D. jun. 2 2000 The Hall-condition index of a graph and the overfull conjecture. Zbl 0971.05049Dugdale, J. K.; Eslahchi, Ch.; Hilton, A. J. W. 1 2000 Some problems about \(r\)-factorizations of complete graphs. Zbl 0967.05048Hilton, A. J. W.; Johnstone, W. R. 1 2000 The scope of three colouring conjectures. Zbl 0944.05036Cropper, M. M.; Goldwasser, J. L.; Hilton, A. J. W. 1 2000 The Hall number, the Hall index, and the total Hall number of a graph. Zbl 0934.05001Hilton, A. J. W.; Johnson, P. D. jun. 4 1999 Totally critical graphs and the conformability conjecture. Zbl 0943.05034Hamilton, G. M.; Hilton, A. J. W.; Hind, H. R. F. 2 1999 Totally critical even order graphs. Zbl 0935.05043Hamilton, G. M.; Hilton, A. J. W.; Hind, H. R. F. 1 1999 The dual of an identity of Ahlswede and Zhang. Zbl 0952.05072Hilton, A. J. W.; Stirling, D. S. G. 4 1998 Hall’s condition for multicolorings. Zbl 0904.05032Hilton, A. J. W.; Johnson, P. D. jun.; Leonard, D. A. 5 1997 Triangulations of 3-way regular tripartite graphs of degree 4, with applications to orthogonal latin squares. Zbl 0876.05015Andersen, L. D.; Hilton, A. J. W. 3 1997 Graphs of order at most 10 which are critical with respect to the total chromatic number. Zbl 0879.05026Hamilton, G. M.; Hilton, A. J. W.; Hind, H. R. F. 1 1997 On the edge-colouring of graphs whose core has maximum degree two. Zbl 0865.05041Hilton, A. J. W.; Zhao, Cheng 9 1996 The Hall number of a simple graph. Zbl 0897.05040Hilton, A. J. W.; Johnson, P. D. jun.; Wantland, E. B. 6 1996 At most \(k\)-to-1 mappings between graphs. II. Zbl 0851.05077Heath, Jo; Hilton, A. J. W. 2 1996 Some improper list colouring theorems. Zbl 0974.05032Hilton, A. J. W. 1 1996 Updating the conformability conjecture. Zbl 0974.05031Hamilton, G. M.; Hilton, A. J. W.; Hind, H. R. F. 1 1996 Graphs that admit 3-to-1 or 2-to-1 maps onto the circle. Zbl 0851.05086Hilton, A. J. W.; Liu, J. P.; Zhao, C. 1 1996 A sufficient condition for equitable edge-colourings of simple graphs. Zbl 0798.05022Hilton, A. J. W.; de Werra, Dominique 19 1994 Amalgamated factorizations of complete graphs. Zbl 0812.05047Dugdale, J. K.; Hilton, A. J. W. 2 1994 Extensions of \(k\)-to-1 maps between graphs. Zbl 0804.05027Heath, Jo; Hilton, A. J. W. 2 1994 The total chromatic number of regular graphs whose complement is bipartite. Zbl 0794.05028Dugdale, J. K.; Hilton, A. J. W. 2 1994 Symmetric latin square and complete graph analogues of the Evans conjecture. Zbl 0821.05005Andersen, Lars Døvling; Hilton, A. J. W. 1 1994 The total chromatic number of graphs having large maximum degree. Zbl 0785.05035Hilton, A. J. W.; Hind, H. R. 16 1993 Recent results on the total chromatic number. Zbl 0793.05059Hilton, A. J. W. 6 1993 A sufficient condition for a regular graph to be Class 1. Zbl 0790.05066Hilton, A. J. W.; Zhao, Cheng 4 1993 The existence of \(k\)-to-1 continuous maps between graphs when \(k\) is sufficiently large. Zbl 0783.05042Hilton, A. J. W. 4 1993 Weighted quasigroups. Zbl 0788.05008Hilton, Anthony J. W.; Wojciechowski, Jerzy 2 1993 The chromatic index of a graph whose core has maximum degree two. Zbl 0772.05041Hilton, A. J. W.; Cheng, Zhao 12 1992 Exactly \(k\)-to-1 maps between graphs. Zbl 0790.54012Heath, Jo; Hilton, A. J. W. 5 1992 Prospects for good embeddings of pairs of partial orthogonal latin squares and of partial Kirkman triple systems. Zbl 0766.05013Hilton, A. J. W.; Rodger, C. A.; Wojciechowski, J. 5 1992 The initial and the threshold values for exactly \(k\)-to-1 continuous maps between graphs. Zbl 0789.05033Hilton, A. J. W. 4 1992 Alternating Hamiltonian circuits in edge-coloured bipartite graphs. Zbl 0751.05066Hilton, A. J. W. 4 1992 Alternating Hamiltonian cycles in two colored complete bipartite graphs. Zbl 0760.05036Chetwynd, A. G.; Hilton, A. J. W. 3 1992 The embedding of partial triple systems when 4 divides \(\lambda\). Zbl 0758.05022Hilton, A. J. W.; Rodger, C. A. 13 1991 The total chromatic number of graphs of high minimum degree. Zbl 0753.05033Chetwynd, A. G.; Hilton, A. J. W.; Cheng, Zhao 10 1991 The total chromatic number of nearly complete bipartite graphs. Zbl 0743.05022Hilton, A. J. W. 5 1991 Outline symmetric Latin squares. Zbl 0753.05012Chetwynd, A. G.; Hilton, A. J. W. 3 1991 Graphs of maximum degree 3 and order at most 16 which are critical with respect to the total chromatic number. Zbl 0741.05029Hamilton, G. M.; Hilton, A. J. W. 2 1991 The relationship between an edge colouring conjecture and a total colouring conjecture. Zbl 0741.05030Hilton, A. J. W.; Cheng, Zhao 2 1991 The chromatic index of graphs with large maximum degree, where the number of vertices of maximum degree is relatively small. Zbl 0716.05021Chetwynd, A. G.; Hilton, A. J. W. 15 1990 A total-chromatic number analogue of Plantholt’s theorem. Zbl 0714.05025Hilton, A. J. W. 12 1990 On the maximum number of pairwise compatible Euler cycles. Zbl 0701.05033Fleischner, H.; Hilton, A. J. W.; Jackson, Bill 6 1990 Extending Hall’s theorem. Zbl 0731.05017Hilton, A. J. W.; Johnson, P. D. jun. 5 1990 Edge-colouring graphs and embedding partial triple systems of even index. Zbl 0715.05021Hilton, A. J. W.; Rodger, C. A. 5 1990 A variation of Ryser’s theorem and a necessary condition for the list- colouring problem. Zbl 0693.05034Hilton, Anthony; Johnson, Peter 4 1990 On two conjectures about edge-colouring hypergraphs. Zbl 0734.05065Berge, C.; Hilton, A. J. W. 3 1990 At most k-to-1 continuous mappings between graphs. Zbl 0715.05050Heath, Jo; Hilton, Anthony J. W. 3 1990 Trees that admit 3-to-1 maps onto the circle. Zbl 0743.05017Heath, Jo; Hilton, A. J. W. 3 1990 The total chromatic number of regular graphs of order \(2n\) and degree \(2n-3\). Zbl 0742.05040Dugdale, J. K.; Hilton, A. J. W. 1 1990 1-factorizing regular graphs of high degree - an improved bound. Zbl 0675.05030Chetwynd, A. G.; Hilton, A. J. W. 24 1989 The edge-chromatic class of graphs with maximum degree at least \(| V| -3\). Zbl 0692.05032Chetwynd, A. G.; Hilton, A. J. W. 10 1989 Two conjectures on edge-colouring. Zbl 0677.05025Hilton, A. J. W. 10 1989 A \(\Delta\)-subgraph condition for a graph to be class 1. Zbl 0611.05025Chetwynd, A. G.; Hilton, A. J. W. 7 1989 On the \(\Delta\)-subgraph of graphs which are critical with respect to the chromatic index. Zbl 0626.05028Chetwynd, A. G.; Hilton, A. J. W.; Hoffman, D. G. 6 1989 Graphs which are vertex-critical with respect to the edge-chromatic class. Zbl 0725.05041Hilton, A. J.; Johnson, P. D. 4 1989 Edge-colorings of graphs: A progress report. Zbl 0792.05052Hilton, A. J. W.; Wilson, Robin J. 4 1989 Some refinements of the total chromatic number conjecture. Zbl 0677.05026Chetwynd, A. G.; Hilton, A. J. W. 12 1988 Snarks and k-snarks. Zbl 0668.05054Chetwynd, A. G.; Hilton, A. J. W. 3 1988 Recent results on edge-colouring graphs, with applications to the total- chromatic number. Zbl 0661.05025Hilton, A. J. W. 1 1988 Reverse class critical multigraphs. Zbl 0643.05031Hilton, A. J. W.; Johnson, P. D. 1 1988 Outlines of Latin squares. Zbl 0631.05009Hilton, A. J. W. 9 1987 ...and 65 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 714 Authors 65 Hilton, Anthony J. W. 36 Frankl, Péter 35 Rodger, Christopher Andrew 21 Borg, Peter 19 Bryant, Darryn E. 12 Kupavskii, Andrey 12 Liu, Guizhen 11 Furedi, Zoltan 10 de Figueiredo, Celina M. Herrera 10 Johnson, Peter D. jun. 10 Lindner, Charles Curtis 9 Colbourn, Charles J. 8 Bahmanian, M. Amin 8 Chetwynd, Amanda G. 8 de Werra, Dominique 7 Katona, Gyula O. H. 7 Tokushige, Norihide 6 Erdős, Péter L. 6 Fu, Hunglin 6 Gronau, Hans-Dietrich O. F. 6 Hoffman, Dean G. 6 Horsley, Daniel 6 Hwang, Frank Kwangming 6 Mubayi, Dhruv 6 Rodger, Chris A. 5 Bollobás, Béla 5 Clements, G. F. 5 Das, Shagnik 5 Dugdale, J. Keith 5 Erzurumluoğlu, Aras 5 Johnson, Matthew 5 Lehel, Jeno 5 Maenhaut, Barbara M. 5 Ozkan, Sibel 5 Rosa, Alexander 5 Tuza, Zsolt 5 Zhang, Xia 4 Akbari, Saieed 4 Alishahi, Meysam 4 Andersen, Lars Døvling 4 Balogh, József 4 Cropper, Mathew Maurice 4 Danziger, Peter 4 Daykin, David E. 4 Picinin de Mello, Célia 4 De Simone, Caterina 4 Ellis, David Christopher 4 Feghali, Carl 4 Häggkvist, Roland 4 Hajiabolhassan, Hossein 4 Huang, Hao 4 Jackson, Bill 4 Keevash, Peter 4 Kleitman, Daniel J. 4 Kuhl, Jaromy Scott 4 Kühn, Daniela 4 Mendelsohn, Eric 4 Osthus, Deryk 4 Stiebitz, Michael 4 Sudakov, Benny 4 Thu, Tran Dan 4 Tran, Tuan Anh 4 Xu, Changqing 4 Zhao, Yue 4 Zhu, Xuding 3 Ahlswede, Rudolf 3 Anderson, Ian 3 Berge, Claude Jacques Roger 3 Bonomo, Flavia 3 Cariolaro, David 3 Casselgren, Carl Johan 3 Chen, Borliang 3 Chew, Kim Ho 3 Dantas, Simone 3 Denley, Tristan M. J. 3 Donovan, Diane M. 3 Erdős, Pál 3 Euler, Reinhardt 3 Friedgut, Ehud 3 Galluccio, Anna 3 Gauci, John Baptist 3 Ghanbari, Maryam 3 Goldwasser, John L. 3 Heinrich, Katherine 3 Ihringer, Ferdinand 3 Kalai, Gil 3 Kang, Liying 3 Khachatrian, Levon H. 3 Kostochka, Aleksandr Vasil’evich 3 Ling, Alan Chi Hung 3 Machado, Raphael Carlos Santos 3 Mazzuoccolo, Giuseppe 3 Narayanan, Bhargav P. 3 Plantholt, Michael J. 3 Polcyn, Joanna 3 Preissmann, Myriam 3 Quattrocchi, Gaetano 3 Reed, Bruce Alan 3 Sasaki, Diana 3 Shan, Erfang ...and 614 more Authors all top 5 Cited in 90 Serials 191 Discrete Mathematics 82 Journal of Combinatorial Theory. Series A 42 Discrete Applied Mathematics 40 Journal of Combinatorial Theory. Series B 33 Graphs and Combinatorics 30 European Journal of Combinatorics 28 Journal of Graph Theory 17 Journal of Combinatorial Designs 13 Combinatorics, Probability and Computing 11 Combinatorica 10 The Electronic Journal of Combinatorics 7 The Australasian Journal of Combinatorics 6 Theoretical Computer Science 5 Periodica Mathematica Hungarica 4 Mathematika 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Discrete Mathematics 4 European Journal of Operational Research 4 Journal of Combinatorial Optimization 3 Information Processing Letters 3 Advances in Mathematics 3 Archiv der Mathematik 3 Journal of Statistical Planning and Inference 3 Designs, Codes and Cryptography 3 Linear Algebra and its Applications 3 Ars Mathematica Contemporanea 3 Discrete Mathematics, Algorithms and Applications 2 Bulletin of the Australian Mathematical Society 2 Glasgow Mathematical Journal 2 Journal of the London Mathematical Society. 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Second Series 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 SIAM Journal on Algebraic and Discrete Methods 1 Operations Research Letters 1 Acta Mathematica Hungarica 1 Order 1 Information and Computation 1 Computers & Operations Research 1 Journal of the American Mathematical Society 1 Applied Mathematics. Series B (English Edition) 1 Statistical Papers 1 Finite Fields and their Applications 1 Discussiones Mathematicae. Graph Theory 1 Electronic Research Announcements of the American Mathematical Society 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of Mathematical Logic 1 RAIRO. Operations Research 1 Journal of Systems Science and Complexity 1 Discrete Optimization 1 International Journal of Number Theory 1 Bulletin of the American Mathematical Society 1 International Journal of Combinatorics 1 Science China. Mathematics 1 Moscow Journal of Combinatorics and Number Theory 1 Special Matrices 1 Open Mathematics 1 Prikladnaya Diskretnaya Matematika all top 5 Cited in 30 Fields 629 Combinatorics (05-XX) 27 Computer science (68-XX) 19 Group theory and generalizations (20-XX) 14 Operations research, mathematical programming (90-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 11 Mathematical logic and foundations (03-XX) 10 Convex and discrete geometry (52-XX) 8 Number theory (11-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Geometry (51-XX) 5 Statistics (62-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Manifolds and cell complexes (57-XX) 4 Probability theory and stochastic processes (60-XX) 4 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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