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Hilton, Anthony J. W.

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Author ID: hilton.anthony-j-w Recent zbMATH articles by "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

Publications by Year

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 0168.26205
Hilton, A. J. W.; Milner, E. C.
176
1967
Hamiltonian decompositions of complete graphs. Zbl 0542.05044
Hilton, A. J. W.
35
1984
Embedding partial Steiner triple systems. Zbl 0461.05010
Andersen, L. D.; Hilton, A. J. W.; Mendelsohn, E.
35
1980
Regular graphs of high degree are 1-factorizable. Zbl 0561.05027
Chetwynd, A. G.; Hilton, A. J. W.
31
1985
Hamiltonian decompositions of complete regular s-partite graphs. Zbl 0593.05047
Hilton, A. J. W.; Rodger, C. A.
29
1986
Thank Evans! Zbl 0557.05013
Andersen, L. D.; Hilton, A. J. W.
27
1983
Existence theorems for Sperner families. Zbl 0287.05003
Daykin, D. E.; Godfrey, Jean; Hilton, A. J. W.
25
1974
1-factorizing regular graphs of high degree - an improved bound. Zbl 0675.05030
Chetwynd, A. G.; Hilton, A. J. W.
24
1989
Generalized latin rectangles. II: Embedding. Zbl 0476.05018
Andersen, L. D.; Hilton, A. J. W.
20
1980
A sufficient condition for equitable edge-colourings of simple graphs. Zbl 0798.05022
Hilton, A. J. W.; de Werra, Dominique
19
1994
A \((<5)\)-colour theorem for planar graphs. Zbl 0278.05103
Hilton, A. J. W.; Rado, R.; Scott, S. H.
19
1973
Critical star multigraphs. Zbl 0619.05023
Chetwynd, A. G.; Hilton, A. J. W.
18
1986
The total chromatic number of graphs having large maximum degree. Zbl 0785.05035
Hilton, A. J. W.; Hind, H. R.
16
1993
An intersection theorem for a collection of families of subsets of a finite set. Zbl 0364.05002
Hilton, 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 0334.05106
Hilton, 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 0716.05021
Chetwynd, A. G.; Hilton, A. J. W.
15
1990
Generalized latin rectangles I: Construction and decomposition. Zbl 0443.05019
Andersen, L. D.; Hilton, A. J. W.
15
1980
The chromatic index of graphs of even order with many edges. Zbl 0562.05024
Chetwynd, A. G.; Hilton, A. J. W.
14
1984
The embedding of partial triple systems when 4 divides \(\lambda\). Zbl 0758.05022
Hilton, A. J. W.; Rodger, C. A.
13
1991
The reconstruction of latin squares with applications to school timetabling and to experimental design. Zbl 0438.05016
Hilton, A. J. W.
13
1980
On double diagonal and cross latin squares. Zbl 0277.05010
Hilton, A. J. W.
13
1973
Some results on the Oberwolfach problem. Zbl 1012.05135
Hilton, A. J. W.; Johnson, Matthew
12
2001
The chromatic index of a graph whose core has maximum degree two. Zbl 0772.05041
Hilton, A. J. W.; Cheng, Zhao
12
1992
A total-chromatic number analogue of Plantholt’s theorem. Zbl 0714.05025
Hilton, A. J. W.
12
1990
Some refinements of the total chromatic number conjecture. Zbl 0677.05026
Chetwynd, A. G.; Hilton, A. J. W.
12
1988
Partial edge-colourings of complete graphs or of graphs which are nearly complete. Zbl 0549.05027
Chetwynd, A. G.; Hilton, A. J. W.
11
1984
Canonical edge-colourings of locally finite graphs. Zbl 0494.05021
Hilton, A. J. W.
11
1982
The total chromatic number of graphs of high minimum degree. Zbl 0753.05033
Chetwynd, A. G.; Hilton, A. J. W.; Cheng, Zhao
10
1991
The edge-chromatic class of graphs with maximum degree at least \(| V| -3\). Zbl 0692.05032
Chetwynd, A. G.; Hilton, A. J. W.
10
1989
Two conjectures on edge-colouring. Zbl 0677.05025
Hilton, A. J. W.
10
1989
A solution to the embedding problem for partial idempotent Latin squares. Zbl 0509.05020
Andersen, L. D.; Hilton, A. J. W.; Rodger, C. A.
10
1982
School timetables. Zbl 0493.90043
Hilton, A. J. W.
10
1981
Embedding an incomplete diagonal latin square in a complete diagonal latin square. Zbl 0277.05009
Hilton, A. J. W.
10
1973
Amalgamations of connected \(k\)-factorizations. Zbl 1033.05084
Hilton, 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 0865.05041
Hilton, A. J. W.; Zhao, Cheng
9
1996
Outlines of Latin squares. Zbl 0631.05009
Hilton, A. J. W.
9
1987
Some results on Sperner families. Zbl 0421.05001
Greene, C.; Hilton, A. J. W.
9
1979
On Steiner and similar triple systems. Zbl 0188.04004
Hilton, A. J. W.
9
1969
\((r,r+1)\)-factorizations of \((d,d+1)\)-graphs. Zbl 1136.05058
Hilton, A. J. W.
8
2008
A graph-theoretical generalization of Berge’s analogue of the Erdős-Ko-Rado theorem. Zbl 1115.05091
Hilton, A. J. W.; Spencer, C. L.
8
2007
Relations among the fractional chromatic, choice, Hall, and Hall-condition numbers of simple graphs. Zbl 0991.05047
Daneshgar, A.; Hilton, A. J. W.; Johnson, P. D. jun.
8
2001
Graphs which are vertex-critical with respect to the edge-chromatic number. Zbl 0631.05024
Hilton, A. J. W.; Johnson, P. D.
8
1987
Factorizations of regular graphs of high degree. Zbl 0624.05050
Hilton, A. J. W.
8
1985
Generalized Latin rectangles. Zbl 0442.05010
Andersen, L. D.; Hilton, A. J. W.
8
1979
A \(\Delta\)-subgraph condition for a graph to be class 1. Zbl 0611.05025
Chetwynd, A. G.; Hilton, A. J. W.
7
1989
The chromatic index of graphs with at most four vertices of maximum degree. Zbl 0561.05023
Chetwynd, A. G.; Hilton, A. J. W.
7
1984
Embedding incomplete Latin squares in Latin squares whose diagonal is almost completely prescribed. Zbl 0442.05009
Andersen, L. D.; Häggkvist, R.; Hilton, A. J. W.; Poucher, W. B.
7
1980
On the spectra of certain types of latin square. Zbl 0325.05012
Crampin, D. J.; Hilton, A. J. W.
7
1975
Hamiltonian double Latin squares. Zbl 1030.05020
Hilton, A. J. W.; Mays, M.; Rodger, C. A.; Nash-Williams, C. St. J. A.
6
2003
The Hall number of a simple graph. Zbl 0897.05040
Hilton, A. J. W.; Johnson, P. D. jun.; Wantland, E. B.
6
1996
Recent results on the total chromatic number. Zbl 0793.05059
Hilton, A. J. W.
6
1993
On the maximum number of pairwise compatible Euler cycles. Zbl 0701.05033
Fleischner, 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 0626.05028
Chetwynd, A. G.; Hilton, A. J. W.; Hoffman, D. G.
6
1989
The Erdős-Ko-Rado theorem with valency conditions. Zbl 0619.05037
Anderson, I.; Hilton, A. J. W.
6
1986
Spanning trees and Fibonacci and Lucas numbers. Zbl 0311.10012
Hilton, A. J. W.
6
1974
Outline and amalgamated triple systems of even index. Zbl 1023.05023
Ferencak, Michael N.; Hilton, Anthony J. W.
5
2002
Hall’s condition for multicolorings. Zbl 0904.05032
Hilton, A. J. W.; Johnson, P. D. jun.; Leonard, D. A.
5
1997
Exactly \(k\)-to-1 maps between graphs. Zbl 0790.54012
Heath, 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 0766.05013
Hilton, A. J. W.; Rodger, C. A.; Wojciechowski, J.
5
1992
The total chromatic number of nearly complete bipartite graphs. Zbl 0743.05022
Hilton, A. J. W.
5
1991
Extending Hall’s theorem. Zbl 0731.05017
Hilton, A. J. W.; Johnson, P. D. jun.
5
1990
Edge-colouring graphs and embedding partial triple systems of even index. Zbl 0715.05021
Hilton, A. J. W.; Rodger, C. A.
5
1990
Recent progress on edge-colouring graphs. Zbl 0622.05021
Hilton, A. J. W.
5
1987
King Arthur and his knights with two round tables. Zbl 1277.05126
Hilton, A. J. W.; Holroyd, F. C.; Spencer, C. L.
4
2011
Completing partial Latin squares: Cropper’s question. Zbl 1228.05083
Bobga, 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 1211.05115
Hilton, A. J. W.; Spencer, C. L.
4
2009
An algorithm for finding factorizations of complete graphs. Zbl 1015.05075
Hilton, A. J. W.; Johnson, Matthew
4
2003
Extending the disjoint-representatives theorems of Hall, Halmos, and Vaughan to list-multicolorings of graphs. Zbl 0944.05040
Cropper, 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 0934.05001
Hilton, A. J. W.; Johnson, P. D. jun.
4
1999
The dual of an identity of Ahlswede and Zhang. Zbl 0952.05072
Hilton, A. J. W.; Stirling, D. S. G.
4
1998
A sufficient condition for a regular graph to be Class 1. Zbl 0790.05066
Hilton, A. J. W.; Zhao, Cheng
4
1993
The existence of \(k\)-to-1 continuous maps between graphs when \(k\) is sufficiently large. Zbl 0783.05042
Hilton, A. J. W.
4
1993
The initial and the threshold values for exactly \(k\)-to-1 continuous maps between graphs. Zbl 0789.05033
Hilton, A. J. W.
4
1992
Alternating Hamiltonian circuits in edge-coloured bipartite graphs. Zbl 0751.05066
Hilton, A. J. W.
4
1992
A variation of Ryser’s theorem and a necessary condition for the list- colouring problem. Zbl 0693.05034
Hilton, Anthony; Johnson, Peter
4
1990
Graphs which are vertex-critical with respect to the edge-chromatic class. Zbl 0725.05041
Hilton, A. J.; Johnson, P. D.
4
1989
Edge-colorings of graphs: A progress report. Zbl 0792.05052
Hilton, A. J. W.; Wilson, Robin J.
4
1989
The edge-chromatic class of regular graphs of degree 4 and their complements. Zbl 0612.05029
Chetwynd, A. G.; Hilton, A. J. W.
4
1987
A generalization of Plantholt’s theorem. Zbl 0609.05037
Hilton, A. J. W.
4
1986
A generalization of Sperner’s theorem. Zbl 0484.05011
Daykin, D. E.; Frankl, P.; Greene, C.; Hilton, A. J. W.
4
1981
Definitions of criticality with respect to edge-coloring. Zbl 0373.05054
Hilton, A. J. W.
4
1977
Multicolouring graphs and hypergraphs. Zbl 0395.05036
Hilton, A. J. W.; Rado, R.; Scott, S. H.
4
1976
A theorem on finite sets. Zbl 0324.05004
Hilton, A. J. W.
4
1976
An analogue of Ryser’s theorem for partial Sudoku squares. Zbl 1242.05041
Cameron, 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 1214.05123
Hilton, A. J. W.
3
2009
List multicolorings of graphs with measurable sets. Zbl 1113.05033
Hilton, A. J. W.; Johnson, P. D.
3
2007
Cycle decompositions of the complete graph. Zbl 1174.05412
Hilton, A. J. W.; Johnson, Matthew
3
2006
Semiregular factorization of simple graphs. Zbl 1078.05070
Hilton, A. J. W.; Wojciechowski, Jerzy
3
2005
A sufficient condition for a graph to be the core of a Class 2 graph. Zbl 0963.05053
Dugdale, 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 0876.05015
Andersen, L. D.; Hilton, A. J. W.
3
1997
Alternating Hamiltonian cycles in two colored complete bipartite graphs. Zbl 0760.05036
Chetwynd, A. G.; Hilton, A. J. W.
3
1992
Outline symmetric Latin squares. Zbl 0753.05012
Chetwynd, A. G.; Hilton, A. J. W.
3
1991
On two conjectures about edge-colouring hypergraphs. Zbl 0734.05065
Berge, C.; Hilton, A. J. W.
3
1990
At most k-to-1 continuous mappings between graphs. Zbl 0715.05050
Heath, Jo; Hilton, Anthony J. W.
3
1990
Trees that admit 3-to-1 maps onto the circle. Zbl 0743.05017
Heath, Jo; Hilton, A. J. W.
3
1990
Snarks and k-snarks. Zbl 0668.05054
Chetwynd, A. G.; Hilton, A. J. W.
3
1988
Small embeddings of incomplete idempotent latin squares. Zbl 0522.05013
Andersen, L. D.; Hilton, A. J. W.; Rodger, C. A.
3
1983
Embedding incomplete Latin rectangles. Zbl 0497.05017
Hilton, A. J. W.
3
1982
A simple proof of the Kruskal-Katona theorem and of some associated binomial inequalities. Zbl 0339.05012
Hilton, 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 0325.05011
Crampin, D. J.; Hilton, A. J. W.
3
1975
Hall’s condition for partial Latin squares. Zbl 1346.05022
Hilton, A. J. W.; Vaughan, E. R.
1
2015
Hall’s theorem and extending partial Latinized rectangles. Zbl 1303.05021
Goldwasser, J. L.; Hilton, A. J. W.; Hoffman, D. G.; Özkan, Sibel
1
2015
Wiggles and finitely discontinuous \(k\)-to-1 functions between graphs. Zbl 1276.05032
Gauci, John Baptist; Hilton, Anthony J. W.; Stark, Dudley
1
2013
An analogue of Ryser’s theorem for partial Sudoku squares. Zbl 1242.05041
Cameron, P. J.; Hilton, A. J. W.; Vaughan, E. R.
3
2012
King Arthur and his knights with two round tables. Zbl 1277.05126
Hilton, A. J. W.; Holroyd, F. C.; Spencer, C. L.
4
2011
Completing partial Latin squares: Cropper’s question. Zbl 1228.05083
Bobga, B. B.; Goldwasser, J. L.; Hilton, A. J. W.; Johnson, P. D. jun.
4
2011
Regular multigraphs and their semiregular factorizations. Zbl 1247.05191
Ferencak, Michael N.; Hilton, Anthony J. W.
1
2011
Cropper’s question and Cruse’s theorem about partial Latin squares. Zbl 1225.05049
Goldwasser, J.; Hilton, A. J. W.; Patterson, D.
1
2011
Degree-bounded factorizations of bipartite multigraphs and of pseudographs. Zbl 1209.05182
Hilton, A. J. W.
2
2010
The Hall strength and the conjugate Hall strength of a partial Latin square. Zbl 1236.05039
Hilton, A. J. W.; Vaughan, E. R.
1
2010
Semiregular factorizations of regular multigraphs. Zbl 1207.05156
Ferencak, Michael N.; Hilton, Anthony J. W.
1
2010
Continuous \(k\)-to-\(1\) functions between complete graphs of even order. Zbl 1188.05053
Dugdale, 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 1211.05115
Hilton, 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 1214.05123
Hilton, A. J. W.
3
2009
Embedding partial 4-cycle systems. Zbl 1211.05056
Hilton, A. J. W.; Lindner, C. C.
2
2009
\((r,r+1)\)-factorizations of \((d,d+1)\)-graphs. Zbl 1136.05058
Hilton, A. J. W.
8
2008
The \(k\)-fold list coloring of cycles with Hall’s condition. Zbl 1187.05051
Cropper, 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 1115.05091
Hilton, A. J. W.; Spencer, C. L.
8
2007
List multicolorings of graphs with measurable sets. Zbl 1113.05033
Hilton, A. J. W.; Johnson, P. D.
3
2007
Cycle decompositions of the complete graph. Zbl 1174.05412
Hilton, A. J. W.; Johnson, Matthew
3
2006
Semiregular factorization of simple graphs. Zbl 1078.05070
Hilton, A. J. W.; Wojciechowski, Jerzy
3
2005
The domination number of cubic Hamiltonian graphs. Zbl 1101.05046
Cropper, M.; Greenwell, D.; Hilton, A. J. W.; Kostochka, A.
2
2005
Amalgamating infinite Latin squares. Zbl 1059.05024
Hilton, Anthony J. W.; Wojciechowski, Jerzy
1
2005
Completing an edge-colouring of \(K_{2m}\) with \(K_r\) and independent edges precoloured. Zbl 1061.05032
Henderson, M. J.; Hilton, A. J. W.
1
2004
Amalgamations of connected \(k\)-factorizations. Zbl 1033.05084
Hilton, A. J. W.; Johnson, Matthew; Rodger, C. A.; Wantland, E. B.
9
2003
Hamiltonian double Latin squares. Zbl 1030.05020
Hilton, 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 1015.05075
Hilton, A. J. W.; Johnson, Matthew
4
2003
The total chromatic numbers of joins of sparse graphs. Zbl 1031.05049
Hilton, A. J. W.; Liu, Jiping; Zhao, Cheng
2
2003
Outline and amalgamated triple systems of even index. Zbl 1023.05023
Ferencak, Michael N.; Hilton, Anthony J. W.
5
2002
Class 1 graphs associated with regular graphs of high degree. Zbl 1024.05025
Cariolaro, David; Hilton, Anthony J. W.
2
2002
Hall parameters of complete and complete bipartite graphs. Zbl 1013.05031
Cropper, M. M.; Hilton, A. J. W.
2
2002
Non-conformable subgraphs of non-conformable graphs. Zbl 1009.05057
Hilton, A. J. W.; Hind, H. R.
1
2002
Some results on the Oberwolfach problem. Zbl 1012.05135
Hilton, A. J. W.; Johnson, Matthew
12
2001
Relations among the fractional chromatic, choice, Hall, and Hall-condition numbers of simple graphs. Zbl 0991.05047
Daneshgar, A.; Hilton, A. J. W.; Johnson, P. D. jun.
8
2001
The overfull conjecture and the conformability conjecture. Zbl 0992.05037
Hilton, A. J. W.; Holroyd, F. C.; Zhao, Cheng
1
2001
Aspects of edge list-colourings. Zbl 0973.05031
Hilton, 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 0944.05040
Cropper, 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 0963.05053
Dugdale, J. K.; Hilton, A. J. W.
3
2000
Fractional latin squares, simplex algebras, and generalized quotients. Zbl 0955.05018
Dugdale, J. K.; Hilton, A. J. W.; Wojciechowski, J.
2
2000
Progress on the Hall-number-two problem. Zbl 0961.05024
Eslahchi, Ch.; Hilton, A. J. W.; Johnson, P. D. jun.
2
2000
The Hall-condition index of a graph and the overfull conjecture. Zbl 0971.05049
Dugdale, J. K.; Eslahchi, Ch.; Hilton, A. J. W.
1
2000
Some problems about \(r\)-factorizations of complete graphs. Zbl 0967.05048
Hilton, A. J. W.; Johnstone, W. R.
1
2000
The scope of three colouring conjectures. Zbl 0944.05036
Cropper, 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 0934.05001
Hilton, A. J. W.; Johnson, P. D. jun.
4
1999
Totally critical graphs and the conformability conjecture. Zbl 0943.05034
Hamilton, G. M.; Hilton, A. J. W.; Hind, H. R. F.
2
1999
Totally critical even order graphs. Zbl 0935.05043
Hamilton, G. M.; Hilton, A. J. W.; Hind, H. R. F.
1
1999
The dual of an identity of Ahlswede and Zhang. Zbl 0952.05072
Hilton, A. J. W.; Stirling, D. S. G.
4
1998
Hall’s condition for multicolorings. Zbl 0904.05032
Hilton, 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 0876.05015
Andersen, 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 0879.05026
Hamilton, 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 0865.05041
Hilton, A. J. W.; Zhao, Cheng
9
1996
The Hall number of a simple graph. Zbl 0897.05040
Hilton, A. J. W.; Johnson, P. D. jun.; Wantland, E. B.
6
1996
At most \(k\)-to-1 mappings between graphs. II. Zbl 0851.05077
Heath, Jo; Hilton, A. J. W.
2
1996
Some improper list colouring theorems. Zbl 0974.05032
Hilton, A. J. W.
1
1996
Updating the conformability conjecture. Zbl 0974.05031
Hamilton, 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 0851.05086
Hilton, A. J. W.; Liu, J. P.; Zhao, C.
1
1996
A sufficient condition for equitable edge-colourings of simple graphs. Zbl 0798.05022
Hilton, A. J. W.; de Werra, Dominique
19
1994
Amalgamated factorizations of complete graphs. Zbl 0812.05047
Dugdale, J. K.; Hilton, A. J. W.
2
1994
Extensions of \(k\)-to-1 maps between graphs. Zbl 0804.05027
Heath, Jo; Hilton, A. J. W.
2
1994
The total chromatic number of regular graphs whose complement is bipartite. Zbl 0794.05028
Dugdale, J. K.; Hilton, A. J. W.
2
1994
Symmetric latin square and complete graph analogues of the Evans conjecture. Zbl 0821.05005
Andersen, Lars Døvling; Hilton, A. J. W.
1
1994
The total chromatic number of graphs having large maximum degree. Zbl 0785.05035
Hilton, A. J. W.; Hind, H. R.
16
1993
Recent results on the total chromatic number. Zbl 0793.05059
Hilton, A. J. W.
6
1993
A sufficient condition for a regular graph to be Class 1. Zbl 0790.05066
Hilton, A. J. W.; Zhao, Cheng
4
1993
The existence of \(k\)-to-1 continuous maps between graphs when \(k\) is sufficiently large. Zbl 0783.05042
Hilton, A. J. W.
4
1993
Weighted quasigroups. Zbl 0788.05008
Hilton, Anthony J. W.; Wojciechowski, Jerzy
2
1993
The chromatic index of a graph whose core has maximum degree two. Zbl 0772.05041
Hilton, A. J. W.; Cheng, Zhao
12
1992
Exactly \(k\)-to-1 maps between graphs. Zbl 0790.54012
Heath, 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 0766.05013
Hilton, 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 0789.05033
Hilton, A. J. W.
4
1992
Alternating Hamiltonian circuits in edge-coloured bipartite graphs. Zbl 0751.05066
Hilton, A. J. W.
4
1992
Alternating Hamiltonian cycles in two colored complete bipartite graphs. Zbl 0760.05036
Chetwynd, A. G.; Hilton, A. J. W.
3
1992
The embedding of partial triple systems when 4 divides \(\lambda\). Zbl 0758.05022
Hilton, A. J. W.; Rodger, C. A.
13
1991
The total chromatic number of graphs of high minimum degree. Zbl 0753.05033
Chetwynd, A. G.; Hilton, A. J. W.; Cheng, Zhao
10
1991
The total chromatic number of nearly complete bipartite graphs. Zbl 0743.05022
Hilton, A. J. W.
5
1991
Outline symmetric Latin squares. Zbl 0753.05012
Chetwynd, 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 0741.05029
Hamilton, G. M.; Hilton, A. J. W.
2
1991
The relationship between an edge colouring conjecture and a total colouring conjecture. Zbl 0741.05030
Hilton, 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 0716.05021
Chetwynd, A. G.; Hilton, A. J. W.
15
1990
A total-chromatic number analogue of Plantholt’s theorem. Zbl 0714.05025
Hilton, A. J. W.
12
1990
On the maximum number of pairwise compatible Euler cycles. Zbl 0701.05033
Fleischner, H.; Hilton, A. J. W.; Jackson, Bill
6
1990
Extending Hall’s theorem. Zbl 0731.05017
Hilton, A. J. W.; Johnson, P. D. jun.
5
1990
Edge-colouring graphs and embedding partial triple systems of even index. Zbl 0715.05021
Hilton, A. J. W.; Rodger, C. A.
5
1990
A variation of Ryser’s theorem and a necessary condition for the list- colouring problem. Zbl 0693.05034
Hilton, Anthony; Johnson, Peter
4
1990
On two conjectures about edge-colouring hypergraphs. Zbl 0734.05065
Berge, C.; Hilton, A. J. W.
3
1990
At most k-to-1 continuous mappings between graphs. Zbl 0715.05050
Heath, Jo; Hilton, Anthony J. W.
3
1990
Trees that admit 3-to-1 maps onto the circle. Zbl 0743.05017
Heath, Jo; Hilton, A. J. W.
3
1990
The total chromatic number of regular graphs of order \(2n\) and degree \(2n-3\). Zbl 0742.05040
Dugdale, J. K.; Hilton, A. J. W.
1
1990
1-factorizing regular graphs of high degree - an improved bound. Zbl 0675.05030
Chetwynd, A. G.; Hilton, A. J. W.
24
1989
The edge-chromatic class of graphs with maximum degree at least \(| V| -3\). Zbl 0692.05032
Chetwynd, A. G.; Hilton, A. J. W.
10
1989
Two conjectures on edge-colouring. Zbl 0677.05025
Hilton, A. J. W.
10
1989
A \(\Delta\)-subgraph condition for a graph to be class 1. Zbl 0611.05025
Chetwynd, A. G.; Hilton, A. J. W.
7
1989
On the \(\Delta\)-subgraph of graphs which are critical with respect to the chromatic index. Zbl 0626.05028
Chetwynd, A. G.; Hilton, A. J. W.; Hoffman, D. G.
6
1989
Graphs which are vertex-critical with respect to the edge-chromatic class. Zbl 0725.05041
Hilton, A. J.; Johnson, P. D.
4
1989
Edge-colorings of graphs: A progress report. Zbl 0792.05052
Hilton, A. J. W.; Wilson, Robin J.
4
1989
Some refinements of the total chromatic number conjecture. Zbl 0677.05026
Chetwynd, A. G.; Hilton, A. J. W.
12
1988
Snarks and k-snarks. Zbl 0668.05054
Chetwynd, A. G.; Hilton, A. J. W.
3
1988
Recent results on edge-colouring graphs, with applications to the total- chromatic number. Zbl 0661.05025
Hilton, A. J. W.
1
1988
Reverse class critical multigraphs. Zbl 0643.05031
Hilton, A. J. W.; Johnson, P. D.
1
1988
Outlines of Latin squares. Zbl 0631.05009
Hilton, A. J. W.
9
1987
...and 65 more Documents
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. Second Series
2 Mathematica Slovaca
2 Journal of Information & Optimization Sciences
2 Acta Mathematicae Applicatae Sinica. English Series
2 Discrete & Computational Geometry
2 Applied Mathematics Letters
2 Science in China. Series A
2 Aequationes Mathematicae
2 International Journal of Computer Mathematics
2 Opuscula Mathematica
2 Mathematical Methods of Operations Research
2 Journal of Applied Mathematics and Computing
2 Forum of Mathematics, Sigma
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 American Mathematical Monthly
1 International Journal of Mathematical Education in Science and Technology
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 Mathematics Magazine
1 Acta Mathematica
1 Bulletin of the London Mathematical Society
1 Commentationes Mathematicae Universitatis Carolinae
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Geometry
1 Journal of Soviet Mathematics
1 Memoirs of the American Mathematical Society
1 Networks
1 Quaestiones Mathematicae
1 SIAM Journal on Computing
1 Tohoku Mathematical Journal. 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

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