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ORCIDAnthony J. W. Hilton
Person information
- affiliation: University of Reading, Department of Mathematics and Statistics, Whiteknights, UK
- award (1998): Euler Medal
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2020 – today
- 2022
[j89]Lars Døvling Andersen, Stacie Baumann
, Anthony J. W. Hilton, Christopher A. Rodger:
On Completing Partial Latin Squares with Prescribed Diagonals. Electron. J. Comb. 29(3) (2022)
2010 – 2019
- 2019
- [j88]John L. Goldwasser, Anthony J. W. Hilton, Jie Zheng:
Several families with incomparability and complementarity conditions. Discret. Appl. Math. 266: 103-110 (2019) - 2016
- [j87]Anthony J. W. Hilton, Anitha Rajkumar:
The pseudograph (r, s, a, t)-threshold number. Discret. Appl. Math. 209: 153-163 (2016) - 2015
- [j86]John L. Goldwasser, Anthony J. W. Hilton, Dean G. Hoffman, Sibel Özkan:
Hall's theorem and extending partial latinized rectangles. J. Comb. Theory A 130: 26-41 (2015) - 2013
- [j85]John Baptist Gauci, Anthony J. W. Hilton, Dudley Stark:
Wiggles and Finitely Discontinuous k-to-1 Functions Between Graphs. J. Graph Theory 74(3): 275-308 (2013) - 2011
- [j84]B. B. Bobga, John L. Goldwasser, Anthony J. W. Hilton, Peter D. Johnson Jr.:
Completing partial latin squares: Cropper's question. Australas. J Comb. 49: 127-152 (2011) - 2010
- [j83]Anthony J. W. Hilton:
Degree-bounded factorizations of bipartite multigraphs and of pseudographs. Discret. Math. 310(2): 288-302 (2010) - [j82]J. Keith Dugdale, Stanley Fiorini, Anthony J. W. Hilton, John Baptist Gauci:
Continuous k-to-1 functions between complete graphs of even order. Discret. Math. 310(2): 330-346 (2010) - [j81]Mathew Cropper, Anthony J. W. Hilton, Peter D. Johnson Jr., Jenö Lehel:
List multicoloring problems involving the k-fold Hall numbers. J. Graph Theory 65(1): 16-34 (2010) - [j80]John Baptist Gauci, Anthony J. W. Hilton:
Continuous k-to-1 functions between complete graphs whose orders are of a different parity. J. Graph Theory 65(1): 35-60 (2010)
2000 – 2009
- 2009
- [j79]David Cariolaro, Anthony J. W. Hilton:
An application of Tutte's Theorem to 1-factorization of regular graphs of high degree. Discret. Math. 309(14): 4736-4745 (2009) - [j78]Anthony J. W. Hilton, C. L. Spencer:
A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table. J. Comb. Theory A 116(5): 1023-1033 (2009) - [j77]Anthony J. W. Hilton:
On the number of (r, r+1)- factors in an (r, r+1)-factorization of a simple graph. J. Graph Theory 60(4): 257-268 (2009) - 2008
- [j76]Anthony J. W. Hilton:
(r, r+1)-factorizations of (d, d+1)-graphs. Discret. Math. 308(5-6): 645-669 (2008) - 2007
- [j75]Anthony J. W. Hilton, Peter D. Johnson Jr.:
List multicolorings of graphs with measurable sets. J. Graph Theory 54(3): 179-193 (2007) - 2006
- [j74]Anthony J. W. Hilton, Matthew Johnson:
Cycle decompositions of the complete graph. Ars Comb. 81 (2006) - 2005
- [j73]Jianliang Wu, Ping Wang, Anthony J. W. Hilton:
Two sufficient conditions for a graph to be type 1. Ars Comb. 76 (2005) - [j72]Anthony J. W. Hilton, Jerzy Wojciechowski:
Amalgamating infinite latin squares. Discret. Math. 292(1-3): 67-81 (2005) - 2004
- [j71]Anthony J. W. Hilton, Matthew Johnson:
Amalgamations of factorizations of complete equipartite graphs. Discret. Math. 284(1-3): 157-175 (2004) - 2003
- [j70]Anthony J. W. Hilton, Jiping Liu, Cheng Zhao:
The total chromatic numbers of joins of sparse graphs. Australas. J Comb. 28: 93-106 (2003) - [j69]J. Keith Dugdale, Anthony J. W. Hilton:
The structure of totally critical graphs of odd order. Discret. Math. 266(1-3): 229-238 (2003) - [j68]Anthony J. W. Hilton, Michael E. Mays, Christopher A. Rodger, Crispin St. John Alvah Nash-Williams:
Hamiltonian double latin squares. J. Comb. Theory B 87(1): 81-129 (2003) - [j67]Anthony J. W. Hilton, Matthew Johnson, Christopher A. Rodger, Evan B. Wantland:
Amalgamations of connected k-factorizations. J. Comb. Theory B 88(2): 267-279 (2003) - [j66]Anthony J. W. Hilton, Matthew Johnson:
An algorithm for finding factorizations of complete graphs. J. Graph Theory 43(2): 132-136 (2003) - 2002
- [j65]Anthony J. W. Hilton, H. R. Hind:
Non-conformable subgraphs of non-conformable graphs. Discret. Math. 256(1-2): 203-224 (2002) - [j64]Mathew Cropper, Anthony J. W. Hilton:
Hall parameters of complete and complete bipartite graphs. J. Graph Theory 41(3): 208-237 (2002) - 2001
- [j63]Anthony J. W. Hilton, Tomaz Slivnik, David S. G. Stirling:
Aspects of edge list-colourings. Discret. Math. 231(1-3): 253-264 (2001) - [j62]Amir Daneshgar, Anthony J. W. Hilton, Peter D. Johnson Jr.:
Relations among the fractional chromatic, choice, Hall, and Hall-condition numbers of simple graphs. Discret. Math. 241(1-3): 189-199 (2001) - [j61]Anthony J. W. Hilton, Fred C. Holroyd, Cheng Zhao:
The Overfull Conjecture and the Conformability Conjecture. Discret. Math. 241(1-3): 343-361 (2001) - 2000
- [j60]Changiz Eslahchi, Anthony J. W. Hilton, Peter D. Johnson Jr.:
Progress on the Hall-Number-Two problem. Australas. J Comb. 21: 211-236 (2000) - [j59]J. Keith Dugdale, Anthony J. W. Hilton:
A Sufficient Condition For A Graph To Be The Core Of A Class 2 Graph. Comb. Probab. Comput. 9(2): 97-104 (2000) - [j58]Matthew M. Cropper, John L. Goldwasser, Anthony J. W. Hilton, Dean G. Hoffman, Peter D. Johnson Jr.:
Extending the disjoint-representatives theorems of Hall, Halmos, and Vaughan to list-multicolorings of graphs. J. Graph Theory 33(4): 199-219 (2000)
1990 – 1999
- 1999
- [j57]Anthony J. W. Hilton, Peter D. Johnson Jr.:
The Hall Number, the Hall Index, and the Total Hall Number of a Graph. Discret. Appl. Math. 94(1-3): 227-245 (1999) - [j56]G. M. Hamilton, Anthony J. W. Hilton, H. R. F. Hind:
Totally Critical Even Order Graphs. J. Comb. Theory B 76(2): 262-279 (1999) - 1998
- [j55]Anthony J. W. Hilton, David S. G. Stirling, Tomaz Slivnik:
A Vertex-Splitting Lemma, de Werra's Theorem, and Improper List Colourings. J. Comb. Theory B 72(1): 91-103 (1998) - 1997
- [j54]Anthony J. W. Hilton, C. Zhao:
Vertex-splitting and Chromatic Index Critical Graphs. Discret. Appl. Math. 76(1-3): 205-211 (1997) - [j53]Lars Døvling Andersen, Anthony J. W. Hilton:
Triangulations of 3-way regular tripartite graphs of degree 4, with applications to orthogonal latin squares. Discret. Math. 167-168: 17-34 (1997) - [j52]Anthony J. W. Hilton, C. Zhao:
Coloring graphs which have equibipartite complements. J. Graph Theory 26(4): 183-194 (1997) - 1996
- [j51]Anthony J. W. Hilton, Jiping Liu, Cheng Zhao:
Graphs That Admit 3-to-1 or 2-to-1 Maps onto the Circle. Discret. Appl. Math. 65(1-3): 347-377 (1996) - [j50]Jo Heath, Anthony J. W. Hilton:
At most k-to-1 mappings between graphs, II. Discret. Math. 154(1-3): 85-102 (1996) - 1995
- [j49]Anthony J. W. Hilton, J. Keith Dugdale:
Disconnection numbers, pizza cuts, and cycle rank. Ars Comb. 40 (1995) - 1994
- [j48]J. Keith Dugdale, Anthony J. W. Hilton:
Amalgemated Factorizations of Complete Graphs. Comb. Probab. Comput. 3: 215-231 (1994) - [j47]J. Keith Dugdale, Anthony J. W. Hilton:
The total chromatic number of regular graphs whose complement is bipartite. Discret. Math. 126(1-3): 87-98 (1994) - [j46]Anthony J. W. Hilton, Dominique de Werra:
A sufficient condition for equitable edge-colourings of simple graphs. Discret. Math. 128(1-3): 179-201 (1994) - 1993
- [j45]Anthony J. W. Hilton:
Recent results on the total chromatic number. Discret. Math. 111(1-3): 323-331 (1993) - [j44]Anthony J. W. Hilton, H. R. Hind:
The total chromatic number of graphs having large maximum degree. Discret. Math. 117(1-3): 127-140 (1993) - [j43]Anthony J. W. Hilton:
The existence of k-to-1 continuous maps between graphs when k is sufficiently large. J. Graph Theory 17(4): 443-461 (1993) - [j42]Anthony J. W. Hilton, Cheng Zhao:
A sufficient condition for a regular graph to be class 1. J. Graph Theory 17(6): 701-712 (1993) - 1992
- [j41]Anthony J. W. Hilton:
Alternating Hamiltonian circuits in edge-coloured bipartite graphs. Discret. Appl. Math. 35(3): 271-273 (1992) - [j40]Anthony J. W. Hilton, Cheng Zhao:
The chromatic index of a graph whose core has maximum degree two. Discret. Math. 101(1-3): 135-147 (1992) - [j39]Amanda G. Chetwynd, Anthony J. W. Hilton:
Alternating hamiltonian cycles in two colored complete bipartite graphs. J. Graph Theory 16(2): 153-158 (1992) - 1991
- [j38]Amanda G. Chetwynd, Anthony J. W. Hilton:
Outline symmetric latin squares. Discret. Math. 97(1-3): 101-117 (1991) - [j37]Anthony J. W. Hilton:
The total chromatic number of nearly complete bipartite graphs. J. Comb. Theory B 52(1): 9-19 (1991) - [j36]Anthony J. W. Hilton, Christopher A. Rodger:
The embedding of partial triple systems when 4 divides lambda. J. Comb. Theory A 56(1): 109-137 (1991) - 1990
- [j35]Anthony J. W. Hilton:
A total-chromatic number analogue of plantholt's theorem. Discret. Math. 79(2): 169-175 (1990) - [j34]Amanda G. Chetwynd, Anthony J. W. Hilton:
The chromatic index of graphs with large maximum degree, where the number of vertices of maximum degree is relatively small. J. Comb. Theory B 48(1): 45-66 (1990) - [j33]Herbert Fleischner, Anthony J. W. Hilton, Bill Jackson:
On the maximum number of pairwise compatible euler cycles. J. Graph Theory 14(1): 51-63 (1990) - [j32]Jo Heath, Anthony J. W. Hilton:
Trees that admit 3-to-1 maps onto the circle. J. Graph Theory 14(3): 311-320 (1990)
1980 – 1989
- 1989
- [j31]Anthony J. W. Hilton:
Two conjectures on edge-colouring. Discret. Math. 74(1-2): 61-64 (1989) - [j30]Amanda G. Chetwynd, Anthony J. W. Hilton:
1-factorizing regular graphs of high degree - an improved bound. Discret. Math. 75(1-3): 103-112 (1989) - [j29]Amanda G. Chetwynd, Anthony J. W. Hilton:
A Delta-subgraph condition for a graph to be class 1. J. Comb. Theory B 46(1): 37-45 (1989) - [j28]Amanda G. Chetwynd, Anthony J. W. Hilton, Dean G. Hoffman:
On the Delta-subgraph of graphs which are critical with respect to the chromatic index. J. Comb. Theory B 46(2): 240-245 (1989) - 1988
- [j27]Anthony J. W. Hilton, Peter D. Johnson Jr.:
Reverse class critical multigraphs. Discret. Math. 69(3): 309-311 (1988) - 1987
- [j26]Amanda G. Chetwynd, Anthony J. W. Hilton:
The edge-chromatic class of regular graphs of degree 4 and their complements. Discret. Appl. Math. 16(2): 125-134 (1987) - [j25]Anthony J. W. Hilton:
Recent progress on edge-colouring graphs. Discret. Math. 64(2-3): 303-307 (1987) - [j24]Anthony J. W. Hilton, Bill Jackson:
A note concerning the chromatic index of multigraphs. J. Graph Theory 11(3): 267-272 (1987) - 1986
- [j23]Anthony J. W. Hilton, Christopher A. Rodger:
Hamiltonian decompositions of complete regular s-partite graphs. Discret. Math. 58(1): 63-78 (1986) - [j22]Amanda G. Chetwynd, Anthony J. W. Hilton:
Critical star multigraphs. Graphs Comb. 2(1): 209-221 (1986) - 1985
- [j21]Anthony J. W. Hilton:
Factorizations of regular graphs of high degree. J. Graph Theory 9(1): 193-196 (1985) - 1984
- [j20]Anthony J. W. Hilton:
Hamiltonian decompositions of complete graphs. J. Comb. Theory B 36(2): 125-134 (1984) - [j19]Amanda G. Chetwynd, Anthony J. W. Hilton:
The chromatic index of graphs of even order with many edges. J. Graph Theory 8(4): 463-470 (1984) - 1983
- [j18]Katherine Heinrich, Anthony J. W. Hilton:
Doubly diagonal orthogonal latin squares. Discret. Math. 46(2): 173-182 (1983) - [j17]David E. Daykin, Anthony J. W. Hilton, D. Miklós:
Pairings from Down-Sets and Up-Sets in Distributive Lattices. J. Comb. Theory A 34(2): 215-230 (1983) - 1982
- [j16]Anthony J. W. Hilton:
Canonical edge-colourings of locally finite graphs. Comb. 2(1): 37-51 (1982) - 1980
- [j15]Lars Døvling Andersen, Anthony J. W. Hilton:
Generalized Latin rectangles I: Construction and decomposition. Discret. Math. 31(2): 125-152 (1980) - [j14]Lars Døvling Andersen, Anthony J. W. Hilton:
Generalized latin rectangles II: Embedding. Discret. Math. 31(3): 235-260 (1980) - [j13]Lars Døvling Andersen, Roland Häggkvist, Anthony J. W. Hilton, William B. Poucher:
Embedding Incomplete Latin Squares in Latin Squares Whose Diagonal is Almost Completely Prescribed. Eur. J. Comb. 1(1): 5-7 (1980)
1970 – 1979
- 1979
- [j12]C. Greene, Anthony J. W. Hilton:
Some Results on Sperner Families. J. Comb. Theory A 26(2): 202-209 (1979) - 1978
- [j11]Anthony J. W. Hilton, Rhys Price Jones:
Further remarks on partitioning the edges of a graph. J. Comb. Theory B 24(2): 249-250 (1978) - [j10]Anthony J. W. Hilton, Rhys Price Jones:
Partitioning the edges of a graph. J. Comb. Theory B 25(3): 290-294 (1978) - 1976
- [j9]Anthony J. W. Hilton, A. Donald Keedwell:
Further results concerning p-quasigroups and complete graph decompositions. Discret. Math. 14(4): 311-318 (1976) - 1975
- [j8]Anthony J. W. Hilton:
Embedding incomplete double diagonal Latin squares. Discret. Math. 12(3): 257-268 (1975) - [j7]D. J. Crampin, Anthony J. W. Hilton:
Remarks on Sade's Disproof of the Euler Conjecture with an Application to Latin Squares Orthogonal to Their Transpose. J. Comb. Theory A 18(1): 47-59 (1975) - [j6]D. J. Crampin, Anthony J. W. Hilton:
On the Spectra of Certain Types of Latin Square. J. Comb. Theory A 19(1): 84-94 (1975) - 1974
- [j5]Anthony J. W. Hilton, S. H. Scott:
A further construction of double diagonal orthogonal latin squares. Discret. Math. 7(1-2): 111-127 (1974) - [j4]David E. Daykin, Jean Godfrey, Anthony J. W. Hilton:
Existence Theorems for Sperner Families. J. Comb. Theory A 17(2): 245-251 (1974) - [j3]Dennis P. Geller, Anthony J. W. Hilton:
How to colour the lines of a bigraph. Networks 4(3): 281-282 (1974) - 1973
- [j2]Anthony J. W. Hilton:
Embedding an Incomplete Diagonal Latin Square in a Complete Diagonal Latin Square. J. Comb. Theory A 15(2): 121-128 (1973) - 1972
- [j1]Anthony J. W. Hilton:
A Simplification of Moore's Proof of the Existence of Steiner Triple Systems. J. Comb. Theory A 13(3): 422-425 (1972)
Coauthor Index
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