Ian Wanless
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Australian mathematician
Ian Wanless's AcademicInfluence.com Rankings
Ian Wanlessmathematics Degrees
Mathematics
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Measure Theory
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#4409
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Mathematics
Why Is Ian Wanless Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ian Murray Wanless is a professor in the School of Mathematics at Monash University in Melbourne, Australia. His research area is combinatorics, principally Latin squares, graph theory and matrix permanents.
Ian Wanless's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- On the Number of Latin Squares (2005) (178)
- Surveys in Combinatorics 2011: Transversals in latin squares: a survey (2011) (89)
- The number of transversals in a Latin square (2006) (70)
- A Census of Small Latin Hypercubes (2008) (67)
- A Generalisation of Transversals for Latin Squares (2002) (52)
- Acyclic Digraphs and Eigenvalues of O,1 Matrices (2003) (51)
- The Existence of Latin Squares without Orthogonal Mates (2006) (49)
- Diagonally cyclic latin squares (2004) (49)
- Transversals in Latin Squares (2009) (46)
- An update on Minc's survey of open problems involving permanents (2005) (46)
- Atomic Latin Squares based on Cyclotomic Orthomorphisms (2005) (45)
- Enumeration of MOLS of small order (2014) (45)
- Covering radius for sets of permutations (2005) (44)
- Perfect Factorisations of Bipartite Graphs and Latin Squares Without Proper Subrectangles (1999) (44)
- Cycle Switches in Latin Squares (2004) (43)
- Most Latin Squares Have Many Subsquares (1999) (40)
- Cycle structure of autotopisms of quasigroups and latin squares (2012) (33)
- On the number of transversals in Cayley tables of cyclic groups (2010) (32)
- The existence of square integer Heffter arrays (2017) (31)
- A Family of Perfect Factorisations of Complete Bipartite Graphs (2002) (29)
- New families of atomic Latin squares and perfect 1-factorisations (2006) (29)
- Permanents of matrices of signed ones (2005) (28)
- The spectrum for quasigroups with cyclic automorphisms and additional symmetries (2009) (28)
- How not to prove the Alon-Tarsi conjecture (2012) (28)
- Permutation polynomials and orthomorphism polynomials of degree six (2013) (27)
- Atomic Latin squares of order eleven (2004) (27)
- Symmetries that latin squares inherit from 1‐factorizations (2005) (27)
- Bounds on the number of autotopisms and subsquares of a Latin square (2013) (26)
- Latin squares with no small odd plexes (2008) (26)
- The cycle structure of two rows in a random Latin square (2008) (25)
- Compound orthomorphisms of the cyclic group (2010) (24)
- Counting Matchings and Tree-Like Walks in Regular Graphs (2010) (23)
- Indivisible plexes in latin squares (2009) (23)
- Multipartite Hypergraphs Achieving Equality in Ryser’s Conjecture (2014) (22)
- Divisors of the number of Latin rectangles (2010) (20)
- Indivisible partitions of latin squares (2011) (19)
- Maximising the Permanent of (0, 1)-Matrices and the Number of Extensions of Latin Rectangles (1998) (18)
- On Ryser's conjecture for linear intersecting multipartite hypergraphs (2015) (18)
- Regular Graphs with No Homomorphisms onto Cycles (2001) (18)
- Monogamous latin squares (2011) (18)
- Latin trades in groups defined on planar triangulations (2008) (17)
- Maximising the permanent and complementary permanent of (0, 1)-matrices with constant line sum (1999) (17)
- The Order of Automorphisms of Quasigroups (2015) (17)
- Graceful Labelling: State of the Art, Applications and Future Directions (2011) (16)
- Latin Squares and the Hall–Paige Conjecture (2003) (15)
- A Congruence Connecting Latin Rectangles and Partial Orthomorphisms (2012) (15)
- A computer enumeration of small latin trades (2007) (14)
- Latin squares with restricted transversals (2012) (13)
- The Holens-Doković conjecture on permanents fails! (1999) (13)
- Autoparatopisms of Quasigroups and Latin Squares (2017) (12)
- Full rainbow matchings in graphs and hypergraphs (2017) (11)
- Subsquare-free Latin squares of odd order (2007) (11)
- Switching in One-Factorisations of Complete Graphs (2014) (11)
- Nonextendible Latin Cuboids (2012) (11)
- Bounds on the number of small Latin subsquares (2014) (10)
- Addendum To Schrijver's Work On Minimum Permanents (2006) (10)
- Rainbow matchings and transversals (2014) (10)
- A General Framework for Hypergraph Coloring (2022) (10)
- A partial latin squares problem posed by Blackbun (2004) (9)
- A lower bound on the maximum permanent in Λnk (2003) (9)
- Latin Squares with No Transversals (2016) (9)
- Circular designs balanced for neighbours at distances one and two (2014) (9)
- Overlapping latin subsquares and full products (2015) (9)
- Counting 5‐connected planar triangulations (2001) (8)
- Minimum permanents on two faces of the polytope of doubly stochastic matrices (1997) (8)
- Small partial Latin squares that cannot be embedded in a Cayley table (2015) (7)
- Transversals in Latin Arrays with Many Distinct Symbols (2016) (7)
- Quartic integral Cayley graphs (2015) (6)
- Latin squares with one subsquare (2001) (6)
- Mutually Orthogonal Binary Frequency Squares (2019) (6)
- PERFECT 1-FACTORISATIONS OF $K_{16}$ (2019) (6)
- Subgraphs of Random k-Edge-Coloured k-Regular Graphs (2009) (6)
- Erratum: Latin squares with restricted transversals (Journal of Combinatorial Designs (2012) 20 (124-141)) (2012) (6)
- Transversals of Latin squares and covering radius of sets of permutations (2013) (5)
- What did Ryser Conjecture (2018) (5)
- Covers and partial transversals of Latin squares (2017) (5)
- Steiner Triple Systems with High Chromatic Index (2017) (5)
- Asymptotic Enumeration of Graphs with a Given Upper Bound on the Maximum Degree (2002) (5)
- Maximally nonassociative quasigroups via quadratic orthomorphisms (2019) (5)
- Latin Squares with a Unique Intercalate (2016) (4)
- ON THE NUMBER OF QUADRATIC ORTHOMORPHISMS THAT PRODUCE MAXIMALLY NONASSOCIATIVE QUASIGROUPS (2020) (4)
- Permanents and Determinants of Latin Squares (2016) (4)
- McLeish's construction for Latin squares without intercalates (2001) (4)
- Small partial Latin squares that embed in an infinite group but not into any finite group (2017) (4)
- On the periodicity of graph games (1997) (4)
- Answers to Questions by Dénes on Latin Power Sets (2001) (4)
- Trades in complex Hadamard matrices (2015) (4)
- Growth rate of canonical and minimal group embeddings of spherical latin trades (2014) (3)
- Covering radius in the Hamming permutation space (2018) (3)
- Enumeration of Latin squares with conjugate symmetry (2021) (3)
- Multi-directional unitarity and maximal entanglement in spatially symmetric quantum states (2022) (3)
- Non-Extendible Latin Cuboids (2011) (3)
- Parity of sets of mutually orthogonal Latin squares (2017) (3)
- Longest Partial Transversals in Plexes (2014) (3)
- THERE ARE ASYMPTOTICALLY THE SAME NUMBER OF LATIN SQUARES OF EACH PARITY (2016) (3)
- On the existence of retransmission permutation arrays (2012) (2)
- Permanents, matchings and Latin rectangles (1999) (2)
- Exponentially Many Hypergraph Colourings (2020) (2)
- Spectral moments of regular graphs in terms of subgraph counts (2014) (2)
- Existence results for cyclotomic orthomorphisms (2017) (2)
- Degree of orthomorphism polynomials over finite fields (2021) (2)
- Most binary matrices have no small defining set (2019) (2)
- Induced path factors of regular graphs (2018) (2)
- Loops with exponent three in all isotopes (2011) (2)
- Latin squares with maximal partial transversals of many lengths (2019) (2)
- Counting 5-connected planar triangulations (2001) (2)
- Counterexamples on matchings in hypergraphs and full rainbow matchings in graphs (2017) (1)
- Maximal sets of mutually orthogonal frequency squares (2020) (1)
- On Minc's sixth Conjecture (2007) (1)
- Universally noncommutative loops (2011) (1)
- Isomorphisms of quadratic quasigroups (2022) (1)
- Some results towards the Dittert conjecture on permanents (2012) (1)
- Closest multiplication tables of groups (2012) (1)
- An interpretation of the Dittert conjecture in terms of semi-matchings (2007) (1)
- ON THE BRUALDI-LIU CONJECTURE FOR THE EVEN PERMANENT ∗ (2008) (1)
- Path achievement games (2001) (1)
- Lieb's permanental dominance conjecture (2022) (1)
- On Perfect Sequence Covering Arrays (2022) (1)
- Multidimensional permanents of polystochastic matrices (2020) (1)
- Trades in complex Hadamard matrices Padraig Ó Catháin (2015) (0)
- J an 2 01 8 What did Ryser Conjecture ? (2018) (0)
- A Congruence Connecting Latin Rectangles and Partial Orthomorphisms (2012) (0)
- Small Latin arrays have a near transversal (2019) (0)
- Zero-sum flows for Steiner systems (2020) (0)
- A Cube Dismantling Problem Related to Bootstrap Percolation (2012) (0)
- Parity of transversals of Latin squares (2019) (0)
- Latin Squares with Restricted Transversals (2012) (0)
- Existence results for cyclotomic orthomorphisms (2017) (0)
- A bound for the total tardiness problem on a single machine (1997) (0)
- Covers and partial transversals of Latin squares (2018) (0)
- Mutually orthogonal binary frequency squares of mixed type (2022) (0)
- Bounds on the number of autotopisms and subsquares of a Latin square (2013) (0)
- Pairs of MOLS of order ten satisfying non-trivial relations (2022) (0)
- A Cube Dismantling Problem Related to Bootstrap Percolation (2012) (0)
- Longest Partial Transversals in Plexes (2014) (0)
- Distance domination and amplifier placement problems (2006) (0)
- Multipartite Hypergraphs Achieving Equality in Ryser’s Conjecture (2015) (0)
- HOW NOT TO PROVE THE ALON-TARSI (2012) (0)
- N ov 2 02 2 Row-Hamiltonian Latin squares and Falconer varieties ∗ Jack Allsop (2022) (0)
- The asymptotic number of graphs with a restriction on the maximum degree (2000) (0)
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What Schools Are Affiliated With Ian Wanless?
Ian Wanless is affiliated with the following schools:
