A. Hilton

most citedAn analogue of Ryser's Theorem for partial Sudoku squares

5 citations · 7 across the 3 of their papers we have counts for

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math.CO2019

The simple graph threshold number $σ (r, s, a, t)$

A. J. W. Hilton, A. Rajkumar

For $d \geq 1$ , $s \geq 0$ a $(d, d + s)$ -{\em graph} is a graph whose degrees all lie in the interval ${d, d + 1, \dots, d + s}$ . For $r \geq 1$ , $a \geq 0$ , an $(r, r + a)$ -{\em factor}…

math.CO2011★ 5 cited

An analogue of Ryser's Theorem for partial Sudoku squares

P. J. Cameron, A. J. W. Hilton, E. R. Vaughan

In 1956 Ryser gave a necessary and sufficient condition for a partial latin rectangle to be completable to a latin square. In 1990 Hilton and Johnson showed that Ryser's condition…

math.CO2011★ 2 cited

Hall's Condition for Partial Latin Squares

A. J. W. Hilton, E. R. Vaughan

Hall's Condition is a necessary condition for a partial latin square to be completable. Hilton and Johnson showed that for a partial latin square whose filled cells form a rectangl…

The simple graph threshold number σ(r,s,a,t)

An analogue of Ryser's Theorem for partial Sudoku squares

Hall's Condition for Partial Latin Squares

The simple graph threshold number $σ (r, s, a, t)$