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math.CO2024
Boolean combinations of graphs
Sarosh Adenwalla, Samuel Braunfeld, John Sylvester +1
Boolean combinations allow combining given combinatorial objects to obtain new, potentially more complicated, objects. In this paper, we initiate a systematic study of this idea ap…
math.CO2024
Avoiding Monotone Arithmetic Progressions in Permutations of Integers
Sarosh Adenwalla
A permutation of the integers avoiding monotone arithmetic progressions of length was constructed in (Geneson, 2018). We improve on this by constructing a permutation of the in…
math.CO2024
A Generalisation of a Result on Monotone Arithmetic Progressions in Permutations of the Positive Integers
Sarosh Adenwalla
A permutation of the positive integers avoiding monotone arithmetic progressions of length with odd common difference was constructed in (LeSaulnier and Vijay, 2011). We genera…