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math.HO2023
A Graph-Theoretic Model for a Generic Three-Jug Puzzle
Suresh Manjanath Hegde, Shashanka Kulamarva
A classic three-jug puzzle asks, given three jugs , , and with fixed maximum capacities, with jug filled with wine to its maximum capacity, whether is it possible to…
math.CO2023★ 3 cited
Upper Bounds on the Acyclic Chromatic Index of Degenerate Graphs
Nevil Anto, Manu Basavaraju, Suresh Manjanath Hegde +1
An acyclic edge coloring of a graph is a proper edge coloring without any bichromatic cycles. The acyclic chromatic index of a graph denoted by , is the minimum such…
math.CO2023★ 3 cited
Acyclic Chromatic Index of Chordless Graphs
Manu Basavaraju, Suresh Manjanath Hegde, Shashanka Kulamarva
An acyclic edge coloring of a graph is a proper edge coloring in which there are no bichromatic cycles. The acyclic chromatic index of a graph denoted by , is the minimu…