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math.CO2024
Gallai's Path Decomposition of Levi Graph
Akankshya Sahu, Sajith Padinhatteeri
Gallai's path decomposition conjecture states that for a connected graph on vertices, there exists a path decomposition of size . The Levi graph…
math.CO2017
Vertex transitive graphs with and small automorphism group
Niranjan Balachandran, Sajith Padinhatteeri, Pablo Spiga
For a graph and a positive integer , a vertex labelling is said to be -distinguishing if no non-trivial automorphism of preserves the sets…
math.CO2016
The List Distinguishing Number of Kneser Graphs
Niranjan Balachandran, Sajith Padinhatteeri
A graph is said to be -distinguishable if the vertex set can be colored using colors such that no non-trivial automorphism fixes every color class, and the distinguishin…