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math.CO2022
Bounding the multiplicities of eigenvalues of graph matrices in terms of circuit rank using a new approach
Ahmet Batal
Let be a simple undirected graph, be the circuit rank of , and be the nullity and the multiplicity of eigenvalue of a graph matrix , res…
math.GT2022
K-color region select game
Ahmet Batal, Neslihan Gügümcü
The region select game, introduced by Ayaka Shimizu, Akio Kawauchi and Kengo Kishimoto, is a game that is played on knot diagrams whose crossings are endowed with two colors. The g…