Fedor Fomin, Long cycles in graphs: Extremal Combinatorics meets Parameterized Algorithms

Zoom ID: 869 4632 6610 (ibsdimag)

We examine algorithmic extensions of two classic results of extremal combinatorics. First, the theorem of Dirac from 1952 asserts that a 2-connected graph G with the minimum vertex degree d>1, is either Hamiltonian or contains a cycle of length at least 2d. Second, the theorem of Erdős-Gallai from 1959, states that a 2-connected graph G

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