We prove that for every c > 0 there exists a constant K = K(c) such that every graph G with n vertices and minimum degree at least cn contains a cycle of length t for every even...
A graph of order n is said to be pancyclic if it contains cycles of all lengths from three to n. Let G be a hamiltonian graph and let x and y be vertices of G that are consecutive ...
Michael Ferrara, Michael S. Jacobson, Angela Harri...
A Meyniel graph is a graph in which every odd cycle of length at least five has two chords. We present a linear-time algorithm that colors optimally the vertices of a Meyniel grap...
We study the cycles generated by the chip firing game associated with n-cube orientations. We show the existence of the cycles generated by parallel evolutions of even lengths fro...
The parallel repetition theorem states that for any two-prover game, with value 1 − (for, say, ≤ 1/2), the value of the game repeated in parallel n times is at most (1 − c)â...