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» Cycles with consecutive odd lengths
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GC
2002
Springer
13 years 4 months ago
A Note on Cycle Lengths in Graphs
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...
Ronald J. Gould, Penny E. Haxell, A. D. Scott
GC
2010
Springer
13 years 1 months ago
Cycle Lengths in Hamiltonian Graphs with a Pair of Vertices Having Large Degree Sum
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...
CORR
2004
Springer
111views Education» more  CORR 2004»
13 years 4 months ago
Coloring Meyniel graphs in linear time
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...
Benjamin Lévêque, Frédé...
CORR
2010
Springer
59views Education» more  CORR 2010»
13 years 4 months ago
Parallel Chip Firing Game associated with n-cube orientations
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...
René Ndoundam, Maurice Tchuente, Claude Tad...
FOCS
2008
IEEE
13 years 11 months ago
A Counterexample to Strong Parallel Repetition
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...
Ran Raz