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» Cycles with consecutive odd lengths
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GC
2002
Springer
13 years 9 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 7 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 9 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 9 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
14 years 4 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