Decomposing complete equipartite graphs into short odd cycles.
Smith, Benjamin R., Cavenagh, Nicholas J. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Smith, Benjamin R., Cavenagh, Nicholas J. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Smith, Benjamin R. (2009)
The Electronic Journal of Combinatorics [electronic only]
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A graph is edge cycle extendable if every cycle C that is formed from edges and one chord of a larger cycle C⁺ is also formed from edges and one chord of a cycle C' of length one greater than C with V(C') ⊆ V(C⁺). Edge cycle extendable graphs are characterized by every block being either chordal (every nontriangular cycle has a chord) or chordless (no nontriangular cycle has a chord); equivalently, every chord of a cycle of length five or more has a noncrossing chord.
Lai, Chunhui (2001)
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