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- Fatima Affif Chaouche, Carrie G. Rutherford, Robin Whitty
- Discussiones Mathematicae Graph Theory
- 2015

It is known that Θ(log n) chords must be added to an n-cycle to produce a pancyclic graph; for vertex pancyclicity, where every vertex belongs to a cycle of every length, Θ(n) chords are required. A possibly ‘intermediate’ variation is the following: given k, 1 ≤ k ≤ n, how many chords must be added to ensure that there exist cycles of every possible length… (More)

- Fatima Affif Chaouche, Carrie G. Rutherford, Robin Whitty
- J. Comb. Optim.
- 2013

Let (E,A) be a set system consisting of a finite collectionA of subsets of a ground set E, and suppose that we have a function φ which maps A into some set S . Now removing a subset K from E gives a restriction A(K̄) to those sets of A disjoint from K, and we have a corresponding restriction φ|A(K̄) of our function φ. If the removal of K does not affect the… (More)

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