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3 papers · 1 filter
math.CO2009
Automorphism groups of a graph and a vertex-deleted subgraph
Stephen G. Hartke, Hannah Kolb, Jared Nishikawa +1
Understanding the structure of a graph along with the structure of its subgraphs is important for several problems in graph theory. Two examples are the Reconstruction Conjecture a…
math.CO2007
The enumeration of maximally clustered permutations
Hugh Denoncourt, Brant C. Jones
The maximally clustered permutations are characterized by avoiding the classical permutation patterns 3421, 4312, and 4321. This class contains the freely-braided permutations and…
math.CO2007
On the maximally clustered elements of Coxeter groups
R. M. Green
We continue the study of the maximally clustered elements for simply laced Coxeter groups which were recently introduced by Losonczy. Such elements include as a special case the fr…