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EJC
2007
14 years 9 months ago
2007
We prove a conjecture of F. Chapoton relating certain enumerative invariants of (a) the cluster complex associated by S. Fomin and A. Zelevinsky with a finite root system and (b)...
EJC
2007
14 years 9 months ago
2007
We give a characterization of the root shadow spaces of buildings whose types correspond to Dynkin diagrams. The results generalize earlier geometric point-line characterizations ...
EJC
2007
14 years 9 months ago
2007
We present a new family of locally 5–arc transitive graphs. The graphs constructed are bipartite with valency {2m + 1, 2m}. The actions of the automorphism group on the two bipa...
EJC
2007
14 years 9 months ago
2007
We present results on the size of the smallest maximal partial ovoids and on the size of the smallest maximal partial spreads of the generalized quadrangles W(q) and Q(4, q). Key ...
EJC
2003
14 years 10 months ago
2003
We present a logic programming based dialogue system that enables the access in natural language to the heterogeneous external relational databases of the Évora University. The p...