Large butterfly Cayley graphs and digraphs

We present families of large undirected and directed Cayley graphs whose construction is related to butterfly networks. One approach yields, for every large $k$ and for values of $d$ taken from a large interval, the largest known Cayley graphs and digraphs of diameter $k$ and degree $d$. Another method yields, for sufficiently large $k$ and infinitely many values of $d$, Cayley graphs and digraphs of diameter $k$ and degree $d$ whose order is exponentially larger in $k$ than any previously constructed. In the directed case, these are within a linear factor in $k$ of the Moore bound.Comment: 7 page

Report on a complaint by the former board of Wirral Metropolitan College against the FEFC

This ia a report by FEFC Ombudsma

Measurement of the CKM angle alpha with the B-factories

B-meson decays involving b->u transitions are sensitive to the Unitarity Triangle angle alpha (or phi_2). The B-factories at SLAC and KEK have made significant progress toward the measurement of alpha in recent years. This paper summarizes the results of the B-factories' constraints on alpha.Comment: Submitted to Modern Physics Letters

The rural landscape of neopalatial Kythera: A GIS perspective

Intensive archaeological survey on the island of Kythera (Greece) has revealed, in unprecedented detail, a landscape of dispersed rural settlements dating to the mid-2nd millennium BC. This paper deploys a series of GIS and spatial analysis techniques to illuminate the way this landscape was structured, in terms of social organization, agriculture and island demography. Discussion begins by quantifying site numbers, size and hierarchy. It then examines patterns of settlement dispersal, highlighting the subsistence strategies probably underpinning such a landscape. Emphasis is placed on reconstructing where possible the dynamics of colonization and the motivations behind site location. A final section proposes population figures for the island and considers a range of site-level interactions