11,995 research outputs found
Forwarding and optical indices of 4-regular circulant networks
An all-to-all routing in a graph is a set of oriented paths of , with
exactly one path for each ordered pair of vertices. The load of an edge under
an all-to-all routing is the number of times it is used (in either
direction) by paths of , and the maximum load of an edge is denoted by
. The edge-forwarding index is the minimum of
over all possible all-to-all routings , and the arc-forwarding index
is defined similarly by taking direction into
consideration, where an arc is an ordered pair of adjacent vertices. Denote by
the minimum number of colours required to colour the paths of such
that any two paths having an edge in common receive distinct colours. The
optical index is defined to be the minimum of over all possible
, and the directed optical index is defined
similarly by requiring that any two paths having an arc in common receive
distinct colours. In this paper we obtain lower and upper bounds on these four
invariants for -regular circulant graphs with connection set , . We give approximation algorithms with performance ratio a
small constant for the corresponding forwarding index and routing and
wavelength assignment problems for some families of -regular circulant
graphs.Comment: 19 pages, no figure in Journal of Discrete Algorithms 201
Pair production of neutralinos via photon-photon collisions
We investigated the production of neutralino pairs via photon-photon
collisions in the minimal supersymmetric model(MSSM) at future linear
colliders. The numerical analysis of their production rates is carried out in
the mSUGRA scenario. The results show that this cross section can reach about
18 femto barn for pair production
and 9 femto barn for pair production
with our chosen input parameters.Comment: LaTex File, 3 EPS Files, 17 page
A maximum likelihood estimate of natural mortality for brown tiger prawn (Penaeus esculentus) in Moreton Bay (Australia)
The delay difference model was implemented to fit 21 years of brown tiger
prawn (Penaeus esculentus) catch in Moreton Bay by maximum likelihood to assess
the status of this stock. Monte Carlo simulations testing of the stock
assessment software coded in C++ showed that the model could estimate
simultaneously natural mortality in addition to catchability, recruitment and
initial biomasses. Applied to logbooks data collected from 1990 to 2010, this
implementation of the delay difference provided for the first time an estimate
of natural mortality for brown tiger prawn in Moreton Bay, equal to week. This estimate is approximately 30\% lower than the value of
natural mortality (0.045 week) used in previous stock assessments of
this species
Characterization of phenanthrenequinone-doped poly(methyl methacrylate) for holographic memory
The holographic recording characteristics of phenanthrenequinone- (PQ-) doped poly(methyl methacrylate) are investigated. The exposure sensitivity is characterized for single-hologram recording, and the M/# is measured for samples as thick as 3 mm. Optically induced birefringence is observed in this material
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