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The opcode speci es the type of MPMC protocol data unit that this is, for example, GATE or REPORT. The time stamp eld which supports the ranging function, which we discuss in the next section. The number of grants/ ags eld of GATE, which, among other things tells how many grants will follow. For REPORT, this byte states the number of queue sets where data awaits transmission upstream. In REPORT there then follows the 1-byte report bitmap indicating which of these upstream queues are even present. There then follow four grants in the case of GATE or eight queue reports for REPORT. The grants tell the ONU the start time and length of each granted transmission interval. The queue reports give the length of each permitted queue in the ONU. For both REPORT and GATE, respectively, the grant

We denote by S(B) the number of circles in a Clar formula of a hexagonal chain B The benzenoid chains with a unique Clar formula (Clar chains) are characterized All the results are taken from the work by Tosic and Stojmenovic [57] It is clear that the chain with exactly one hexagon (h = 1) is a Clar chain The following theorem describes Clar chains for h > 1 Theorem 4 A hexagonal chain B is a Clar chain if and only if its LA-sequence is of the form LAm1 LAm2 L LAmk L, where k 1 and all the numbers m1 , m2 , , mk are odd Proof Let B be a benzenoid chain given by its LA-sequence Lm0 Am1 Lm1 Am2 Lm2 Lmk 1 Amk Lmk , where m0 1; mk 1; mi 0 for i = 1, .

In Germany, an inter-organizational consortium established in 2004 an optical testbed to explore the requirements of large-scale next-generation applications and to investigate new architecture and technologies that could address these requirements. The applications being examined include those supported by distributed computer infrastructure, such as e-science applications supported by Grids, which require dynamic access to high-bandwidth paths and guaranteed high quality of service, nationally and internationally. Research activities include (a) testing new optical network components and network architectures, (b) interoperability studies using network technology from multiple producers, and (c) developing and testing software used for reserving and dynamically provisioning transmission capacity at gigabps ranges and interacting with related networking projects in other parts of Europe and the world. To create the testbed, dedicated wavelength-qualified fiber (dark fiber) was implemented on a wide-area regional testbed. Equipment was implemented that could support lightpaths with multiple 10 Gbps of capacity simultaneously, using DWDM. The testbed was also implemented with high-performance computational clusters, with GE and/or 10GE access paths. Testbed switching technologies include SDH, GE, and 10GE along with new control and management plane technology. Also, new types of testing and measurement methods are being explored. VIOLA was established by a consortium of industrial partners, major research institutions, universities, and science researchers, including the IMK, Research Center J lich, RWTH Aachen and Fachhochschule Bonn-Rhein-Sieg, the DFN-Verein (Germany s National Research and Education Network), Berlin, the University of Bonn, Alcatel SEL AG, Stuttgart, Research Center J lich, Central Institute for Applied Mathematics, J lich, Rheinische Friedrich-Wilhelms-University, Institute for Computerscience IV, Bonn, Siemens AG, M nchen, and T-Systems International GmbH (TSI), N rnberg. VIOLA is sponsored by the German Federal Ministry of Education and Research (BMBF) (www.viola-testbed.de).

bank When the short message centre of the network operator receives such a message, it cannot decipher the actual contents, as the operator is not in possession of the keys Instead, the message will be forwarded to the bank which deciphers its contents If, in addition, a message authentication code and a counter against replay attacks are used, the bank also checks and validates them prior to executing the money transfer (or refusing to do so) The bank could then send a ciphered message back to the SIM informing the subscriber of the successful (or not) execution of the payment This way end-to-end security between the SIM and a server in a bank can be realised without anybody in the information chain being able to eavesdrop or interfere with the information without this being noticed.