Communication in Chordal Ring Networks
The chordal ring networks have been the objects of a great deal of attention in recent years, and several parallel computers have configurations based on the chordal ring topology. Common ways to improve the network performance are to increase its connectivity and decrease its diameter. Therefore...
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2006
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my-upm-ir.1532013-05-27T06:46:02Z Communication in Chordal Ring Networks 2006-04 Matroud, Atheer Abbas The chordal ring networks have been the objects of a great deal of attention in recent years, and several parallel computers have configurations based on the chordal ring topology. Common ways to improve the network performance are to increase its connectivity and decrease its diameter. Therefore, this thesis addresses the fundamental problems of communication in chordal ring of high degree and studies the degree diameter problem in such topology. In particular, we concentrate on Compact Routing, a family of routing methods that minimizes the space and time complexity. An effecient boolean routing scheme that has O(1) time complexity and O(log n) space complexity is introduced. Based on the existing results in [61] done by Narayanan and Opatrny, we propose a new algorithm for some families of chordal ring of degree six graphs. New properties for this families of graphs have been introduced such as finding the maximum number of nodes for a given diameter; it has been found that the chordal ring that has the maximum number of nodes for diameter k is G(4k2 + 2k + 1; 2k + 1; 2k2). Moreover, a broadcasting scheme for this family of chordal rings of degree six has been constructed. It has been found that this scheme can broadcast the message to all nodes in the graph by time at most k + 3 where k is the diameter. The uniqueness property of the shortest path type between any two nodes in chordal rings of degree four and six has been introduced, this property helps us in deriving our results. Communication of technical information 2006-04 Thesis http://psasir.upm.edu.my/id/eprint/153/ http://psasir.upm.edu.my/id/eprint/153/2/549006_fsktm_2006_4_abstrak_je__dh_pdf_.pdf application/pdf en public phd doctoral Universiti Putra Malaysia Communication of technical information Faculty of Computer Science and Information Technology English |
| institution |
Universiti Putra Malaysia |
| collection |
PSAS Institutional Repository |
| language |
English English |
| topic |
Communication of technical information |
| spellingShingle |
Communication of technical information Matroud, Atheer Abbas Communication in Chordal Ring Networks |
| description |
The chordal ring networks have been the objects of a great deal of attention in recent
years, and several parallel computers have configurations based on the chordal ring
topology. Common ways to improve the network performance are to increase its connectivity
and decrease its diameter. Therefore, this thesis addresses the fundamental
problems of communication in chordal ring of high degree and studies the degree
diameter problem in such topology. In particular, we concentrate on Compact Routing,
a family of routing methods that minimizes the space and time complexity. An
effecient boolean routing scheme that has O(1) time complexity and O(log n) space
complexity is introduced. Based on the existing results in [61] done by Narayanan
and Opatrny, we propose a new algorithm for some families of chordal ring of degree
six graphs. New properties for this families of graphs have been introduced such as finding the maximum number of nodes for a given diameter; it has been
found that the chordal ring that has the maximum number of nodes for diameter k
is G(4k2 + 2k + 1; 2k + 1; 2k2). Moreover, a broadcasting scheme for this family of
chordal rings of degree six has been constructed. It has been found that this scheme
can broadcast the message to all nodes in the graph by time at most k + 3 where k
is the diameter. The uniqueness property of the shortest path type between any two
nodes in chordal rings of degree four and six has been introduced, this property helps
us in deriving our results. |
| format |
Thesis |
| qualification_name |
Doctor of Philosophy (PhD.) |
| qualification_level |
Doctorate |
| author |
Matroud, Atheer Abbas |
| author_facet |
Matroud, Atheer Abbas |
| author_sort |
Matroud, Atheer Abbas |
| title |
Communication in Chordal Ring Networks |
| title_short |
Communication in Chordal Ring Networks |
| title_full |
Communication in Chordal Ring Networks |
| title_fullStr |
Communication in Chordal Ring Networks |
| title_full_unstemmed |
Communication in Chordal Ring Networks |
| title_sort |
communication in chordal ring networks |
| granting_institution |
Universiti Putra Malaysia |
| granting_department |
Faculty of Computer Science and Information Technology |
| publishDate |
2006 |
| url |
http://psasir.upm.edu.my/id/eprint/153/2/549006_fsktm_2006_4_abstrak_je__dh_pdf_.pdf |
| _version_ |
1747810148367204352 |