DocumentCode
3296976
Title
Representations of Borel Cayley graphs
Author
Tang, K. Wendy ; Arden, Bruce W.
Author_Institution
Dept. of Electr. Eng., State Univ. of New York, Stony Brook, NY, USA
fYear
1992
fDate
19-21 Oct 1992
Firstpage
194
Lastpage
201
Abstract
It is shown that all degree-4 Borel Cayley graphs can also be represented by more restrictive chordal rings (CRs) through a constructive proof. All bidirectional, degree-4 Borel Cayley graphs have the more restrictive CR representations, and hence Hamiltonian cycles always exist for these graphs. A step-by-step algorithm to transform any degree-4 Borel Cayley graph into CR graphs is provided. Examples are used to illustrate this concept
Keywords
multiprocessor interconnection networks; parallel algorithms; Borel Cayley graphs; Hamiltonian cycles; restrictive chordal rings; step-by-step algorithm; Chromium; Concurrent computing; Delay; Joining processes; Routing; Sufficient conditions; Topology;
fLanguage
English
Publisher
ieee
Conference_Titel
Frontiers of Massively Parallel Computation, 1992., Fourth Symposium on the
Conference_Location
McLean, VA
Print_ISBN
0-8186-2772-7
Type
conf
DOI
10.1109/FMPC.1992.234888
Filename
234888
Link To Document