Incidence semirings of graphs and visible bases Abawajy,J, Kelarev,AV, Miller,M and Ryan,J 2014, Incidence semirings of graphs and visible bases, Bulletin of the Australian mathematical society, vol. 89, no. 3, pp. 451-459, doi: 10.1017/S000497271300083X. Attached Files Name Description MIMEType Size Downloads Title Incidence semirings of graphs and visible bases Author(s) Abawajy,J orcid.org/0000-0001-8962-1222 Kelarev,AV Miller,M Ryan,J Journal name Bulletin of the Australian mathematical society Volume number 89 Issue number 3 Start page 451 End page 459 Publisher Cambridge University Press Place of publication Cambridge, England Publication date 2014 ISSN 0004-9727 1755-1633 Keyword(s) Balanced graphs Incidence semirings Right ideals Science & Technology Physical Sciences Mathematics CLASSIFICATION RINGS Summary We consider the incidence semirings of graphs and prove that every incidence semiring has convenient visible bases for its right ideals and for its left ideals, and that these visible bases can be used to determine the weights of all right ideals that have maximum weight and all left ideals that have maximum weight. ©2013 Australian Mathematical Publishing Association Inc.. Language eng DOI 10.1017/S000497271300083X Field of Research 080501 Distributed and Grid Systems Socio Economic Objective 890199 Communication Networks and Services not elsewhere classified HERDC Research category C1 Refereed article in a scholarly journal ERA Research output type C Journal article Copyright notice ©2014, Cambridge University Press Free to Read? Yes Persistent URL http://hdl.handle.net/10536/DRO/DU:30069174 Document type: Journal Article Collections: Faculty of Science, Engineering and Built Environment School of Information Technology Open Access Collection Related Links Link Description Link to full-text (open access)   Connect to Elements publication management system Go to link with your DU access privileges   Connect to published version Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au. Versions Version Filter Type Wed, 21 Jan 2015, 13:40:04 EST Wed, 21 Jan 2015, 13:41:30 EST Wed, 21 Jan 2015, 14:22:00 EST Wed, 21 Jan 2015, 14:30:18 EST Thu, 22 Jan 2015, 09:54:36 EST Sat, 09 Nov 2019, 17:40:04 EST Sun, 13 Mar 2022, 02:37:12 EST Sat, 16 Apr 2022, 18:35:40 EST Filtered Full Citation counts:   Cited 4 times in TR Web of Science Cited 1 times in Scopus Search Google Scholar Access Statistics: 616 Abstract Views, 2 File Downloads  -  Detailed Statistics Created: Wed, 21 Jan 2015, 13:41:30 EST