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Using equality in the Krein conditions to prove nonexistence of certain distance-regular graphsCoolsaet, Kris ; Jurišić, AleksandarDokažemo, da razdaljno-regularni grafi s presečnim zaporedjem ▫$\{74,54,15;1,9,60\}$▫ in ▫$${4r^3+8r^2+6r+1, 2r(r+1)(2r+1), 2r^2+2r+1; 1, 2r(r+1), (2r+1)(2r^2+2r+1)}$$▫, kjer je ▫$r$▫ poljubno ... naravno število, ne obstajajo. Oba primera služita kot ilustracija za tehniko, ki nam pomaga določiti strukturne lastnosti razdaljno-regularnih grafov in asociativnih shem z dovolj velikim številom ničelnih Kreinovih parametrov.Source: Journal of combinatorial theory. Series A. - ISSN 0097-3165 (Vol. 115, iss. 6, 2008, str. 1086-1095)Type of material - article, component partPublish date - 2008Language - englishCOBISS.SI-ID - 15264601
Author
Coolsaet, Kris |
Jurišić, Aleksandar
Topics
matematika |
teorija grafov |
Kreinovi parametri |
asociativne sheme |
razdaljno-regularni grafi |
lokalna krepka-regularnost |
trojna presečna števila |
mathematics |
graph theory |
Krein parameters |
association scheme |
distance-regular graphs |
strongly regular graph |
triple intersection numbers
source: Journal of combinatorial theory. Series A. - ISSN 0097-3165 (Vol. 115, iss. 6, 2008, str. 1086-1095)
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Coolsaet, Kris | |
Jurišić, Aleksandar | 08724 |
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