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- W3099444098 abstract "Let G be a simple graph and let G denote its complement. A graph G is said to be integral if its spectrum contains integral values. If aKa;b is integral with a > 1 and a > b, where mG denotes the m-fold union of the graph G, we show that it belongs to the class of integral graphs ðknt þ 1ÞK1⁄2kn2s2þkmnstþms z s ; 1⁄2kmtþkmnstþms z s ; where (i) ðkns þ kmnst þ ms; kmt þ kmnst þ msÞ 1⁄4 s such that ðm; sÞ 1⁄4 1 and ðs; sÞ 1⁄4 1; (ii) k;m; n; s; t; z 2 N such that ðk;mÞ 1⁄4 1, ðk; sÞ 1⁄4 1, ðm; nÞ 1⁄4 1, ðm; sÞ 1⁄4 1, ðn; tÞ 1⁄4 1 and ðs; tÞ 1⁄4 1; and (iii) ns > mt." @default.
- W3099444098 created "2020-11-23" @default.
- W3099444098 creator A5040726500 @default.
- W3099444098 date "2003-01-01" @default.
- W3099444098 modified "2023-09-27" @default.
- W3099444098 title "On Integral Graphs Which Belong to the Class aKa;b" @default.
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