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- W4287959418 abstract "For a [Formula: see text]-regular graph [Formula: see text], an edge-signing [Formula: see text] is called a good signing if the absolute eigenvalues of its adjacency matrix are at most [Formula: see text]. Bilu and Linial conjectured that for each regular graph there exists a good signing. In this paper, by using the concept of “Equitable Partition”, we prove the conjecture for some cases. We show how to find out a good signing for special complete graphs and lexicographic product of two graphs. In particular, if there exist two good signings for graph [Formula: see text], then we can find a good signing for a 2-lift of [Formula: see text]." @default.
- W4287959418 created "2022-07-26" @default.
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- W4287959418 date "2022-08-11" @default.
- W4287959418 modified "2023-10-18" @default.
- W4287959418 title "Equitable partition for some Ramanujan graphs" @default.
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- W4287959418 doi "https://doi.org/10.1142/s1793830922501294" @default.
- W4287959418 hasPublicationYear "2022" @default.
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