Block-Graceful Designs

In this article, we adapt the edge-graceful graph labeling definition into block designs and define a block design V,B with V=v and B=b as block-graceful if there exists a bijection f:B⟶1,2,…,b such that the induced mapping f+:V⟶Zv given by f+x=∑x∈AA∈BfAmod v is a bijection. A quick observation show...

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Bibliographic Details
Main Authors: Dilara Erdemir, Emre Kolotoğlu
Format: Article
Language:English
Published: Hindawi Limited 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/4959576