What does this research mean for the field?

Tight lower and upper bounds for the locating-chromatic number of bipartite graphs can be established using neighborhood equivalence classes, with exact values determinable for specific corona products. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To establish general lower and upper bounds for the locating-chromatic number of bipartite graphs and determine exact values for specific bipartite corona products.

August 23, 2026Baghdad Science JournalOpen Access

Locating-Chromatic Number of Bipartite Graphs

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To establish general lower and upper bounds for the locating-chromatic number of bipartite graphs and determine exact values for specific bipartite corona products.
Analyzed distinguishable color codes using neighborhood equivalence classes across the two partite sets.
Evaluated corona products formed between regular complete bipartite graphs and complements of complete graphs across various numbers of attached vertices.
Established tight lower and upper bounds on the locating-chromatic number of bipartite graphs, identifying regular complete bipartite graphs as extremal examples.
Derived exact locating-chromatic values for all tested corona product configurations, characterizing how pendant vertex arrangements govern coloring requirements.

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Implication

Mathematical analysis reveals tight bounds and exact locating-chromatic numbers for bipartite graphs, highlighting the impact of structural symmetries on vertex identification.

Cite This Study

Syofyan et al. (2026) studied this question.

synapsesocial.com/papers/6a8aae337677a3411444702d https://doi.org/10.21123/2411-7986.5383

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Implication

Mathematical analysis reveals tight bounds and exact locating-chromatic numbers for bipartite graphs, highlighting the impact of structural symmetries on vertex identification.

Locating-Chromatic Number of Bipartite Graphs

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Discussion

Implication

Cite This Study

Locating-Chromatic Number of Bipartite Graphs

Key Points

Discussion

Implication

Cite This Study

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