Optimal secret share distribution in degree splitting communication networks Article Swipe
Raúl Manuel Falcón Ganfornina
,
Venkitachalam Aparna
,
N. Mohanapriya
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.3934/nhm.2023075
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.3934/nhm.2023075
Dynamic coloring has recently emerged as a valuable tool to optimize cryptographic protocols based on secret sharing, which enforce data security in communication networks and have significant importance in both online storage and cloud computing. This type of graph labeling enables the dealer to distribute secret shares among the nodes of a communication network so that everybody can recover the secret after a minimum number of rounds of communication. This paper delves into this topic by dealing with the dynamic coloring problem for degree splitting graphs. The topological structure of the latter enables the dealer to avoid dishonesty by adding control nodes that supervise all those participants with a similar influence in the network. More precisely, we solve the dynamic coloring problem for degree splitting graphs of any regular graph. The irregular case is partially solved by establishing a lower bound for the corresponding dynamic chromatic number. As illustrative examples, we solve the dynamic coloring problem for the degree splitting graphs of cycles, cocktail, book, comb, fan, jellyfish, windmill and barbell graphs.
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Optimal secret share distribution in degree splitting communication networksWork title
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articleOpenAlex work type
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enPrimary language
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2023Year of publication
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2023-01-01Full publication date if available
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Raúl Manuel Falcón Ganfornina, Venkitachalam Aparna, N. MohanapriyaList of authors in order
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https://doi.org/10.3934/nhm.2023075Publisher landing page
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Degree (music), Computer science, Degree distribution, Graph coloring, Cryptography, Graph, Secret sharing, Upper and lower bounds, Theoretical computer science, Mathematics, Computer security, Complex network, Mathematical analysis, Acoustics, Physics, World Wide WebTop concepts (fields/topics) attached by OpenAlex
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| abstract_inverted_index.dealer | 42, 94 |
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| abstract_inverted_index.graphs | 125, 160 |
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| abstract_inverted_index.control | 100 |
| abstract_inverted_index.cycles, | 162 |
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| abstract_inverted_index.dynamic | 79, 119, 144, 153 |
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| abstract_inverted_index.network. | 113 |
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| abstract_inverted_index.<abstract><p>Dynamic | 0 |
| abstract_inverted_index.graphs.</p></abstract> | 171 |
| cited_by_percentile_year | |
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| institutions_distinct_count | 3 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/9 |
| sustainable_development_goals[0].score | 0.5400000214576721 |
| sustainable_development_goals[0].display_name | Industry, innovation and infrastructure |
| citation_normalized_percentile.value | 0.23922468 |
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| citation_normalized_percentile.is_in_top_10_percent | False |