| Title: | Adjacent vertex distinguishing total coloring of corona product of graphs |
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| Authors: | ID Furmańczyk, Hanna (Author)
ID Zuazua, Rita (Author) |
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| Files: |  AMC_Furmańczyk,Zuazua_2025.pdf (367,69 KB)
MD5: 6662F7D0742567BEB283500E7BD13C58
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | An adjacent vertex distinguishing total k-coloring f of a graph G is a proper total k-coloring of G such that no pair of adjacent vertices has the same color sets, where the color set at a vertex v, C_f^G(v), is {f(v)} ∪ {f(vu)|u ∈ V(G), vu ∈ E(G)}. In 2005 Zhang et al. posted the conjecture (AVDTCC) that every simple graph G has adjacent vertex distinguishing total (Δ(G) + 3)-coloring. In this paper we confirm the conjecture for many types of coronas, in particular for generalized, simple and l-coronas of graphs, not relating the results to particular graph classes of the factors. |
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| Keywords: | corona graph, l-corona, generalized corona graph, adjacent vertex distinguishing total coloring, AVDTC Conjecture |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 21.03.2025 |
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| Publisher: | Založba Univerze na Primorskem |
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| Year of publishing: | 2025 |
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| Number of pages: | 15 str. |
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| Numbering: | Vol. 25, no. 2, [article no.] P2.08 |
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| PID: | 20.500.12556/RUP-21993  |
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| UDC: | 51 |
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| eISSN: | 1855-3974 |
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| DOI: | https://doi.org/10.26493/1855-3974.3231.f5e |
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| Publication date in RUP: | 21.10.2025 |
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| Views: | 290 |
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| Downloads: | 1 |
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