On r-Dynamic Coloring of Neighborhood Corona of Path with Some graphs Article Swipe
V. Aparna
,
N. Mohanapriya
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1088/1742-6596/1543/1/012001
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1088/1742-6596/1543/1/012001
Consider the simple, finite, connected and undirected graph H = ( V, E ) in which V and E denotes the vertex set and edge set of the graph H . The r -dynamic coloring of a graph H is the proper p-coloring of the vertices of the graph H in which | c ( N ( a )| ≥ min{ r , d ( a )}, for each . The lowest p which allows H an r -dynamic coloring with p colors is called the r-dynamic chromatic number of the graph H and it is denoted as X r ( H ). Let H 1 and H 2 be two graphs with vertex disjoint sets of n 1 and n 2 vertices. The neighborhood corona of two graphs H 1 and H 2 is obtained by taking one copy of the graph H 1 and n 1 copies of the graph H 2 and by joining each neighbor of the i th vertex of H 1 to each and every vertex of the i th copy of H 2 . It is denoted as . In this paper, we determine the r -dynamic chromatic number of the neighborhood corona of path graph P m with path P n , complete graph K n , cycle C n and star graph K 1,n . These graphs are denoted as and respectively.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1088/1742-6596/1543/1/012001
- OA Status
- diamond
- Cited By
- 3
- References
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- OpenAlex ID
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https://openalex.org/W3028758653Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1088/1742-6596/1543/1/012001Digital Object Identifier
- Title
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On r-Dynamic Coloring of Neighborhood Corona of Path with Some graphsWork title
- Type
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articleOpenAlex work type
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enPrimary language
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2020Year of publication
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2020-05-01Full publication date if available
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V. Aparna, N. MohanapriyaList of authors in order
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https://doi.org/10.1088/1742-6596/1543/1/012001Publisher landing page
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YesWhether a free full text is available
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diamondOpen access status per OpenAlex
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https://doi.org/10.1088/1742-6596/1543/1/012001Direct OA link when available
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Combinatorics, Vertex (graph theory), Graph, Algorithm, MathematicsTop concepts (fields/topics) attached by OpenAlex
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3Total citation count in OpenAlex
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2023: 2, 2022: 1Per-year citation counts (last 5 years)
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