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Neighbor sum distinguishing total chromatic number of planar graphs
Applied Mathematics and Computation, 2018Let G = (V(G), E(G)) be a graph and ϕ be a proper k-total coloring of G. Set fϕ(v)=∑uv∈E(G)ϕ(uv)+ϕ(v), for each v ∈ V(G). If fϕ(u) ≠ fϕ(v) for each edge uv ∈ E(G), the coloring ϕ is called a k-neighbor sum distinguishing total coloring of G. The smallest
Changqing Xu, Jianguo Li, Shan Ge
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k-tuple total dominator chromatic number and Mycielskian graphs
Georgian Mathematical JournalThe k-tuple total dominator chromatic number is a graph parameter that measures the minimum number of colors required for a proper coloring, where each vertex must be adjacent to every vertex of k distinct color classes. In this paper, we investigate the
Walid Marweni
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International Journal of Computer Mathematics Computer Systems Theory
Graph coloring is a core concept in graph theory, which has an extensive application in the field of computer science and engineering. Graph elements can be colored based on constraints like degree, adjacency or distance; geo coloring uses the concept of
V. Ponsathya +4 more
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Graph coloring is a core concept in graph theory, which has an extensive application in the field of computer science and engineering. Graph elements can be colored based on constraints like degree, adjacency or distance; geo coloring uses the concept of
V. Ponsathya +4 more
semanticscholar +1 more source
Results about the total chromatic number and the conformability of some families of circulant graphs
Discrete Applied Mathematics, 2023L. Faria +3 more
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Total chromatic number for certain classes of product graphs
Discret. Math. Algorithms Appl., 2023T. Sandhiya, J. Geetha, K. Somasundaram
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Total chromatic number of S-valued graphs
RECENT TRENDS IN SCIENCE AND ENGINEERING, 2022A. Devi +2 more
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On total chromatic number of complete multipartite graphs
Discrete Applied MathematicsAseem Dalal, B. S. Panda
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The Total Chromatic Number of Fullerene Molecular Graphs
Matemática ContemporâneaMariana Martins +2 more
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New bounds for chromatic polynomials and chromatic roots
Discrete Mathematics, 2015Aysel Erey, Jason Brown
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