note on odd facial total-coloring of cacti (Short Note)

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Czap Julius

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Journal Paper

Paper Information

Journal: COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION Year:2023 | Volume:8 | Issue:3 Page(s): 589-594

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Information Journal Paper

Title

note on odd facial total-coloring of cacti (Short Note)

Author(s)

Czap Julius | Issue Writer Certificate

Keywords

Facial coloring

Odd facial coloring

Plane graph

Abstract

A facial total-coloring of a Plane graph G is a coloring of the vertices and edges such that no facially adjacent edges, no adjacent vertices, and no edge and its endvertices are assigned the same color. A facial total-coloring of G is odd if for every face f and every color c, either no element or an odd number of elements incident with f is colored by c. In this note we prove that every cactus forest with an outerplane embedding admits an odd facial total-coloring with at most 16 colors. Moreover, this bound is tight.

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APA: Copy

Czap, Julius. (2023). note on odd facial total-coloring of cacti (Short Note). COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 8(3), 589-594. SID. https://sid.ir/paper/1057907/en

Vancouver: Copy

Czap Julius. note on odd facial total-coloring of cacti (Short Note). COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION[Internet]. 2023;8(3):589-594. Available from: https://sid.ir/paper/1057907/en

IEEE: Copy

Julius Czap, “note on odd facial total-coloring of cacti (Short Note),” COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, vol. 8, no. 3, pp. 589–594, 2023, [Online]. Available: https://sid.ir/paper/1057907/en

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