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Yıl 2025, Erken Görünüm, 1 - 9

Senyuan Su , Chunling Tong , Yuansheng Yang

https://doi.org/10.15672/hujms.1404223

Öz

Proje Numarası

Shandong Provincial Natural Science Foundation (No. ZR2020KF010)

Kaynakça

  • [1] M. Behzad, Graphs and their chromatic numbers, PhD thesis, Michigan State University, 1965

Total coloring of circulant graphs Cn(1, 4)

Yıl 2025, Erken Görünüm, 1 - 9

Senyuan Su , Chunling Tong , Yuansheng Yang

https://doi.org/10.15672/hujms.1404223

Öz

Total coloring of circulant graphs has attracted much attention in recent years. Studies on the total chromatic numbers of them, in particular 4-
regular circulant graphs, have thrown up a number of interesting results. However, as a challenging issue, the total chromatic numbers of 4-regular circulant
graphs Cn(1,4) remain an open question even after many efforts. In this paper, we solve this question by completely determining total chromatic numbers of Cn(1,4) for all n ≥ 9.

Anahtar Kelimeler

total chromatic number total coloring circulant graph

Proje Numarası

Shandong Provincial Natural Science Foundation (No. ZR2020KF010)

Teşekkür

We are grateful to Bojan Mohar for his helpful suggestion.

Kaynakça

  • [1] M. Behzad, Graphs and their chromatic numbers, PhD thesis, Michigan State University, 1965
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Kombinatorik ve Ayrık Matematik (Fiziksel Kombinatorik Hariç)
Bölüm Matematik
Yazarlar

Senyuan Su 0009-0008-2908-9180

Chunling Tong 0000-0002-8844-4823

Yuansheng Yang 0000-0003-4024-9030

Proje Numarası Shandong Provincial Natural Science Foundation (No. ZR2020KF010)
Erken Görünüm Tarihi 24 Haziran 2025
Yayımlanma Tarihi
Gönderilme Tarihi 28 Aralık 2023
Kabul Tarihi 23 Mart 2025
Yayımlandığı Sayı Yıl 2025 Erken Görünüm

Kaynak Göster

APA Su, S., Tong, C., & Yang, Y. (2025). Total coloring of circulant graphs Cn(1, 4). Hacettepe Journal of Mathematics and Statistics1-9. https://doi.org/10.15672/hujms.1404223
AMA Su S, Tong C, Yang Y. Total coloring of circulant graphs Cn(1, 4). Hacettepe Journal of Mathematics and Statistics. Published online 01 Haziran 2025:1-9. doi:10.15672/hujms.1404223
Chicago Su, Senyuan, Chunling Tong, ve Yuansheng Yang. “Total Coloring of Circulant Graphs Cn(1, 4)”. Hacettepe Journal of Mathematics and Statistics, Haziran (Haziran 2025), 1-9. https://doi.org/10.15672/hujms.1404223.
EndNote Su S, Tong C, Yang Y (01 Haziran 2025) Total coloring of circulant graphs Cn(1, 4). Hacettepe Journal of Mathematics and Statistics 1–9.
IEEE S. Su, C. Tong, ve Y. Yang, “Total coloring of circulant graphs Cn(1, 4)”, Hacettepe Journal of Mathematics and Statistics, ss. 1–9, Haziran 2025, doi: 10.15672/hujms.1404223.
ISNAD Su, Senyuan vd. “Total Coloring of Circulant Graphs Cn(1, 4)”. Hacettepe Journal of Mathematics and Statistics. Haziran 2025. 1-9. https://doi.org/10.15672/hujms.1404223.
JAMA Su S, Tong C, Yang Y. Total coloring of circulant graphs Cn(1, 4). Hacettepe Journal of Mathematics and Statistics. 2025;:1–9.
MLA Su, Senyuan vd. “Total Coloring of Circulant Graphs Cn(1, 4)”. Hacettepe Journal of Mathematics and Statistics, 2025, ss. 1-9, doi:10.15672/hujms.1404223.
Vancouver Su S, Tong C, Yang Y. Total coloring of circulant graphs Cn(1, 4). Hacettepe Journal of Mathematics and Statistics. 2025:1-9.

For more information about the journal, please visit: https://dergipark.org.tr/en/pub/hujms