A combinatorial algorithm to optimally colour the edges of the graphs that are join of regular graphs

被引:0
|
作者
De Simone, Caterina [1 ]
Galluccio, Anna [1 ]
机构
[1] CNR, Ist Anal Sistemi & Informat, I-00185 Rome, Italy
来源
COMBINATORIAL OPTIMIZATION AND APPLICATIONS, PROCEEDINGS | 2008年 / 5165卷
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We prove that the edges of every even graph G = G(1) + G(2) that is the join of two regular graphs G(i) = (V(i), E(i)) can be coloured with Delta(G) colours, whenever Delta(G) = Delta(G(2)) + vertical bar V(G(1))vertical bar. The proof of this result yields a combinatorial algorithm to optimally colour the edges of this type of graphs.
引用
收藏
页码:351 / 360
页数:10
相关论文
共 50 条
  • [31] Enumeration for spanning trees and forests of join graphs based on the combinatorial decomposition
    Sik, Sung U.
    ELECTRONIC JOURNAL OF GRAPH THEORY AND APPLICATIONS, 2016, 4 (02) : 171 - 177
  • [32] A simple combinatorial algorithm for restricted 2-matchings in subcubic graphs - via half-edges
    Paluch, Katarzyna
    Wasylkiewicz, Mateusz
    INFORMATION PROCESSING LETTERS, 2021, 171 (171)
  • [33] The thickness of the complete multipartite graphs and the join of graphs
    Yichao Chen
    Yan Yang
    Journal of Combinatorial Optimization, 2017, 34 : 194 - 202
  • [34] On the minimum rank of the join of graphs and decomposable graphs
    Barioli, Francesco
    Fallat, Shaun
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 421 (2-3) : 252 - 263
  • [35] Hamiltonicity of token graphs of some join graphs
    Adame, Luis Enrique
    Rivera, Luis Manuel
    Trujillo-Negrete, Ana Laura
    arXiv, 2021,
  • [36] Hamiltonicity of Token Graphs of Some Join Graphs
    Adame, Luis Enrique
    Rivera, Luis Manuel
    Trujillo-Negrete, Ana Laura
    SYMMETRY-BASEL, 2021, 13 (06):
  • [37] (Signless) Laplacian Borderenergetic Graphs and the Join of Graphs
    Deng, Bo
    Li, Xueliang
    Li, Yalan
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2018, 80 (02) : 449 - 457
  • [38] The thickness of the complete multipartite graphs and the join of graphs
    Chen, Yichao
    Yang, Yan
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2017, 34 (01) : 194 - 202
  • [39] On the existence of graphs which can colour every regular graph
    Mazzuoccolo, Giuseppe
    Tabarelli, Gloria
    Zerafa, Jean Paul
    DISCRETE APPLIED MATHEMATICS, 2023, 337 : 246 - 256
  • [40] The join of split graphs whose completely regular endomorphisms form a monoid
    Hou, Hailong
    Song, Yanhua
    Gu, Rui
    OPEN MATHEMATICS, 2017, 15 : 833 - 839