Neighborhood Balanced Colorings of Graphs

被引:0
|
作者
Freyberg, Bryan [1 ]
Marr, Alison [2 ]
机构
[1] Combinator NPO, Opava, Czech Republic
[2] Southwestern Univ, 1001 E Univ Ave, Georgetown, TX 78626 USA
关键词
Vertex coloring; Red-blue coloring; Cordial labeling;
D O I
10.1007/s00373-024-02766-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given a simple graph G, we ask when V(G) may be partitioned into two sets such that every vertex has an equal number of neighbors from each set. We establish a number of results for common families of graphs and completely classify 4-regular circulants which posses this property.
引用
收藏
页数:13
相关论文
共 50 条
  • [1] Neighborhood Balanced Colorings of Graphs
    Bryan Freyberg
    Alison Marr
    Graphs and Combinatorics, 2024, 40
  • [2] Balanced Colorings of Graphs Solution
    Schmeichel, Edward
    AMERICAN MATHEMATICAL MONTHLY, 2023, 130 (05): : 488 - 489
  • [3] Balanced Colorings of Graphs Proposal
    Kale, Samina Boxwala
    Chvatal, Vasek
    Knuth, Donald E.
    West, Douglas B.
    AMERICAN MATHEMATICAL MONTHLY, 2023, 130 (05): : 488 - 489
  • [4] Split and balanced colorings of complete graphs
    Erdos, P
    Gyárfás, A
    DISCRETE MATHEMATICS, 1999, 200 (1-3) : 79 - 86
  • [5] Equitable colorings of Cartesian products with balanced complete multipartite graphs
    Yan, Zhidan
    Wang, Wei
    Zhang, Xin
    DISCRETE APPLIED MATHEMATICS, 2015, 180 : 200 - 203
  • [6] Semi-Balanced Colorings of Graphs: Generalized 2-Colorings Based on a Relaxed Discrepancy Condition
    Jesper Jansson
    Takeshi Tokuyama
    Graphs and Combinatorics, 2004, 20 : 205 - 222
  • [7] Semi-balanced colorings of graphs: Generalized 2-colorings based on a relaxed discrepancy condition
    Jansson, J
    Tokuyama, T
    GRAPHS AND COMBINATORICS, 2004, 20 (02) : 205 - 222
  • [8] Neighborhood conditions for balanced independent sets in bipartite graphs
    Amar, D
    Brandt, S
    Brito, D
    Ordaz, O
    DISCRETE MATHEMATICS, 1998, 181 (1-3) : 31 - 36
  • [9] A SHORT NOTE ON OPEN-NEIGHBORHOOD CONFLICT-FREE COLORINGS OF GRAPHS
    Huang, Fei
    Guo, Shanshan
    Yuan, Jinjiang
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2020, 34 (03) : 2009 - 2015
  • [10] On balanced colorings of hypergraphs
    Rozovskaya A.P.
    Titova M.V.
    Shabanov D.A.
    Journal of Mathematical Sciences, 2010, 169 (5) : 654 - 670