%0 Journal Article
%T Perfect 4-Colorings of the 3-Regular Graphs of Order 10
%J Global Analysis and Discrete Mathematics
%I Damghan University
%Z 2476-5341
%A Vahedi, Zeinab
%A Maghasedi, Mohammad
%A Alaeiyan, Mehdi
%D 2021
%\ 08/01/2021
%V 6
%N 1
%P 131-142
%! Perfect 4-Colorings of the 3-Regular Graphs of Order 10
%K Perfect coloring
%K Parameter matrices
%K Cubic graph
%K Equitable partition
%R 10.22128/gadm.2021.439.1048
%X The perfect m-coloring with matrix A = [aij ]i,j∈{1,...,m} of a graph G = (V, E) with {1, . . . , m} color is a vertices coloring of G with m-color so that number of vertex in color j adjacent to a fixed vertex in color i is aij , independent of the choice of vertex in color i. The matrix A = [aij ]i,j∈{1,...,m} is called the parameter matrix.We study the perfect 4-colorings of the 3-regular graphs of order 10, that is, we determine a list of all color parameter matrices corresponding to perfect colorings of 3-regular graphs of order 10.
%U https://gadm.du.ac.ir/article_210_611fc6cb4f723872135a7b02c25d70ee.pdf