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Onagh, B.N.. (1403). Perfect 3-colorings of the line graphs of the connected bicubic graphs of order at most 12. فیزیولوژی و بیوتکنولوژی آبزیان, 12(2), 99-115. doi: 10.22124/jart.2024.24738.1537
B.N. Onagh. "Perfect 3-colorings of the line graphs of the connected bicubic graphs of order at most 12". فیزیولوژی و بیوتکنولوژی آبزیان, 12, 2, 1403, 99-115. doi: 10.22124/jart.2024.24738.1537
Onagh, B.N.. (1403). 'Perfect 3-colorings of the line graphs of the connected bicubic graphs of order at most 12', فیزیولوژی و بیوتکنولوژی آبزیان, 12(2), pp. 99-115. doi: 10.22124/jart.2024.24738.1537
Onagh, B.N.. Perfect 3-colorings of the line graphs of the connected bicubic graphs of order at most 12. فیزیولوژی و بیوتکنولوژی آبزیان, 1403; 12(2): 99-115. doi: 10.22124/jart.2024.24738.1537

Perfect 3-colorings of the line graphs of the connected bicubic graphs of order at most 12

Journal of Algebra and Related Topics
دوره 12، شماره 2، فروردین 2025، صفحه 99-115    اصل مقاله (670.24 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22124/jart.2024.24738.1537
نویسنده
B.N. Onagh*
Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran
چکیده
Let‎ ‎$G =(V_G‎ , ‎E_G)$‎ ‎be a graph and let $I$ be a finite set of size $m\geq 1$‎. ‎A mapping $T:V_G \rightarrow I$‎ ‎is called a perfect $m$-coloring with a parameter matrix $A = (a_{ij})_{i,j\in I }$‎ ‎of $G$ if it is surjective and for all $i,j$‎, ‎every vertex of color $i$ has $a_{i j}$ neighbors of color $j$‎. ‎In this paper‎, ‎we classify all the realizable parameter matrices of perfect 3-colorings of the line graphs of the connected bicubic graphs of order at most 12‎.
کلیدواژه‌ها
Perfect 3-coloring؛ Line graph؛ Bicubic graph
مراجع
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