BOOK THICKNESS OF TOTAL GRAPH, UNIT GRAPH AND DOUBLE TOTAL GRAPH OF COMMUTATIVE RINGS WITH GENUS AT MOST 2

被引:0
|
作者
Singh, Ngangom Rojitkumar [1 ]
Dutta, Sanghita [1 ]
机构
[1] North Eastern Hill Univ, Dept Math, PO 793022, Shillong, Meghalaya, India
来源
关键词
fusible ring; unit graph; total graph; double total graph;
D O I
10.17654/0974165824028
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we determine the book thickness of planar and toroidal total graph, unit graph and double total graph of a finite commutative ring R with genus at most 2.
引用
收藏
页码:411 / 427
页数:17
相关论文
共 50 条
  • [41] The Metric Dimension of the Total Graph of a Finite Commutative Ring
    Dolzan, David
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2016, 59 (04): : 748 - 759
  • [42] The total zero-divisor graph of a commutative ring
    Duric, Alen
    Jevdenic, Sara
    Oblak, Polona
    Stopar, Nik
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2019, 18 (10)
  • [43] MINIMUM FLOWS IN THE TOTAL GRAPH OF A FINITE COMMUTATIVE RING
    Sander, T.
    Nazzal, K.
    TRANSACTIONS ON COMBINATORICS, 2014, 3 (03) : 11 - 20
  • [44] WHEN A TOTAL GRAPH ASSOCIATED WITH A COMMUTATIVE RING IS PERFECT?
    Jalali, Mitra
    Nikandish, Reza
    Tehranian, Abolfazl
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2020, 107 (121): : 85 - 92
  • [45] ON THE TOTAL GRAPH OF A COMMUTATIVE RING WITHOUT THE ZERO ELEMENT
    Anderson, David F.
    Badawi, Ayman
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2012, 11 (04)
  • [46] THE TOTAL GRAPH OF A COMMUTATIVE RING WITH RESPECT TO PROPER IDEALS
    Abbasi, Ahmad
    Habibi, Shokoofe
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (01) : 85 - 98
  • [47] On the metric dimension of the total graph of a graph
    Sooryanarayana, B.
    Shreedhar, K.
    Narahari, N.
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2016, 22 (04) : 82 - 95
  • [48] A CRITERION FOR PLANARITY OF TOTAL GRAPH OF A GRAPH
    BEHZAD, M
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1967, 63 : 679 - &
  • [49] On the Intersection Graph of Ideals of Commutative Rings
    Nikmehr, M. J.
    Nikandish, R.
    UTILITAS MATHEMATICA, 2017, 104 : 307 - 314
  • [50] ON THE GRAPH OF MODULES OVER COMMUTATIVE RINGS
    Ansari-Toroghy, H.
    Habibi, S. H.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2016, 46 (03) : 729 - 747