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：
ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS | 2024年 / 41卷 / 05期
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
  • [21] The total graph of a finite commutative ring
    Ramin, Ali
    TURKISH JOURNAL OF MATHEMATICS, 2013, 37 (03) : 391 - 397
  • [22] On the genus and crosscap two coannihilator graph of commutative rings
    Nazim, Mohd
    Mir, Shabir Ahmad
    Rehman, Nadeem Ur
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (06):
  • [23] The total graph of a commutative ring with respect to multiplication
    Ashraf, Mohammad
    Asalool, Jaber Hussain
    Kumar, Mohit
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (49): : 182 - 195
  • [24] Some results on the total graph of a commutative ring
    Sharma, Pravesh
    Dutta, Sanghita
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (48): : 1133 - 1146
  • [25] Some results on the total graph of a commutative ring
    Sharma, Pravesh
    Dutta, Sanghita
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, (48): : 1133 - 1146
  • [26] ON THE TOTAL GRAPH AND ITS COMPLEMENT OF A COMMUTATIVE RING
    Asir, T.
    Chelvam, T. Tamizh
    COMMUNICATIONS IN ALGEBRA, 2013, 41 (10) : 3820 - 3835
  • [27] THE INTERSECTION GRAPH OF GAMMA SETS IN THE TOTAL GRAPH OF A COMMUTATIVE RING-II
    Asir, T.
    Chelvam, T. Tamizh
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2013, 12 (04)
  • [28] On the Toughness of the Total Graph of a graph
    Nihei, M
    ARS COMBINATORIA, 2001, 61 : 161 - 165
  • [29] Total graph of a signed graph
    Belardo, Francesco
    Stanic, Zoran
    Zaslavsky, Thomas
    ARS MATHEMATICA CONTEMPORANEA, 2023, 23 (01)
  • [30] THE JACOBSON GRAPH OF COMMUTATIVE RINGS
    Azimi, A.
    Erfanian, A.
    Farrokhi, M. D. G.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2013, 12 (03)
12345