Genus of Zero-divisor Graphs

David F. Anderson (), T. Asir (), Ayman Badawi () and T. Tamizh Chelvam ()
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David F. Anderson: University of Tennessee, Department of Mathematics
T. Asir: Madurai Kamaraj University, Department of Mathematics
Ayman Badawi: American University of Sharjah, Department of Mathematics, Nab 262
T. Tamizh Chelvam: Manonmaniam Sundaranar University, Department of Mathematics

Chapter Chapter 4 in Graphs from Rings, 2021, pp 127-172 from Springer

Abstract: Abstract In this chapter, we study topological concepts like the genus of zero-divisor graphs. The prime objective of topological graph theory is to draw a graph on a surface so that no two edges cross, an intuitive geometric problem that can be enriched by specifying symmetries or combinatorial side-conditions. Graphs on surfaces form a natural link between discrete and continuous mathematics.

Date: 2021
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DOI: 10.1007/978-3-030-88410-9_4

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