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              <text>On the Non-Inverse Graph of a Group</text>
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              <text>inverse graph; non-inverse graph</text>
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              <text>Let (G, ?) be a finite group and S = {u G|u u-1}, then the inverse graph is defined as a graph whose vertices coincide with G such that two distinct vertices u and v are adjacent if and only if either u ? v S or v ? u S. In this paper, we introduce a modified version of the inverse graph, called i?-graph associated with a group G. The i?-graph is a simple graph with vertex set consisting of elements of G and two vertices x, y ? are adjacent if x and y are not inverses of each other. We study certain properties and characteristics of this graph. Some parameters of the i?-graph are also determined.   2022 Javeria Amreen et al., published by Sciendo.</text>
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              <text>Amreen J.; Naduvath S.</text>
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              <text>Discussiones Mathematicae - General Algebra and Applications, Vol-42, No. 2, pp. 315-325.</text>
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              <text>2022-01-01</text>
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              <text>&lt;a href="https://doi.org/10.7151/dmgaa.1392" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.7151/dmgaa.1392&lt;/a&gt;
&lt;br /&gt;&lt;br /&gt;&lt;a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85141739981&amp;amp;doi=10.7151%2Fdmgaa.1392&amp;amp;partnerID=40&amp;amp;md5=6e1e4dba79032cae85425da1fd9265ef" target="_blank" rel="noreferrer noopener"&gt;https://www.scopus.com/inward/record.uri?eid=2-s2.0-85141739981&amp;amp;doi=10.7151%2fdmgaa.1392&amp;amp;partnerID=40&amp;amp;md5=6e1e4dba79032cae85425da1fd9265ef&lt;/a&gt;</text>
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              <text>All Open Access; Gold Open Access</text>
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              <text>ISSN: 15099415</text>
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              <text>Amreen J., Department of Mathematics, CHRIST (Deemed to Be University), Bangalore, 560029, India; Naduvath S., Department of Mathematics, CHRIST (Deemed to Be University), Bangalore, 560029, India</text>
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