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              <text>On L? (2, 1)-Edge Coloring Number of Regular Grids</text>
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              <text>critical graph; hexagonal and triangular grids; L? (2,1) edge coloring number; rectangular</text>
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              <text>In this paper, we study multi-level distance edge labeling for infinite rectangular, hexagonal and triangular grids. We label the edges with non-negative integers. If the edges are adjacent, then their color difference is at least 2 and if they are separated by exactly a single edge, then their colors must be distinct. We find the edge coloring number of these grids to be 9, 7 and 16, respectively so that we could color the edges of a rectangular, hexagonal and triangular grid with at most 10, 8 and 17 colors, respectively using this coloring technique. Repeating the sequence pattern for different grids, we can color the edges of a grid of larger size.  2019 D. Deepthy et al.</text>
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              <text>Deepthy D.; Kureethara J.V.</text>
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              <text>Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, Vol-27, No. 3, pp. 65-81.</text>
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              <text>2019-01-01</text>
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              <text>&lt;a href="https://doi.org/10.2478/auom-2019-0034" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.2478/auom-2019-0034&lt;/a&gt;
&lt;br /&gt;&lt;br /&gt;&lt;a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85078161976&amp;amp;doi=10.2478%2Fauom-2019-0034&amp;amp;partnerID=40&amp;amp;md5=59b5f845ca4eb8713d5d6a146d3f6b32" target="_blank" rel="noreferrer noopener"&gt;https://www.scopus.com/inward/record.uri?eid=2-s2.0-85078161976&amp;amp;doi=10.2478%2fauom-2019-0034&amp;amp;partnerID=40&amp;amp;md5=59b5f845ca4eb8713d5d6a146d3f6b32&lt;/a&gt;</text>
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              <text>All Open Access; Gold Open Access</text>
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              <text>ISSN: 12241784</text>
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              <text>Deepthy D., Bharathiar University, Coimbatore, India; Kureethara J.V., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India</text>
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