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              <text>Further results on equitable near proper coloring of derived graph families</text>
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              <text>Equitable near proper coloring; Line graph; Middle graph; Total graph</text>
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              <text>A proper coloring assigns distinct colors to the adjacent vertices of a graph. An equitable near proper coloring of a graph G is an improper coloring in which neighbouring vertices are allowed to receive the same color such that the cardinalities of two distinct color classes differ by not more than one and the number of monochromatic edges is minimised by giving certain restrictions on the number of color classes that can have an edge between them. This paper discusses the equitable near proper coloring of line, middle, and total graphs of certain graph classes, such as paths, cycles, sunlet graphs, star graphs, and gear graphs.  2024 The Author(s). Published by Combinatorial Press.</text>
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              <text>Jose S.; Naduvath S.</text>
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              <text>Utilitas Mathematica, Vol-121, pp. 53-68.</text>
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              <text>Utilitas Mathematica Publishing Inc.</text>
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              <text>2024-01-01</text>
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              <text>&lt;a href="https://doi.org/10.61091/um121-05" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.61091/um121-05&lt;/a&gt;
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              <text>Restricted Access</text>
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              <text>ISSN: 3153681</text>
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              <text>Jose S., Department of Mathematics, Christ University, Bangalore, India; Naduvath S., Department of Mathematics, Christ University, Bangalore, India</text>
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