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              <text>Pious, Merlin; Madhumitha, S.; Naduvath, Sudev</text>
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              <text>Some improper injective coloring parameters of graphs</text>
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              <text>01-01-2026</text>
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              <text>Discrete Mathematics, Algorithms and Applications;Volume;18;Issue;2;Article No.;2550026;</text>
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              <text>&lt;a href="https://doi.org/10.1142/S1793830925500260" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1142/S1793830925500260&lt;/a&gt; &lt;br /&gt;&lt;br /&gt;&lt;a href="https://www.scopus.com/pages/publications/85219118090?origin=resultslist" target="_blank" rel="noreferrer noopener"&gt;https://www.scopus.com/pages/publications/85219118090?origin=resultslist&lt;/a&gt;</text>
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              <text>Pious M., Department of Mathematics, Christ University, Bangalore, India; Madhumitha S., Department of Mathematics, Christ University, Bangalore, India; Naduvath S., Department of Mathematics, Christ University, Bangalore, India</text>
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              <text>Any vertex coloring protocol of a graph can be viewed as a random experiment of assigning colors to the vertices, whose random variable is defined as the number of vertices assigned a specific color in that coloring. Based on this idea, the statistical parameters of mean and variance have been extended to chromatic mean and chromatic variance for various proper vertex colorings of graphs in the literature. In this paper, the ideas of chromatic mean and chromatic variance of graphs concerning their improper injective coloring are introduced and determined for certain standard graphs.  World Scientific Publishing Company.</text>
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              <text>chromatic mean; chromatic sum; chromatic variance; Improper coloring; injective coloring</text>
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              <text>ISSN: 17938309;</text>
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              <text>Restricted Access; Hardcopy may be available in the library</text>
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