"pseudoachromatic" meaning in All languages combined

See pseudoachromatic on Wiktionary

Adjective [English]

Audio: LL-Q1860 (eng)-Flame, not lame-pseudoachromatic.wav
Etymology: From pseudo- + achromatic. Etymology templates: {{prefix|en|pseudo|achromatic}} pseudo- + achromatic Head templates: {{en-adj|-}} pseudoachromatic (not comparable)
  1. Partially achromatic Tags: not-comparable
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          "ref": "2015, G. Araujo-Pardo, J.J. Montellano-Ballesteros, C. Rubio-Montiel, R. Strausz, “On the pseudoachromatic index of the complete graph III”, in arXiv:",
          "text": "Let #x5C;Pi#x5F;q be the projective plane of order q, let #x5C;psi(m)#x3A;#x3D;#x5C;psi(L(K#x5F;m)) the pseudoachromatic number of the complete line graph of order m, let a#x5C;in#x5C;#x7B;3,4,#x5C;dots,#x5C;tfrac#x7B;q#x7D;#x7B;2#x7D;#x2B;1#x5C;#x7D; and m#x5F;a#x3D;(q#x2B;1)²-a. In this paper, we improve the upper bound of #x5C;psi(m) given by Araujo-Pardo et al. [J Graph Theory 66 (2011), 89--97] and Jamison [Discrete Math. 74 (1989), 99--115] in the following values: if x#x5C;geq 2 is an integer and m#x5C;in#x5C;#x7B;4x²-x,#x5C;dots,4x²#x2B;3x-3#x5C;#x7D; then #x5C;psi(m)#x5C;leq 2x(m-x-1). On the other hand, if q is even and there exists #x5C;Pi#x5F;q we give a complete edge-colouring of K#x5F;#x7B;m#x5F;a#x7D; with (m#x5F;a-a)q colours.",
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          "text": "Let #x5C;Pi#x5F;q be the projective plane of order q, let #x5C;psi(m)#x3A;#x3D;#x5C;psi(L(K#x5F;m)) the pseudoachromatic number of the complete line graph of order m, let a#x5C;in#x5C;#x7B;3,4,#x5C;dots,#x5C;tfrac#x7B;q#x7D;#x7B;2#x7D;#x2B;1#x5C;#x7D; and m#x5F;a#x3D;(q#x2B;1)²-a. In this paper, we improve the upper bound of #x5C;psi(m) given by Araujo-Pardo et al. [J Graph Theory 66 (2011), 89--97] and Jamison [Discrete Math. 74 (1989), 99--115] in the following values: if x#x5C;geq 2 is an integer and m#x5C;in#x5C;#x7B;4x²-x,#x5C;dots,4x²#x2B;3x-3#x5C;#x7D; then #x5C;psi(m)#x5C;leq 2x(m-x-1). On the other hand, if q is even and there exists #x5C;Pi#x5F;q we give a complete edge-colouring of K#x5F;#x7B;m#x5F;a#x7D; with (m#x5F;a-a)q colours.",
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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