See pseudoachromatic on Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "pseudo", "3": "achromatic" }, "expansion": "pseudo- + achromatic", "name": "prefix" } ], "etymology_text": "From pseudo- + achromatic.", "head_templates": [ { "args": { "1": "-" }, "expansion": "pseudoachromatic (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "English terms prefixed with pseudo-", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" } ], "examples": [ { "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.", "type": "quote" } ], "glosses": [ "Partially achromatic" ], "id": "en-pseudoachromatic-en-adj-B2w9PL1c", "links": [ [ "achromatic", "achromatic" ] ], "tags": [ "not-comparable" ] } ], "sounds": [ { "audio": "LL-Q1860 (eng)-Flame, not lame-pseudoachromatic.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/62/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoachromatic.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoachromatic.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/62/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoachromatic.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoachromatic.wav.ogg" } ], "word": "pseudoachromatic" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "pseudo", "3": "achromatic" }, "expansion": "pseudo- + achromatic", "name": "prefix" } ], "etymology_text": "From pseudo- + achromatic.", "head_templates": [ { "args": { "1": "-" }, "expansion": "pseudoachromatic (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ "English adjectives", "English entries with incorrect language header", "English lemmas", "English terms prefixed with pseudo-", "English terms with quotations", "English uncomparable adjectives", "Pages with 1 entry", "Pages with entries" ], "examples": [ { "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.", "type": "quote" } ], "glosses": [ "Partially achromatic" ], "links": [ [ "achromatic", "achromatic" ] ], "tags": [ "not-comparable" ] } ], "sounds": [ { "audio": "LL-Q1860 (eng)-Flame, not lame-pseudoachromatic.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/62/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoachromatic.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoachromatic.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/62/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoachromatic.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoachromatic.wav.ogg" } ], "word": "pseudoachromatic" }
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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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