Talk:Three utilities problem/GA1

GA Review
The edit link for this section can be used to add comments to the review.''

Reviewer: The Most Comfortable Chair (talk · contribs) 09:01, 17 November 2021 (UTC)

Hello. I will begin the review shortly. — The Most Comfortable Chair 09:01, 17 November 2021 (UTC)
 * Ten days later, any progress? —David Eppstein (talk) 18:53, 27 November 2021 (UTC)

Lead

 * Something that stands out to me is the size of the lead. The lead accounts for around 20% of readable text in the article. While it does a decent job of covering all the important aspects in the body of the article, it is somewhat overdetailed and could use some pruning.
 * The crossing number — which is one — should be mentioned in the lead. And that the problem is very old perhaps.
 * The crossing number was already mentioned: "Although it is nonplanar, it can be drawn with a single crossing". Anyway, I moved some material from the lead into a new "Statement" section and significantly copyedited the rest, including a mention of its oldness. —David Eppstein (talk) 22:21, 30 November 2021 (UTC)

Puzzle solutions

 * "Kullman, however, states that" — "Kullman" should be linked when mentioned first, like it is in "History" (up to you if you want to link it again in that section) — "Kullman (1979)".
 * Linked. —David Eppstein (talk) 07:43, 30 November 2021 (UTC)
 * "In the utility graph, $$E=9$$ and $$2V-4=8$$, violating this inequality, so the utility graph cannot be planar." — "violating this inequality, so the utility graph cannot be planar." could be phrased better.
 * To violate an inequality is standard language, but I reworded to remind readers what the inequality is, in the process also using different wording here. —David Eppstein (talk) 07:43, 30 November 2021 (UTC)

Changing the rules

 * "K3,3" — Shouldn't it be consistent throughout the article, as $$K_{3,3}$$?
 * Thanks for catching this; fixed. —David Eppstein (talk) 07:43, 30 November 2021 (UTC)
 * "K3,3 is a toroidal graph, which means it can be embedded without crossings on a torus, a surface of genus one, and that versions of the puzzle in which the houses and companies are drawn on a coffee mug or other such surface instead of a flat plane can be solved." — Instead of "is a toroidal graph", wouldn't "as a toroidal graph" be more grammatically accurate, considering the whole sentence? Or the sentence could be broken down in two or three sentences if you would prefer that.
 * No "is" is the main verb here; everything after "which" is a dependent clause. Changing "is" to "as" would leave the sentence unverbed. But your comment made me notice that the sentence was unnecessarily long (impeding readability) so I broke it up into smaller sentences. —David Eppstein (talk) 07:43, 30 November 2021 (UTC)

Properties of the utility graph

 * "3"; "4" → "three"; "four"?
 * Ok, done. —David Eppstein (talk) 07:47, 30 November 2021 (UTC)
 * "and obviously they are equal." — Using "obviously" should be avoided. You can either edit it out or rephrase that part.
 * Usually I think it should be avoided, as a tell that someone is handwaving because they don't know how to explain why something is true. In this case I think it really is obvious, (both sides have three vertices; 3=3) but I reworded it anyway. —David Eppstein (talk) 07:47, 30 November 2021 (UTC)

Final assessment
GA review – see WP:WIAGA for criteria


 * 1) Is it well written?
 * A. The prose is clear and concise, and the spelling and grammar are correct:
 * B. It complies with the manual of style guidelines for lead sections, layout, words to watch, fiction, and list incorporation:
 * 1) Is it verifiable with no original research?
 * A. It contains a list of all references (sources of information), presented in accordance with the layout style guideline:
 * B. All in-line citations are from reliable sources, including those for direct quotations, statistics, published opinion, counter-intuitive or controversial statements that are challenged or likely to be challenged, and contentious material relating to living persons&mdash;science-based articles should follow the scientific citation guidelines:
 * C. It contains no original research:
 * D. It contains no copyright violations nor plagiarism:
 * 1) Is it broad in its coverage?
 * A. It addresses the main aspects of the topic:
 * B. It stays focused on the topic without going into unnecessary detail (see summary style):
 * 1) Is it neutral?
 * It represents viewpoints fairly and without editorial bias, giving due weight to each:
 * 1) Is it stable?
 * It does not change significantly from day to day because of an ongoing edit war or content dispute:
 * 1) Is it illustrated, if possible, by images?
 * A. Images are tagged with their copyright status, and valid fair use rationales are provided for non-free content:
 * B. Images are relevant to the topic, and have suitable captions:
 * 1) Overall:
 * Pass or Fail:
 * The article covers complex information in an accessible manner, and the topic is covered comprehensively. Prose is well-written and it meets the criteria. Thank you for your hard work, and another fine mathematics-related good article. — The Most Comfortable Chair 04:46, 1 December 2021 (UTC)
 * 1) Is it stable?
 * It does not change significantly from day to day because of an ongoing edit war or content dispute:
 * 1) Is it illustrated, if possible, by images?
 * A. Images are tagged with their copyright status, and valid fair use rationales are provided for non-free content:
 * B. Images are relevant to the topic, and have suitable captions:
 * 1) Overall:
 * Pass or Fail:
 * The article covers complex information in an accessible manner, and the topic is covered comprehensively. Prose is well-written and it meets the criteria. Thank you for your hard work, and another fine mathematics-related good article. — The Most Comfortable Chair 04:46, 1 December 2021 (UTC)
 * 1) Overall:
 * Pass or Fail:
 * The article covers complex information in an accessible manner, and the topic is covered comprehensively. Prose is well-written and it meets the criteria. Thank you for your hard work, and another fine mathematics-related good article. — The Most Comfortable Chair 04:46, 1 December 2021 (UTC)
 * The article covers complex information in an accessible manner, and the topic is covered comprehensively. Prose is well-written and it meets the criteria. Thank you for your hard work, and another fine mathematics-related good article. — <b style="color:#000000">The Most Comfortable</b> <b style="color:#8A2BE2">Chair</b> 04:46, 1 December 2021 (UTC)