Jul 19, 2022 · In the given Book, Page 12, there is Discussion about BiPartite graphs being the "unique maximizer of the number of edges among 𝑛-vertex triangle-free graphs" with Mantels …

Apr 24, 2019 · Prove that, reflection of vertex of a triangle about angle bisector through other vertex lie on opposite side of triangle.

Jul 22, 2022 · Show that every $n$-vertex triangle-free graph with minimum degree greater than $2n/5$ is bipartite. First of all this result is vacuously true for $n=1,3,5$. For $n ...

Dec 1, 2024 · Prove that every triangle-free graph on n n vertices has chromatic number at most 2 n√ 2 n. How do I start the proof? Do I start by creating any triangle free graph or is there a …

Aug 17, 2024 · One source I found, but not others, mentioned that a Cevian splits a triangle into two smaller triangles, which would exclude the triangle's other two sides. So I was planning on …

Apr 2, 2024 · How must I find the third vertex of an equilateral / right isosceles triangle given the coordinates of 2 vertices? Ask Question Asked 1 year, 7 months ago Modified 1 year, 7 …

Aug 4, 2017 · The line segment intersects the triangle if any of these side line crossings occurs on the triangle. In addition, for a line segment with two exterior end points to intersect the triangle, …

Apr 14, 2018 · 1 Pick's Theorem implies that a triangle with lattice point vertices has rational area. The area of such an equilateral triangle is a rational multiple of the square root of $3$.

Feb 2, 2015 · Distance from vertex to incenter formula? Ask Question Asked 10 years, 9 months ago Modified 10 years, 9 months ago

Apr 7, 2012 · I have coordinates of 3d triangle and I need to calculate its area. I know how to do it in 2D, but don't know how to calculate area in 3d. I have developed data as follows. …