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2. Split (graph theory) - Wikipedia

   en.wikipedia.org/wiki/Split_(graph_theory)

   A circle graph is the intersection graph of a family of chords of a circle. A given graph is a circle graph if and only if each of the quotients of its split decomposition is a circle graph, so testing whether a graph is a circle graph can be reduced to the same problem on the prime quotient graphs of the graph.

3. Split graph - Wikipedia

   en.wikipedia.org/wiki/Split_graph

   In graph theory, a branch of mathematics, a split graph is a graph in which the vertices can be partitioned into a clique and an independent set. Split graphs were first studied by Földes and Hammer ( 1977a , 1977b ), and independently introduced by Tyshkevich and Chernyak ( 1979 ), where they called these graphs "polar graphs" ( Russian ...

4. Polynomial long division - Wikipedia

   en.wikipedia.org/wiki/Polynomial_long_division

   Polynomial long division can be used to find the equation of the line that is tangent to the graph of the function defined by the polynomial P(x) at a particular point x = r. [3] If R ( x ) is the remainder of the division of P ( x ) by ( x – r ) 2 , then the equation of the tangent line at x = r to the graph of the function y = P ( x ) is y ...

5. Word-representable graph - Wikipedia

   en.wikipedia.org/wiki/Word-representable_graph

   Taking any non-comparability graph and adding an apex (a vertex connected to any other vertex), we obtain a non-word-representable graph, which then can produce infinitely many non-word-representable graphs. [3] Any graph produced in this way will necessarily have a triangle (a cycle of length 3), and a vertex of degree at least 5.

6. Word problem (mathematics education) - Wikipedia

   en.wikipedia.org/wiki/Word_problem_(mathematics...

   Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.

7. A Sleep Expert Warns Against "Unhealthy" Sleep Trend - AOL

   www.aol.com/sleep-expert-warns-against-unhealthy...

   Others sleep for 90 minutes three times a day, for a total of four-and-a-half hours daily. ... “You can’t divide your sleep up and expect it to work. Our bodies aren’t designed for that ...