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Algebra 1 - HomeworkForYou
Algebra 1 - HomeworkForYou

Signed Reversal Distance
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... Though far from obvious, it turns out that this heuristic is exact for almost every signed permutation as n → ∞; in particular, it can be applied to calculate d(C1 , C2 ) along with a minimum collection of reversals for our given instance. Though it is not necessary for the solution of this problem, ...
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... belongs to the alphabet. The multiplication table is neither commutative or associative, so the order of multiplication matters. For example, consider the given multiplication table and the string bbbba. Parenthesizing it (b(bb))(ba) gives a, but ((((bb)b)b)a) gives c. Give an algorithm, with time p ...
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... Replace the inequality with an equal sign Draw a graph of the equation. If symbol is ≥ or ≤ draw a solid line If symbol is > or < draw a dotted line Select a point not on line. If solution shade the region If not a solution shade the side not containing the points ...
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General School Presentation

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Median graph



In graph theory, a division of mathematics, a median graph is an undirected graph in which every three vertices a, b, and c have a unique median: a vertex m(a,b,c) that belongs to shortest paths between each pair of a, b, and c.The concept of median graphs has long been studied, for instance by Birkhoff & Kiss (1947) or (more explicitly) by Avann (1961), but the first paper to call them ""median graphs"" appears to be Nebeský (1971). As Chung, Graham, and Saks write, ""median graphs arise naturally in the study of ordered sets and discrete distributive lattices, and have an extensive literature"". In phylogenetics, the Buneman graph representing all maximum parsimony evolutionary trees is a median graph. Median graphs also arise in social choice theory: if a set of alternatives has the structure of a median graph, it is possible to derive in an unambiguous way a majority preference among them.Additional surveys of median graphs are given by Klavžar & Mulder (1999), Bandelt & Chepoi (2008), and Knuth (2008).
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