BLAST - UCSD CSE

... • Calculate optimal path score for each vertex in the graph • Each vertex’s score is the maximum of the prior vertices score plus the weight of the respective edge in between ...

... • Calculate optimal path score for each vertex in the graph • Each vertex’s score is the maximum of the prior vertices score plus the weight of the respective edge in between ...

Groupoid C*-algebras with Hausdorff Spectrum

... Suppose that the maps of H/Hx onto H · x are homeomorphisms for each x ∈ X . The spectrum C ∗ (H n X )∧ is Hausdorff if and only if the map x 7→ Hx is continuous with respect to the Fell topology and X /H is Hausdorff. Note: We can use [Orloff Clark; 07] and [Ramsay; 90] to show that if either X /H ...

... Suppose that the maps of H/Hx onto H · x are homeomorphisms for each x ∈ X . The spectrum C ∗ (H n X )∧ is Hausdorff if and only if the map x 7→ Hx is continuous with respect to the Fell topology and X /H is Hausdorff. Note: We can use [Orloff Clark; 07] and [Ramsay; 90] to show that if either X /H ...

ppt - Chair of Computational Biology

... Most choices of rearrangements quickly lead to hard algorithmic problems. Therefore, the set of operations is usually restricted to reversals, translocations, fusions or fissions where linear-time algorithms were developed in the last years. However, this choice of rearrangement operations is more d ...

... Most choices of rearrangements quickly lead to hard algorithmic problems. Therefore, the set of operations is usually restricted to reversals, translocations, fusions or fissions where linear-time algorithms were developed in the last years. However, this choice of rearrangement operations is more d ...

RELATIONS AND FUNCTIONS

... The inequality y $ 2x 1 3 defines a relation. For every real number x, there are many possible values of y. The set of ordered pairs that make the inequality true is the union of the pairs that make the equation y 5 2x 1 3 true and the pairs that make the inequality y . 2x 1 3 true. This is an infin ...

... The inequality y $ 2x 1 3 defines a relation. For every real number x, there are many possible values of y. The set of ordered pairs that make the inequality true is the union of the pairs that make the equation y 5 2x 1 3 true and the pairs that make the inequality y . 2x 1 3 true. This is an infin ...

Ranking Arguments With Compensation

... (c1 , c2 , c3 ) together have the same importance as c. Thus, in our example, the three arguments r, s, t compensate p; so a and b would be equally acceptable. In computational argumentation literature, there are semantics that privilege quality (case ii). Examples of such semantics are extension-ba ...

... (c1 , c2 , c3 ) together have the same importance as c. Thus, in our example, the three arguments r, s, t compensate p; so a and b would be equally acceptable. In computational argumentation literature, there are semantics that privilege quality (case ii). Examples of such semantics are extension-ba ...

Solutions to Exercises, Section 1.1

... must have 5 appear once, and must have 9 appear once. The order of the rows in a table that deﬁne a function do not matter. For convenience, we put the ﬁrst column in numerical order 3, 5, 9. Because the range must be {2, 4}, the second column must contain 2 and 4. There are three slots in which to ...

... must have 5 appear once, and must have 9 appear once. The order of the rows in a table that deﬁne a function do not matter. For convenience, we put the ﬁrst column in numerical order 3, 5, 9. Because the range must be {2, 4}, the second column must contain 2 and 4. There are three slots in which to ...

Neighborly Polytopes and Sparse Solution of Underdetermined

... The quotient polytope P = AC is also the unit ball for this norm: P = {y : Q(y) ≤ 1}. Indeed, the cross-polytope C is the set of x with `1 norm bounded by 1. Q(y) ≤ 1 just in case y is the image Ax of such an x; but this means Q(y) ≤ 1 exactly in AC = P . The unit ball for this norm can also be char ...

... The quotient polytope P = AC is also the unit ball for this norm: P = {y : Q(y) ≤ 1}. Indeed, the cross-polytope C is the set of x with `1 norm bounded by 1. Q(y) ≤ 1 just in case y is the image Ax of such an x; but this means Q(y) ≤ 1 exactly in AC = P . The unit ball for this norm can also be char ...

MATHEMATICS MAGAZINE

... Jessica owns three adorable cats: Boo, Kodiak, and Yoshi. Yoshi, unfortunately, has a bad habit: He likes to damage Jessica’s carpet. Sometimes Jessica wishes she had a machine that would magically change Yoshi into a tidier pet . . . a goldfish, perhaps. Of course, a goldfish is much smaller than a ...

... Jessica owns three adorable cats: Boo, Kodiak, and Yoshi. Yoshi, unfortunately, has a bad habit: He likes to damage Jessica’s carpet. Sometimes Jessica wishes she had a machine that would magically change Yoshi into a tidier pet . . . a goldfish, perhaps. Of course, a goldfish is much smaller than a ...

3-3 Solving Inequalities by Multiplying or Dividing

... California Standards Lesson Presentation ...

... California Standards Lesson Presentation ...

Parabolas

... parabola y = –x2, and sketch the graph. • To find the focus and directrix, we put the given equation in the standard form x2 = –y. • Comparing this to the general equation x2 = 4py, we see that 4p = –1; so, p = –¼. • Thus the focus is F(0, –¼) and the directrix is y = ¼. ...

... parabola y = –x2, and sketch the graph. • To find the focus and directrix, we put the given equation in the standard form x2 = –y. • Comparing this to the general equation x2 = 4py, we see that 4p = –1; so, p = –¼. • Thus the focus is F(0, –¼) and the directrix is y = ¼. ...

Graph-based Methods for the Design of DNA - TUBdok

... formalisms of graph theory used in this thesis as main modelling framework are presented. The chapter describes the dynamic programming approach to developing algorithms, concluding with an outline of the area of DNA computing and a survey of work in related fields. Chapters 3, 4 and 5 present the a ...

... formalisms of graph theory used in this thesis as main modelling framework are presented. The chapter describes the dynamic programming approach to developing algorithms, concluding with an outline of the area of DNA computing and a survey of work in related fields. Chapters 3, 4 and 5 present the a ...

Graph each inequality. 1. y > x + 3 SOLUTION - Waynesville R

... Since 5 is not greater than 35, shade the half plane that does not contain the point (0, 0). Notice that the x intercept of the graph is at 2. Since the half plane to the right of the x intercept is shaded, the solution is x > 2. ...

... Since 5 is not greater than 35, shade the half plane that does not contain the point (0, 0). Notice that the x intercept of the graph is at 2. Since the half plane to the right of the x intercept is shaded, the solution is x > 2. ...

# 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).