Jse Kruskal's algorithm to find a minimum spanning tree. } 7 a 1 8 8 6 10 9 f 2 3 5 4 d

How to do standard algorithm?

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Discrete Mathematics I need help with this 3 part problem Part a Part b Part c

Given a cube that has a side length of one, determine the greatest number of points that can be placed on the cube (located on faces or edges) so that for any 2 points they are at least one length apart from each other. To show that there is a x, number, you will have to draw x points that are all one length apart and provide mathematical proof that a collection of x+1 points has 2 points that are less then one apart. (This is a combinatorics and graph theory math problem)

Apply the backflow algorithm to the digraph below T9 (6) T5 (12) T1 (3) T6 (10) T8 (4) T10 (5) Т2 (2) End ТЗ (8) T7 (9) T4 (11) Task 5 has a critical time of Task 2 has a critical time of

shortest path (Dijkstra's Algorithm): helping solving please 10 A G B 3 Using Dijkstra's algorithm, find the total weight of the shortest path from node a to g. You do not need to give the path itself, only its total weight. To show your work, give the vector representing the "shortest path from a" as well as the list of nodes "visited" every step. The first step of the algorithm is given as an example. The shortest path which may visit nodes: [a] from node a to all others is: by 0 5 10

--DiscreteMath - Computer Science There is no formula for the number of nonisomorphic trees on n vertices. But there is one for labeled trees! Using Prüfer sequences, prove Cayley’s Formula, that the number of distinctly labeled trees on n vertices is n^(n-2).

4. [Ocean Weather] Information about ocean weather can be extracted from radar returns with the aid of a special algorithm. A study is conducted to estimate the difference in wind speed as measured on the ground and via the Seasat satellite. To do so, wind speeds (miles per hour) are measured on the ground and via the Seasat satellite simultaneously at 12 special times. The data is shown in the following table. The table also shows the difference between the wind speed on the ground and that via the Seasat satellite at each time, as well as some summary statistics. Difference Time Ground (x) Satellite (y) d= x – y 1 4.46 4.08 0.38 3.99 3.94 0.05 3 3.73 5.00 -1.27 4 3.29 5.20 -1.91 4.82 3.92 0.90 6 6.71 6.21 0.50 7 4.61 5.95 -1.34 8. 3.87 3.07 0.80 3.17 4.76 -1.59 10 4.42 3.25 1.17 11 3.76 4.89 -1.13 12 3.30 4.80 -1.50 d = -0.41 Sd = 1.14 It is claimed that the wind speed measured on the ground is lower than that measured via the Satellite on average. Set up your hypotheses to test this…

Back face elimimation algorithm removes ±50% of ploygones of convex polyhedra.