How many shortest lattice paths start at (5, 5) and a end at (14, 14)? b. end at (14, 14) and pass through (9, 6)? c. end at (14, 14) and avoid (9, 6)?

Q: What are the coordinates of the point on the directed line segment from (-6, –3) to (-1,7) that…

A:

Q: Suppose there are 10 points in a plane such that no three points are collinear. How many distinct…

A: Given; There 10 points in a plane such that no three points are collinear

Q: What are the coordinates of the point on the directed line segment from (-10, 3) to (-7,–3) that…

A: Here we have to find the coordinates of the point on the directed line segment from (-10,3) to…

Q: In a certain city, there are five streets going north-south and six streets going east-west. How…

A: It is given that, there are five streats going north-south and six streets going east west.

Q: For each of the following, find the number of shortest lattice paths from (5,5) to (11,11) which: a.…

A: (a) Number of paths from 5,5 to 11,11 that pass through the point 7,6 Number of lattice paths from…

Q: In how many ways can one walk from A to B by taking the shortest possible path along the grids?

A: In this case, we are able to move up or right. From the diagram we can move 4 rights, and 5 ups'.

Q: Construct a preimage with vertices at (-7, 7), (-9, 3), (-3, 7), and (-5, 3). Create an image by…

A:

Q: What are the coordinates of the point on the directed line segment from (-10, –10) to (6, –2) that…

A:

Q: What are the coordinates of the point on the directed line segment from (-1, -9) to (2, 6) that…

A: Use the section formula and simplify.

Q: What are the coordinates of the point on the directed line segment from (-3, 8) to (6, –4) that…

A: Section formula is the concept we are using here..    x, y =  mx2+nx1m+n , my2+ny1m+n  Are the…

Q: Calculate the number of paths of length 10 starting at the vertex 1. How many of these paths end at…

A: We will use the fact that if A is the adjacency matrix of a graph .Then the number of paths of…

Q: every interval is path-connected

A:

Q: What are the coordinates of the point on the directed line segment from (1, -5) to (10, 1) that…

A:

Q: What are the coordinates of the point on the directed line segment from (-1, –6) to (8, –3) that…

A:

Q: What are the coordinates of the point on the directed line segment from (–10, –3) to (-3, –3) that…

A:

Q: A connected multigraph has an euler path if and only if it has Every vertex has even degree Every…

A: Given that  A connected multigraph has an Euler Path if and only if it has.

Q: What are the coordinates of the point on the directed line segment from (-6, –6) to (-4, 10) that…

A: we have to find point

Q: Show that the average degree of a vertex in the triangulation is strictly less than 6.

A:

Q: Of all lattice paths from (0,0) to (9, 5) that only move up and to the right, how many: avoid the…

A: Consider a rectangular grid of 5 rows and 9 Column. We need to find the number of lattice path from…

Q: The set of North-East lattice paths start from (0,0), end at (n-k, n+k), and they do not go below…

A: Given below clear explanation

Q: 9. Obtain the shortest distance and shortest path from vertex 1 to every other vertex in the network…

A: To find the shortest distance between the vertex 1 to every other vertex .

Q: A connected multigraph has an euler path if and only if it has Exactly two vertices of odd degree…

A: Every time a circuit passes through a vertex, it adds twice to its degree. Since it is a circuit, it…

Q: A connected multigraph has an euler path if and only if it ha

A: Given that A connected multigraph has an Euler path if and only if it has.

Q: What are the coordinates of the point on the directed line segment from (4, 3) to (9, 8) that…

A: Our Aim is to find the coordinates of the point on the directed line segmentfrom (4,3) to (9,8) that…

Q: If countries in the Southeast region are consisting of archipelagos then other foreign countries…

A: Euler diagram is a general diagram giving meaningful information about things that are related to…

Q: 3 b.

A:

Q: What are the coordinates of the point on the directed line segment rom (-5, 8) to (-1, –8) that…

A: The coordinates of the point which partitions a directed line segment at the ratio of a:b from x1,y1…

Q: Assume that a circular pizza is being cut into pieces. If there are C cuts and I points of…

A: It is a counting problem .

Q: What are the coordinates of the point on the directed line segment from (4, 3) to (9,8) that…

A:

Q: Compute the betweenness centrality of all four vertices

A: Betweenness centrality measures the extent to which a vertex lies on paths between other vertices.…

Q: How many shortest lattice paths start at (2, 2) and a. end at (10, 10)? b. end at (10, 10) and pass…

A: Note: As per our guidelines, we are supposed to answer only 3subparts and rest can be reposted.…

Q: What are the coordinates of the point on the directed line segment from (-9, –1) to (-9, –10) that…

A:

Q: what is the Matchings alternating path and what is matching augmentating path And give example of…

A: To define matching alternating path and matching augmentating path .

Q: What are the coordinates of the point on the directed line segment from (–10, –3) to (2, –3) that…

A: Use section formula to find coordinate.

Q: 2 3

A: For a vertex x, the pair a,b under consideration are such that  i) a≠x,b≠x and  ii) there is a…

Q: Let G be a directed graph with 10 vertices. Let a and b be vertices that are connected by at least…

A:

Q: What are the coordinates of the point on the directed line segment from (−10,−3)to (−10,−3)that…

A: It is known that the point C that divides a line segment in the ration m:n will be of the form…

Q: Let S be a u,v-walk in a graph G. Show that a shortest (in number of edges) u,v-walk contained in W…

A: It is given that S be a u,v walk in a graph G.

Q: Complete a circuit starting at vertex s that passes through vertex u

A:

Q: How many shortest lattice paths start at (4, 4) and a. end at (15, 15)? 705432 b. end at (15, 15)…

A: Finding the number of  shortest latttice paths between (4,4) and (15, 15)

Q: What are the coordinates of the point on the directed line segment from (-9, –2) to (9, –6) that…

A:

Q: 13. . There are 8 points in a plane out of which 3 are collinear. How many straight lines can be…

A: There are 8 points in a plane out of which 3 are collinear and 5 are non collinear points.

Q: What are the coordinates of the point on the directed line segment from (- to (10,-2) that…

A: the given points are: (-4,-10), (10,-2)If (x,y) be the coordinate of the point than partition the…

Q: Suppose a graph has 8 vertices and is connected.  Three of those vertices have degree 6, and the…

A: Given: A graph has 8 vertices and is connected. Three of those vertices have degree 6, and the rest…

Q: What are the coordinates of the point on the directed line segment from (-4, – 10) to (10, –2) that…

A: To Find: Coordinates of the point on the directed line segment from -4,-10 to 10,-2 that partitions…

Q: Assume there are 3 ways to get from point A to B and 5 ways to get from B to C. How many possible…

A: Given Assume there are 3 ways to get from point A to B and 5 ways to get from B to C.

Q: How many shortest lattice paths start at (4,4) and end at (13,13)?

A: We can calculate the shortest path of lattice by method of  combination

Q: How many shortest lattice paths start at (5,5) and a. end at (10, 10)? b. end at (10, 10) and pass…

A: Solution :-

Q: What are the coordinates of the point on the directed line segment from (-1,-10) to (7,6) that…

A: To find the coordinates point.