Please be sure to justify the running times you claim using what you know about the...
Please be sure to justify the running times you claim using what you know about the cost of Dijkstra’s algorithm and the meaning of dense and sparse graphs.
We know that our input graph G = (V,E) is sparse. What is the asymptotic running time in terms of |V|?
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Please be sure to justify the running times you claim using what
you know about the...
please justify. A Fibonacci heap is a fancy priority queue data structure. For a heap of...
please justify.
A Fibonacci heap is a fancy priority queue data structure. For a heap of size n, it takes O(log n) time to do an extractMin() operation but only O(1) time to do an insert or decrease operation. Suppose we replace the binary heap used in Dijkstra's algorithm by a Fibonacci heap. 6. If the graph is dense, what is the asymptotic complexity of Dijkstra's algorithm using a Fibonacci heap, in terms of V|? 7. If the graph is...
You are analyzing the below circuit and want to know how much current is running through...
You are analyzing the below circuit and want to know how much
current is running through some of the resistors. In the circuit,
RA=3.9 Ω, RB=0.7 Ω, RC=6.7 Ω,
RD=2.4 Ω, RE=5.8 Ω, C1=21 μF,
C2=14 μF and V1=13.9 V.
Please don't answer unless you
are 100% sure you are correct! Please show all work, thank you! I
WILL RATE!
You are analyzing the below circuit and want to know how much current is running through some of the resistors....
4.11.3 P4.11.3 Prove the claim at the end of the section about the Euclidean Algorithm and...
4.11.3
P4.11.3 Prove the claim at the end of the section about the Euclidean Algorithm and Fibonaci numbers. Specifically, prove that if positive naturals a and b are each at most F(n), then the Euclidean Algorithm performs at most n -2 divisions. (You may assume that n >2) P4.11.4 Suppose we want to lay out a full undirected binary tree on an integrated circuit chip, wi 4.11.3 The Speed of the Euclidean Algorithm Here is a final problem from number...
Let G (V, E) be a directed graph with n vertices and m edges. It is known that in dfsTrace of G t...
Let G (V, E) be a directed graph with n vertices and m edges. It is known that in dfsTrace of G the function dfs is called n times, once for each vertex It is also seen that dfs contains a loop whose body gets executed while visiting v once for each vertex w adjacent to v; that is the body gets executed once for each edge (v, w). In the worst case there are n adjacent vertices. What do...
Please answer only problem 2. Accurate answers with work shown will receive a 100% rating ASAP....
Please answer only problem 2. Accurate answers with work shown
will receive a 100% rating ASAP. Thank you!
Let G = (V, E) be a graph. We say that a subset S of the vertices V is an independent set if there is no edge in G joining two vertices in S. For example, given a proper colouring of the vertices of G, each colour class (i.e. the set of vertices that have some fixed colour) forms an independent set,...
Consider an unweighted, undirected graph G = 〈V, E). The neighbourhood of a node u E V in the gr...
Consider an unweighted, undirected graph G = 〈V, E). The neighbourhood of a node u E V in the graph is the set of all nodes that are adjacent (or directly connected) to v. Subsequently, we can define the neighbourhood degree of the node v as the sum of the degrees of all its neighbours (those nodes that are directly connects to v) (a) Design an algorithm that returns a list containing the neighbourhood degree for each node v V,...
In this question, we will think about how to answer shortest path problems where we have more than just a single sourc...
In this question, we will think about how to answer shortest path problems where we have more than just a single source and destination. Answer each of the following in English (not code or pseudocode). Each subpart requires at most a few sentences to answer. Answers significantly longer than required will not receive full credit You are in charge of routing ambulances to emergency calls. You have k ambulances in your fleet that are parked at different locations, and you...
Consider an unweighted, undirected graph G = 〈V, E). The neighbourhood of a node u E V in the gr...
This question needs to be done using pseudocode (not any
particular programming language). Thanks
Consider an unweighted, undirected graph G = 〈V, E). The neighbourhood of a node u E V in the graph is the set of all nodes that are adjacent (or directly connected) to v. Subsequently, we can define the neighbourhood degree of the node v as the sum of the degrees of all its neighbours (those nodes that are directly connects to v) (a) Design an...
can you please solve this CORRECTLY? Exercise 4 - Shortest path (25 pts) Using Dijkstra's algorithm,...
can you please solve this CORRECTLY?
Exercise 4 - Shortest path (25 pts) Using Dijkstra's algorithm, find the shortest path from A to E in the following weighted graph: a- Once done, indicate the sequence (min distance, previous node) for nodes D and E. (15pts) b- Below is a high-level code for Dijkstra's algorithm. The variables used in the code are self-explanatory. Clearly explain why its running time (when we use a min-heap to store the values min distance of...
Help please explain A reaction represented by the equation was studied at a specific temperature and...
Help please
explain
A reaction represented by the equation was studied at a specific temperature and the following data were collected: 2O_3(g) rightarrow 3O_2, (g) You may (do not have to) sketch any graphs you may need on the below graph papers be sure to indicate what a on your axis, (if you are running short on time, explain what plots are important to make here)
please justify.
A Fibonacci heap is a fancy priority queue data structure. For a heap of size n, it takes O(log n) time to do an extractMin() operation but only O(1) time to do an insert or decrease operation. Suppose we replace the binary heap used in Dijkstra's algorithm by a Fibonacci heap. 6. If the graph is dense, what is the asymptotic complexity of Dijkstra's algorithm using a Fibonacci heap, in terms of V|? 7. If the graph is...
You are analyzing the below circuit and want to know how much
current is running through some of the resistors. In the circuit,
RA=3.9 Ω, RB=0.7 Ω, RC=6.7 Ω,
RD=2.4 Ω, RE=5.8 Ω, C1=21 μF,
C2=14 μF and V1=13.9 V.
Please don't answer unless you
are 100% sure you are correct! Please show all work, thank you! I
WILL RATE!
You are analyzing the below circuit and want to know how much current is running through some of the resistors....
4.11.3
P4.11.3 Prove the claim at the end of the section about the Euclidean Algorithm and Fibonaci numbers. Specifically, prove that if positive naturals a and b are each at most F(n), then the Euclidean Algorithm performs at most n -2 divisions. (You may assume that n >2) P4.11.4 Suppose we want to lay out a full undirected binary tree on an integrated circuit chip, wi 4.11.3 The Speed of the Euclidean Algorithm Here is a final problem from number...
Let G (V, E) be a directed graph with n vertices and m edges. It is known that in dfsTrace of G the function dfs is called n times, once for each vertex It is also seen that dfs contains a loop whose body gets executed while visiting v once for each vertex w adjacent to v; that is the body gets executed once for each edge (v, w). In the worst case there are n adjacent vertices. What do...
Please answer only problem 2. Accurate answers with work shown
will receive a 100% rating ASAP. Thank you!
Let G = (V, E) be a graph. We say that a subset S of the vertices V is an independent set if there is no edge in G joining two vertices in S. For example, given a proper colouring of the vertices of G, each colour class (i.e. the set of vertices that have some fixed colour) forms an independent set,...
Consider an unweighted, undirected graph G = 〈V, E). The neighbourhood of a node u E V in the graph is the set of all nodes that are adjacent (or directly connected) to v. Subsequently, we can define the neighbourhood degree of the node v as the sum of the degrees of all its neighbours (those nodes that are directly connects to v) (a) Design an algorithm that returns a list containing the neighbourhood degree for each node v V,...
In this question, we will think about how to answer shortest path problems where we have more than just a single source and destination. Answer each of the following in English (not code or pseudocode). Each subpart requires at most a few sentences to answer. Answers significantly longer than required will not receive full credit You are in charge of routing ambulances to emergency calls. You have k ambulances in your fleet that are parked at different locations, and you...
This question needs to be done using pseudocode (not any
particular programming language). Thanks
Consider an unweighted, undirected graph G = 〈V, E). The neighbourhood of a node u E V in the graph is the set of all nodes that are adjacent (or directly connected) to v. Subsequently, we can define the neighbourhood degree of the node v as the sum of the degrees of all its neighbours (those nodes that are directly connects to v) (a) Design an...
can you please solve this CORRECTLY?
Exercise 4 - Shortest path (25 pts) Using Dijkstra's algorithm, find the shortest path from A to E in the following weighted graph: a- Once done, indicate the sequence (min distance, previous node) for nodes D and E. (15pts) b- Below is a high-level code for Dijkstra's algorithm. The variables used in the code are self-explanatory. Clearly explain why its running time (when we use a min-heap to store the values min distance of...
Help please
explain
A reaction represented by the equation was studied at a specific temperature and the following data were collected: 2O_3(g) rightarrow 3O_2, (g) You may (do not have to) sketch any graphs you may need on the below graph papers be sure to indicate what a on your axis, (if you are running short on time, explain what plots are important to make here)
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