design an algorithm to find the lengths of the shortest paths from s to all other vertices in g in o(|v | |e|) time

Answers

Answer 1

To find the lengths of the shortest paths from a source vertex s to all other vertices in a graph g in O(|V| |E|) time, we can use Dijkstra's algorithm, a popular graph traversal algorithm that works efficiently for non-negative edge weights.

Dijkstra's algorithm starts by initializing the distance to the source vertex as 0 and all other distances as infinity. It maintains a priority queue to select the vertex with the minimum distance at each step. It iteratively explores the adjacent vertices, updating their distances if a shorter path is found. This process continues until all vertices have been visited.

By using a suitable data structure, such as a min-heap, for efficient priority queue operations, Dijkstra's algorithm can achieve a time complexity of O(|V| log|V| + |E|), which can be approximated as O(|V| |E|) for dense graphs (when |E| is close to |V|^2).

Therefore, by applying Dijkstra's algorithm, we can find the lengths of the shortest paths from s to all other vertices in graph g in O(|V| |E|) time complexity.

Learn more about Dijkstra's algorithm here: brainly.com/question/30767850

#SPJ11


Related Questions

Amy and Darren each solved the following system of equations using a different method
y=0.5x + 1
4x -2y=4

Is either of them correct? Explain your reasoning and give the correct solution to the system.

Answers

Answer:

what is

Step-by-step explanation:

the the 3 4 4

What is the conjugate of
(-5 + 4i)?

Answers

Answer:

the answer to that is -1i

Step-by-step explanation:

cause if you add negative and positve you get to subtract it and get the sign of the highest number

15x=12x+15 whats the angle measures.

Answers

Answer:

x = 5 (please read the step by step explanation)

Step-by-step explanation:

So, I'm just going to solve for x because the instructions aren't too clear. I believe there is supposed to be an image attached to it, but seeing as I don't have that, I'll just solve for x and you can plug in with the values.

15x = 12x + 15

Same to both sides:

3x = 15

Isolate x:

x = 5

Just plug in those values and you'll be good to go! Have a good day!

The area of circle can be expressed by the
formula A = ar?where r is a radius of circle.
express radius in terms of area of circle.

Answers

9514 1404 393

Answer:

  r = √(A/π)

Step-by-step explanation:

Solve for r. Do this by dividing by the coefficient of the r² term, then taking the square root.

  A = πr²

  A/π = r²

  r = √(A/π)

help me plz plz i need my grades up​

Answers

Answer:

Decimal: 2.1

Fraction: 21/10

Answer:
2.1
Explanation

The results of the first 100 students who voted are represented in the table. There are still 50 more students left to vote. Based on the early results, how many MORE votes do you expect Dan to get out of the 50 late voters?

Answers

Answer:

1-50

Step-by-step explanation:

geometry: help needed, it’s urgent!
angle 1 measures 75 degrees, is this table right?

Answers

Answer:

angle 1 and 3 are alternate INTERIOR angles cos they are on the inside of the lines but you were close

in each diagram, BD bisects

Answers

Answer:

26. ∠ABC=44

27. ∠ABC=86

28. ∠ABC=116

Step-by-step explanation:

Since BD bisects ∠ABC in each diagram, ∠ABD=∠DBC.

26.

∠ABD=∠DBC

5x+2=7x-6

2x=8

x=4

∠ABC=∠ABD+∠DBC

=5(4)+2+7(4)-6

=20+2+28-6

=44

27.

∠ABD=∠DBC

11x-12=8x+3

3x=15

x=5

∠ABC=∠ABD+∠DBC

=11(5)-12+8(5)+3

=55-12+40+3

=86

28.

∠ABD=∠DBC

9x-23=5x+13

4x=36

x=9

∠ABC=∠ABD+∠DBC

=9(9)-23+5(9)+13

=81-23+45+13

=116

⅕m - 12 = -32
could someone solve this

Answers

Answer:

m = -100

Step-by-step explanation:

(1/5)m -12 = -32

add 12 on both sides

(1/5)m = -20

multiply both sides by 5

m = -100

Answer:

m = -100

Step-by-step explanation:

So in order to solve this equation we are going to have to convert 1/5m to a decimal, this will make it easier to solve the equation:

1/5m = 0.2m

Next we are going to take our 0.2m and place it within the equation where 1/5m is:

⅕m - 12 = -32  or 0.2m - 12 = -32

So now we are going to add 12 to both sides of the equal sign in the equation to segregate the 0.2m within the equation:

0.2m - 12 = -32  or 0.2m + (-12 + 12) = (-32 + 12)

making the equation look like this:

0.2m = -20

now we are going to divide 0.2 from both 0.2m and -20 to get the value of m:

0.2m/0.2 = -20/0.2

Thus getting the answer:

m = -100

So how do we know that -100 is the value of m? well we check our work of course by substituting -100 in place of m!

⅕(-100) - 12 = -32  or 0.2(-100) - 12 = 32

0.2(-100) - 12 = 32

-20 - 12 = -32

-32 = -32

-3y>x+6 I need help w this math problem

Answers

Answer:

y< −x/3 −2

Step-by-step explanation:

I hope this is what you need if not let me know and ill edit the answer

Find The Area of the parallelogram...

Answers

Answer:

162 ft^2

Step-by-step explanation:

the formula for finding the area of a triangle is [tex]\frac{b*h}{2}[/tex]

the base is 27 and the height is 12

[tex]\frac{27*12}{2}=\frac{324}{2} = 162[/tex]

the area of a triangle is (base X height)/2

(27 X 12)/2 = 324/2 = 162ft^2

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents.

(b^4)2

Answers

Answer:

[tex](b^4)^2 = b^{8}[/tex]

Step-by-step explanation:

Given

[tex](b^4)^2[/tex]

Required

Simplify

In indices, we have:

[tex](a^m)^n = a^{m*n[/tex]

So:

[tex](b^4)^2 = b^{4*2}[/tex]

[tex](b^4)^2 = b^{8}[/tex]

If A = 56° then find C.

Answers

Answer:

124

Step-by-step explanation:

If you are talking about angles, then the answer is 124 degrees. Question is a little open, though.

I hope this helps!

I need an explanation for the problem 4v2=-12v-9. I don't understand why it factors into 4v+3 and 4v+3

Answers

Answer:

The factors are [tex]2v+3,2v+3[/tex].

The factors are not [tex]4v+3,4v+3[/tex]

Step-by-step explanation:

Equation is [tex]4v^2=-12v-9[/tex].

This equation can be written as follows:

[tex]4v^2+12v+9=0[/tex]

Here,

[tex]12v=6v+6v[/tex]

Therefore,

[tex]4v^2+6v+6v+9=0\\2v(2v+3)+3(2v+3)=0\\(2v+3)(2v+3)=0[/tex]

So, the factors are [tex]2v+3,2v+3[/tex].

The factors are not [tex]4v+3,4v+3[/tex]

Need answer pizza ???

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Surface areas and Volumes.

Since, we know that the lateral area of a Right circular cone is given as,

AL = πrl

here, l = slant height , r = radius of the circular base.

so now, we have to find first slant height to get the lateral surface area,

[tex]l \: = \sqrt{ {r}^{2} + {h}^{2} } [/tex]

here, r = 8 cm and h = 15,

hence,

[tex]l \: = \sqrt{64 + 225} = \sqrt{289} = 17cm[/tex]

hence, now we apply the formula,

AL = π(8) (17) cm^2

===> AL = 136 π cm^2

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

$67

Step-by-step explanation:

So 5x12+7=C

PEDMAS so:

5x12 = 60

60+7 = 67

67 = C

Which Triangle appears to be both right and isosceles?

Answers

Answer: B

Step-by-step explanation: An isosceles right triangle is an isosceles triangle and a right triangle. This means that it has two congruent sides and one right angle. Therefore, the two congruent sides must be the legs.

Answer:

B

Step By Step Explanation:

The corner of the triangle is at 90 degrees making it a right angle. Both legs are congruent and has corresponding angles.

there are 5 red marbles, 7 green marbles, 4 black marbles, and 8 blue marbles in a bag. Find P(not yellow

Answers

Total number of Marbles is = 5 + 8 + 7 = 20

Total number of non-red marbles = 5 + 7 = 12.

P( Not yellow) 12/20 = 3/5.

The answer is 3/5.

Answer:

3/5

Step-by-step explanation:

tysm for whoever helps !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

21

Step-by-step explanation:

When you simply the fractions down, you will get this

[tex]16 + 5 = 21[/tex]

Hope this Helped

A set of 25 two digit numbers are listed below 10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98. What is the probability of the sum of the number's digits is odd?

Answers

Answer:

0.48

Step-by-step explanation:

Given the data:

X:

10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98

Sum of each of the numbers :

1, 8, 2, 5, 6, 10, 6, 12, 6, 7, 8, 7, 20, 13, 7, 11, 12, 9, 12, 15, 16, 13, 13, 16, 17

Probability that sum of the number's digit is odd:

Number of odd sum / total numbers

Number of odd sum = 12

Total numbers = 25

12 / 25

= 0.48

Identify the exponential function for the given graph.
A)
f(x) = (şs* +2
f(%) (şyx - 2
f(x) = (-3;* + 2
f(x) = (–33* - 2
9.
D)

Answers

Answer:

Step-by-step explanation:

C - 3(2^x).

, describe how a translation is different from a rotation.

Answers

Answer:Rotation is rotating an object about a fixed point without changing its size or shape. Translation is sliding a figure in any direction without changing its size, shape or orientation.

Step-by-step explanation:

uM ANY help pls?
Hopely someone can help!

Answers

Answer:

He made 35% of his shots he did not make 65& of his shots

Step-by-step explanation:

7/20=35%, 20/7=65%

Gabriella made 5 waffles for breakfast. She has 25 strawberries and 15 blueberries to put on top of the waffles. She will put a equal number of berries on each waffle.How many berries will gabrielle put on each waffle?

Answers

She will use 3 blueberries on each and 5 strawberries on each hope this helps <3

HELP ASAP HELPPP MARKING BRAINLIEST

Answers

The answer is 68 1/8

Answer:

answer is 68 1/8

Step-by-step explanation:

In the number 8246315 what sigit is in the ones place​

Answers

Answer:

5

Step-by-step explanation:

The ones place is the one most to the right that isn't after a decimal point.

Answer:

5, since it is all the way to the right

Step-by-step explanation:

if you ever have a big number, the number in thes ones place is ALWAYS on the far right, except if its a decimal !

i hope this helps !! :D

y-2=1/2(x-4) in slope intercept form

Answers

Answer:

y = 1/2x

Step-by-step explanation:

y - 2 = 1/2 (x-4)

y = 1/2x - 2 + 2

y = 1/2x

(The y - intercept is 0 because -2 and 2 cancels each other out)

Hope this helps :)

Let me know if there are any mistake!!

The slope intercept form of the equation y - 2 = 1/2 (x - 4) will be

⇒ y = 1/2x

What is equation of line?

The equation of line in slope intercept form is defined as;

y = mx + b

Where, 'm' is slope of line and 'b' is y-intercept.

Given that;

The equation of line is;

y - 2 = 1/2 ( x - 4 )

Now,

We can change the equation of line in slope intercept form as,

y - 2 = 1/2 ( x - 4)

Solve as;

y - 2 = 1/2 x - 1/2 × 4

y - 2 = 1/2 x - 2

Add 2 both side,

y - 2 + 2 = 1/2 x - 2 + 2

y = 1/2 x

Thus, The slope intercept form of the equation y - 2 = 1/2 (x - 4) will be;

⇒ y = 1/2x

Learn more about the equation of line visit:

https://brainly.com/question/18555692

#SPJ5

What is the value of the expression 11 - (34.48?
1) 3
O2) 5
O 3) 8
4) 9

Answers

Answer:

-23.48

Step-by-step explanation:

Hoped this helped!!

Who ever get it right I will give Brainly thx u

Answers

It be 12 cause from the smaller one 2*4 would = to 8 and 5*4 also = to 20 so 3*4 = to 12.

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-3,0) and (5, -3)

Answers

Use the distance formula to find the distance.
Other Questions
A gas at STP has a volume of 37.8 L. If the temperature is raised to 295 K and the pressure is changed to 50.0 kPa, what is the new volume of the gas? war is peace freedom is slavery ignorance is strength.a. trueb. false describe the tympanic membrane and temporal artery thermometers, and compare their use with othe forms of termperature meaureent The sum of the potential energy and the kinetic energy of an object is its thermal energy. As part of a school project on food, your teacher has asked you to explain how important food is in your life.You could include some of the following in your explanation:your own personal likes and dislikeshow important a healthy diet is to youwhat your involvement is in the growing, preparation and cooking of food how important food is for special family events and festivals How to restore stuff what's the grammatical name of using words to express ideas How do you write a function from a table of values? 50 POINTS!!!In the graph, which machine has the smallest mechanical advantage? A nurse sets an intravenousfluid drip rate at 1000 mLevery 8 hr. How much fluid would the patient receive in3 hr? Step by step (applications of rational equations) The height of a kicked ball can be modeled by the quadratic function h = - 0 .01x^2 + 1.18x + 2. The horizontal distance traveled by the ball in feet is represented by x, and h is the height of the ball in feet. Approximately how far does the ball travel horizontally by the time it hits the ground? Mr. Rushworth was from the first struck with the beauty of Miss Bertram, and being inclined to marry, soon fancied himself in love. He was a heavy young Line man, with not more than common sense; but as there was nothing disagreeable in his figure or address, the young lady was well pleased with her conquest. Being now in her twenty-first year, Maria Bertram was beginning to think matrimony a duty; and as a marriage with Mr. Rushworth would give her the enjoyment of a larger income than her father's, as well as ensure her the house in town, which was now a prime object, it became, by the same rule of moral obligation, her evident duty to marry Mr. Rushworth if she could. Mrs. Norris was most zealous in promoting the match, by every suggestion and contrivance, likely to enhance its desirableness to either party; and, among other means, by seeking an intimacy with the gentleman's mother, who at present lived with him, and to whom she even forced Lady Bertram to go through ten miles of indifferent road, to pay a morning visit. (5)It was not long before a good understanding took place between this lady and herself. Mrs. Rushworth acknowledged herself very desirous that her son should marry, and declared that of all the young ladies she had ever seen, Miss Bertram seemed, by her amiable qualities and accomplishments, the best adapted to make him happy. Mrs. Norris accepted the compliment, and admired the nice discernment of character which could so well distinguish merit. Maria was indeed the pride and delight of them allperfectly faultlessan angel; and of course, so surrounded by admirers, must be difficult in her choice; but yet as far as Mrs. Norris could allow herself to decide on so short an acquaintance, Mr. Rushworth appeared precisely the young man to deserve and attach her. After dancing with each other at a proper number of balls, the young people justified these opinions, and an engagement, with a due reference to the absent Sir Thomas, was entered into, much to the satisfaction of their respective families, and of the general lookers-on of the neighbourhood, who had, for many weeks past, felt the expediency of Mr. Rushworth's marrying Miss Bertram. (10)It was some months before Sir Thomas's consent could be received; but in the meanwhile, as no one felt a doubt of his most cordial pleasure in the connection, the intercourse of the two families was carried on without restraint, and no other attempt made at secrecy, than Mrs. Norris's talking of it every where as a matter not to be talked of at present. Edmund was the only one of the family who could see a fault in the business; but no representation of his aunt's could induce him to find Mr. Rushworth a desirable companion. He could allow his sister to be the best judge of her own happiness, but he was not pleased that her happiness should centre in a large income; nor could he refrain from often saying to himself, in Mr. Rushworth's company, "If this man had not twelve thousand a year, he would be a very not smart fellow."Sentences 1112 ("Edmund was the only one...fellow") reveal that A. Edmund believes Maria has been manipulated by family members B. Edmund fears Maria is unaware of her suitor's unsavory reputation C. Edmund perceives Maria to be very naive in her expectations of marriage D. Edmund trusts Maria to make her own decision but has reservations E. Edmund understands that his sister needs to marry a man who is wealthy Burlington Interview Questions Brenna is considering which brand of cereal to buy. She knows some brands contain a lot of sodium, or salt, which she is trying to avoid. Crispee Flakes has 0.23 grams of sodium per cup. Corn Puffers has 0.28 grams of sodium per cup. Energy Doodles has 0.26 grams of sodium per cup.How many of the brands have less than 1\4 of a gram of sodium per cup? Use the number line below, where RS=4y+4, ST=3y+8, and RT=54.a. What is the value of y?b. Find RS and ST. Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant doesthe line with equation y = x + 1 intersect the circle with radius 4 and center (0, 1)? Damage to ependymal cells would most likely affect the formation of myelin sheaths. repair of axons. formation of cerebrospinal fluid. transport of neurotransmitters within axons. formation of ganglia: What happens to intensity when you increase the area over which a given amount of light energy is distributed? How many solutions does -3=2x-8x+8 have HELP ASAP!!!Organic farms pros and cons.- Do the pros outweigh the cons- Who should pay to research organic farming techniques?- Do you think that we should do away with nonorganic farming? Why or why not?