Questions in Graph Theory: In the subject of the degree sequence of graph, answer the following:...

Questions in Graph Theory:

In the subject of the degree sequence of graph, answer the following:

When does a d-regular graph have an Eulerian trail? and When does it have an Eulerian circuit? Note: a d-regular graph is one with degree sequence (d, d, d, . . . , d) for example.
Can a tree be a regular graph? Why or why not

Expert Solution

Colby Messinger answered 1 year ago

For each of the following degree sequences, determine if the exists a graph whose degree sequence...

For each of the following degree sequences, determine if the exists a graph whose degree sequence is the one specified. In each case, either draw a graph or explain why no such graph exists. a. (5,4,3,2,1) b. (5,4,3,3,2,1) c. (5,5,4,3,2,1) Please show work - Discrete Mathematics - THANKS

Draw a graph with tow componets that has degree sequence (1,1,1,1,1,3,3,3)

Consider the following graph in the conext of project manageemnt and answer the following questions:

Consider the following graph in the conext of project manageemnt and answer the following questions:a) Define four type of cost of quality as mentioned in above figure with examples.b) Consider any mega project and explain which cost is most important for project manager to take extra care during project management?c) What extra precuations as a manager you will take to minimize the most important cost you have choosen in above part (b).

Suppose the following graph is the current condition of the U.S. economy. Answer the following questions...

Suppose the following graph is the current condition of the U.S. economy. Answer the following questions based on this graph. (10 points) Based on the graph, what type of gap is the U.S. economy experiencing? (40 points) From the Keynesian View— a. Is the issue on the demand or supply side of the economy? b. What government actions would be recommended? c. According to the Phillips curve, what would happen to the price level if we pursue policies to lower...

Answer the following questions (a through f) based upon a peptide sequence with the following amino...

Answer the following questions (a through f) based upon a peptide sequence with the following amino acids (one-letter symbols are given): EHSGLR (a) What are the full names and three-letter abbreviations of the amino acids? (b) At physiological pH, what is the best description of the chemical properties of the side chains(R groups)? (Hint: Select between nonpolar, polar uncharged, positively charged, negatively charged) (c) Draw the structure of this peptide at pH 7.0. (d) What is the net charge of...

determine the sequence below then answer following questions. IF YOU DONT KNOW IT OR ITS NOT...

determine the sequence below then answer following questions. IF YOU DONT KNOW IT OR ITS NOT GIVEN SKIP IT! sequence: GGGCGGGGTCTATACATGCAAGTCGAGCGAACGGATTAAGAGCTTGCTCTTAAGAAGTTAGCGGCGGACGGGTGAGTAACACGTGGGTAACCTGCCCATAAGACTGGGATAACTCCGGGAAACCGGGGCTAATACCGGATAACATTTTGCACCGCATGGTGCAAGATTGAAAGGCGGCTTCGGCTGTCACTTATGGATGGACCCGCGTCGCATTAGCTAGTTGGTGAGGTAACGGCTCACCAAGGCGACGATGCGTAGCCGACCTGAGAGGGTGATCGGCCACACTGGGACTGAGACACGGCCCAGACTCCTACGGGAGGCAGCAGTAGGGAATCTTCCGCAATGGACGAAAGTCTGACGGAGCAACGCCGCGTGAGCGATGAAGGCCTTCGGGTCGTAAAGCTCTGTTGTTAGGGAAGAACAAGTATGAGTTGAATAAGCTCATGCCTTGACGGTACCTAACCAGAAAGCCACGGCTAACTACGTGCCAGCAGCCGCGGTAATACGTAGGTGGCAAGCGTTATCCGGAATTATTGGGCGTAAAGCGCGCGCAGGCGGTTTCTTAAGTCTGATGTGAAAGCCCACGGCTCAACCGTGGAGGGTCATTGGAAACTGGGAGACTTGAGTGCAGAAGAGGAGAGTGGAATTCCATGTGTAGCGGTGAAATGCGTAGAGATATGGAGGAACACCAGTGGCGAAGGCGACTCTCTGGTCTGTAACTGACGCTGAGGCGCGAAAGCGTGGGGAGCAAACAGGATTAGATACCCTGG question: _______ 4.0 pts. B. Name the gene that we will be sequencing in order to identify the unknown. C. Explain why this region is considered to be the target for identification instead of sequencing the entire genome? D. What is the size (in bp) of target DNA in E. coli __________ 4.0 pts. What do we mean by...

Question in graph theory: 1. Let (a1,a2,a3,...an) be a sequence of integers. Given that the sum...

Question in graph theory: 1. Let (a1,a2,a3,...an) be a sequence of integers. Given that the sum of all integers = 2(n-1) Write an algorithm that, starting with a sequence (a1,a2,a3,...an) of positive integers, either constructs a tree with this degree sequence or concludes that none is possible.

Given the following program below answer the following questions. 1.Draw a program flow graph for the...

Given the following program below answer the following questions. 1.Draw a program flow graph for the binsearch() function 2. Find the Define and Usage node, du-paths and dc-paths for all the variables int binsearch(int x,int v[],int n) { int low,high,mid; low=0; high=n-1; while(low<high) { mid = ( low + high ) / 2; if( x < v[mid]) high = mid - 1; else if ( x > v[mid]) low = mid + 1; else return mid; } return -1; }

I. Use the DNA sequence below, which encodes a prokaryotic gene to answer the following questions....

I. Use the DNA sequence below, which encodes a prokaryotic gene to answer the following questions. 1 ATGAGGAGTT 11 GACACACAAG 21 AGGAGGTAGC 31 AGTATGGGTA 41 TAATCTAATG 51 CGTAATTGAG 61 GAGGTAGTTG 71 ACGTATGAAT 81 AGTTAACGTA 91 CGGGGGGGAA 101 ACCCCCCCTT 111 TTTTTTTTTC 121 GAGCAATAAA 131 AGGGTTACAG 141 ATTGCATGCT b) What region of this prokaryotic DNA sequence will be transcribed into mRNA? Circle one. 1-131 71-119 74-149 54-119 c) What will the sequence be for the protein translated from this mRNA? d) Where...

Subject: Combinatorics and Graph Theory (Note: in any way could you possibly explain clearly step by...

Subject: Combinatorics and Graph Theory (Note: in any way could you possibly explain clearly step by step for this problem in what is being done. *Including what gadgets are used etc.) *Problem: Could you reduce a 3-SAT to a Subset sum.

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