If countries in the Southeast region are consisting of archipelagos then other foreign countries cannot invade it. Indonesia is located in the Southeast region. With that other foreign countries cannot invade it.   What is the euler diagram for this problem?

Q: Construct a graph with vertices F, G, H, I, J, K, L that has an Euler path, the degree of L is 1 and…

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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: Does the envelope graph below have an Euler Walk and circuit?

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Q: A simple grарh that contains exactly опe edge between each раir of distinct vertices is called

A: A simple graph that contains exactly one edge between each pair of distinct vertices is called

Q: 1. If there are 8 distinct points on a plane with no three of which are collinear, how many…

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Q: 2. Provide a graph (aside from the examples in our class discussion) that is Eulerian, i.e. a graph…

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Q: construct a graph with vertices Q,R,S,T,U,V,W that has an Euler path and the degree of U is 1 and…

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Q: find the minimum Hamilton circuit from the table starting at G. 10 10 12

A: Given The given table is Nearest Neighbor Algorithm→ i) Pick a starting vertex. ii) select the…

Q: 17. Find a path from A to A that passes through each edge exactly one time. If none exists explain…

A: An Euler circuit is a circuit that uses every edge of a graph exactly once and its starting and the…

Q: 4. Solve the travelling problem for the given graph by finding the total weight of all Hamilton…

A: A Hamilton circuit is a cycle which contain paths such that each path visit each vertex exactly…

Q: 3. Answer these questions about die 1ooled tuee illustratcd. a) Which vertex is the root? b) Which…

A: A special graph vertex that is designated to turn a tree into a rooted tree or a graph into a rooted…

Q: QUESTION 1 Is y-Vy a polynomisl?

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Q: Does a Hamiltonian path or circuit exist on the graph below?

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Q: Under which conditions does: a) A cycle-free graph have an Hamiltonian circuit? b) A complete graph…

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Q: For which m and n does the graph Km,n  contain an Euler path? An Euler circuit? Explain.

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Q: 4. Solve the travelling problem for the given graph by finding the total weight of all Hamilton…

A: Plotting a graph between circuit and it's weight. We get the following-

Q: Suppose that receiving stations​ X, Y, and Z are located on a coordinate plane at the points…

A: Given:X≡4,4Y≡-12,-4Z≡-6,9The epicenter of an earthquake is determined to be 5 units from X​, 13…

Q: Suppose that the edges of Kn are weighted-- what is the largest number of edges that cou be in the…

A: We will use the method of combinatorics to answer this question.

Q: 4. Solve the travelling problem for the given graph by finding the total weight of all Hamilton…

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Q: the dihedrad gronup Consider Du Eaub: a4-6=cab =1} the of Du and Verify drived Discuss Possible…

A: We will (1) first find the conjugacy class for the given group and then (2) we give the solution to…

Q: Use Dirac's Theorem to verify that the graph is hamiltonian and then find a hamiltonian circuit.

A: First name the vertex in given graph

Q: 1. Draw the edges needed in order to make the following graph complete. 2. Find any Hamiltonian…

A: A complete graph is a simple graph in which every pair of distinct vertices is connected by a unique…

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

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Q: 5. Does the graph bellow have a Hamiltonian path? Hamiltonian circuit? If

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Q: . Solve the travelling problem for the given graph by finding the total weight of all Hamilton…

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Q: Question 58 There exists a simple graph H with 6 vertices and 7 edges such that H has an Euler…

A: In a simple graph, only one edge exists between any two vertices. Also, each edge starts and ends in…

Q: If the results of a two-factor experiment are presented in a line graph, then what pattern appears…

A: the lines move toward each other or cross

Q: Suppose two Hamiltonian circuits are considered different if the collections of edges that they use…

A: Hamilton circuit: A circuit where every vertex must be passed only ones. Complete graph: A graph G,…

Q: What is the Pru fer code for a simple path whose vertices are numbered in increasing order (i.e., 1…

A: The complete solutions are given below

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: Problem 8: Prove that for every two vertices u and v there is exactly one simple path that connects…

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Q: A telephone company employee needs to check the telephone lines hanging from telephone poles for a…

A: Given a telephone company employee needs to check the telephone lines hanging from telephone poles…

Q: 3. Determine the classification of the quadrilateral: Vertices are (0,0), (5,2), (10,10), & (0,6)…

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Q: How can you draw a Euler diagram to show the following is invalid

A: P implies q The sentence p implies q is true if and only if the p is false or q is true or (the…

Q: Hamiltonian circuit,

A: Let the set of vertices of a bipartite graph be V = Vo ∪ V1, where |Vo| = m, |V1| = n and all…

Q: ) The nearest-neighbor tour starting with vertex B is given by:

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Q: Theorem 2.12 If an undirected graph has more than two vertices of odd degree, it does not have an…

A: The given statement is: If an undirected graph has more than two vertices of odd degree, it does not…

Q: 4. Solve the travelling problem for the given graph by finding the total weight of all Hamilton…

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Q: I. Does the graph below have Eulerian or Hamiltonian Circuit? If there is, find one. If none explain…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 2) A planar triangulation is constructed from a planar graph, and adding edges without edge…

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Q: 4. Five multigraphs are depicted below. Show that each of them is Eulerian by exhibiting an Euler…

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Q: The Seven Bridges of Konigsberg is an example of an Euler path.

A: The provided statement is True.

Q: Prove that the dual to Eulerian planar graph is bipartite.

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Q: Which is not an Euler tour?

A: Euler tour is closed path in which all edges visited once and path start and end at same vertex

Q: The graph with two vertices is Hamiltonian. True False

A: Definition - A graph is Hamiltonian connected if for every pair of vertices there is a Hamiltonian…

Q: 3. Provide a graph (aside from the examples in our class discussion) that has an Eulerian path.…

A: Solution:

Q: Is it possible for a graph to have both a Euler path and Euler circuit? Explain your answer.

A: Answer :- If a graph has an Euler circuit, i.e. a trail which uses every edge exactly once and…

Q: has a Hamilton path that starts at G and ends at D. has no Hamilton path. has a Hamilton path that…

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Q: Give an example of a graph on 8 vertices which is i) Hamiltonian but not Eulerian. ii) Eulerian but…

A: A connected graph G is Hamiltonian if there is a cycle in G which covers every vertex of G exactly…

Q: For which values of m and n does the complete bipartite graph Km,n have an Euler circuit?

A: Definitions: A Path in a directed graph G is sequence of edges in G. A Simple path is a path that…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.