Consider a Hamiltonian Graph (G) with no loops and parallel edges. Which of the following is true with respect to this Graph (G) ? (a) deg(v) ≥ n/2 for each vertex of G (b) |E(G)| ≥ 1/2 (n-1)(n-2)+2 edges (c) deg(v) + deg(w) ≥ n for every v and w not connected by an edge (A) (a) and (b) (B) (b) and (c) (C) (a) and (c) (D) (a), (b) and (c)

Consider a Hamiltonian Graph (G) with no loops and parallel edges. Which of the following is true with respect to this Graph (G) ? (a) deg(v) ≥ n/2 for each vertex of G (b) |E(G)| ≥ 1/2 (n-1)(n-2)+2 edges (c) deg(v) + deg(w) ≥ n for every v and w not connected by an edge (A) (a) and (b) (B) (b) and (c) (C) (a) and (c) (D) (a), (b) and (c)
by

1 Answer

Answer :

(D) (a), (b) and (c)
by

Related questions

Consider an undirected graph G where self-loops are not allowed. The vertex set of G is {(i, j) | 1 ≤ i ≤ 12, 1 ≤ j ≤ 12}. There is an edge between (a, b) and (c, d) if |a – c| ≤ 1 or |b–d| ≤ 1. The number of edges in this graph is (A) 726 (B) 796 (C) 506 (D) 616

Description : Consider an undirected graph G where self-loops are not allowed. The vertex set of G is {(i, j) | 1 ≤ i ≤ 12, 1 ≤ j ≤ 12}. There is an edge between (a, b) and (c, d) if |a – c| ≤ 1 or |b–d| ≤ 1. The number of edges in this graph is (A) 726 (B) 796 (C) 506 (D) 616

Last Answer : (D) 616

A vertex cover of an undirected graph G(V, E) is a subset V1 ⊆ V vertices such that (A) Each pair of vertices in V1 is connected by an edge (B) If (u, v) ∈ E then u ∈ V1 and v ∈ V1 (C) If (u, v) ∈ E then u ∈ V1 or v ∈ V1 (D) All pairs of vertices in V1 are not connected by an edge

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Last Answer : (C) If (u, v) ∈ E then u ∈ V1 or v ∈ V1

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Last Answer : (D) None of the above

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Last Answer : (C) Hamiltonian Graph

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Description : Cyclometric complexity of a flow graph G with n vertices and e edges is (A) V(G) = e+n-2 (B) V(G) = e-n+2 (C) V(G) = e+n+2 (D) V(G) = e-n-2

Last Answer : (B) V(G) = e-n+2

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Last Answer : B) Strongly Connected

A ................. complete subgraph and a ................. subset of vertices of a graph G=(V,E) are a clique and a vertex cover respectively. (A) minimal, maximal (B) minimal, minimal (C) maximal, maximal (D) maximal, minimal

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Last Answer : (D) maximal, minimal 

Which one of the following is used to compute cyclomatic complexity ? (A) The number of regions – 1 (B) E – N + 1, where E is the number of flow graph edges and N is the number of flow graph nodes. (C) P – 1, where P is the number of predicate nodes in the flow graph G. (D) P + 1, where P is the number of predicate nodes in the flow graph G.

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Last Answer : (D) P + 1, where P is the number of predicate nodes in the flow graph G.

How many edges must be removed to produce the spanning forest of a graph with N vertices, M edges and C connected components? (A) M+N-C (B) M-N-C (C) M-N+C (D) M+N+C

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Last Answer : (C) M-N+C

With respect to a loop in the transportation table, which one of the following is not correct? (1) Every loop has an odd no. of cells and at least 5. (2) Closed loops may or may not b square in shape. (3) All the cells in the loop that have a plus or minus sign, except the starting cell, must be occupied cells. (4) Every loop has an even no. of cells and at least four.

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Last Answer : Every loop has an odd no. of cells and at least 5.

A certain tree has two vertices of degree 4, one vertex of degree 3 and one vertex of degree 2. If the other vertices have degree 1, how many vertices are there in the graph? (A) 5 (B) n – 3 (C) 20 (D) 11

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Last Answer : (D) 11

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Last Answer : A) True, True

State True of False. i) Network is a graph that has weights or costs associated with it. ii) An undirected graph which contains no cycles is called a forest. iii) A graph is said to be complete if there is no edge between every pair of vertices. A) True, False, True B) True, True, False C) True, True, True D) False, True, True

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Last Answer : B) True, True, False

Given a flow graph with 10 nodes, 13 edges and one connected components, the number of regions and the number of predicate (decision) nodes in the flow graph will be (A) 4, 5 (B) 5, 4 (C) 3, 1 (D) 13, 8

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Last Answer : (B) 5, 4

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The grammar with production rules S → aSb |SS|λ generates language L given by: (A) L = {w∈{a, b}* | na(w) = nb(w) and na(v) ≥ nb(v) where v is any prefix of w} (B) L = {w∈{a, b}* | na(w) = nb(w) and na(v) ≤ nb(v) where v is any prefix of w} (C) L = {w∈{a, b}* | na(w) ≠ nb(w) and na(v) ≥ nb(v) where v is any prefix of w} (D) L = {w∈{a, b}* | na(w) ≠ nb(w) and na(v) ≤ nb(v) where v is any prefix of w}

Description : The grammar with production rules S → aSb |SS|λ generates language L given by: (A) L = {w∈{a, b}* | na(w) = nb(w) and na(v) ≥ nb(v) where v is any prefix of w} (B) L = {w∈{a, b}* | na(w) = nb(w) and na(v ... (D) L = {w∈{a, b}* | na(w) ≠ nb(w) and na(v) ≤ nb(v) where v is any prefix of w}

Last Answer : (A) L = {w∈{a, b}* | na(w) = nb(w) and na(v) ≥ nb(v) where v is any prefix of w} 

A triangulation of a polygon is a set of T chords that divide the polygon into disjoint triangles. Every triangulation of n-vertex convex polygon has ................ chords and divides the polygon into ............... triangles. (A) n-2, n-1 (B) n-3, n-2 (C) n-1, n (D) n-2, n-2

Description : A triangulation of a polygon is a set of T chords that divide the polygon into disjoint triangles. Every triangulation of n-vertex convex polygon has ................ chords and divides the polygon into ............... triangles. (A) n-2, n-1 (B) n-3, n-2 (C) n-1, n (D) n-2, n-2

Last Answer : (B) n-3, n-2

Consider a system with seven processes A through G and six resources R through W. Resource ownership is as follows: process A holds R and wants T process B holds nothing but wants T process C holds nothing but wants S process D holds U and wants S & T process E holds T and wants V process F holds W and wants S process G holds V and wants U Is the system deadlocked ? If yes, ............. processes are deadlocked. (A) No (B) Yes, A, B, C (C) Yes, D, E, G (D) Yes, A, B, F

Description : Consider a system with seven processes A through G and six resources R through W. Resource ownership is as follows: process A holds R and wants T process B holds nothing but wants T process C holds nothing but wants S process D holds U ... No (B) Yes, A, B, C (C) Yes, D, E, G (D) Yes, A, B, F

Last Answer : (C) Yes, D, E, G

Consider the table Student(stuid, name, course, marks). Which one of the following two queries is correct to find the highest marks student in course 5? Q.1. Select S.stuid From student S Where not exists (select * from student e where e course='5' and e marks ≥ s marks) Q.2. Select S.stuid From student S Where s.marks > any (select distinct marks from student S where s.couse = 5) (A) Q.1 (B) Q.2 (C) Both Q.1 and Q.2 (D) Neither Q.1 nor Q.2

Description : Consider the table Student(stuid, name, course, marks). Which one of the following two queries is correct to find the highest marks student in course 5? Q.1. Select S.stuid From student S Where not exists (select * from student ... ) Q.1 (B) Q.2 (C) Both Q.1 and Q.2 (D) Neither Q.1 nor Q.2

Last Answer : (B) Q.2 Explanation: First query gives stuid of students whose marks are greater than all students taking course 5. Second query gives stuid of students whose marks are greater than any student taking ... comparison is between maximum of marks by any student in course 5. So the answer is option D.

A graph is said to be ……………… if the vertices can be split into two sets V1 and V2 such there are no edges between two vertices of V1 or two vertices of V2. A) Partite B) Bipartite C) Rooted D) Bisects

Description : A graph is said to be ……………… if the vertices can be split into two sets V1 and V2 such there are no edges between two vertices of V1 or two vertices of V2. A) Partite B) Bipartite C) Rooted D) Bisects

Last Answer : B) Bipartite

A set of processors P1, P2, ......, Pk can execute in parallel if Bernstein's conditions are satisfied on a pair wise basis; that is P1 || P2 || P3 || ..... || Pk if and only if: (A) Pi || Pj for all i ≠ j (B) Pi || Pj for all i = j+1 (C) Pi || Pj for all i ≤ j (D) Pi || Pj for all i ≥ j

Description : A set of processors P1, P2, ......, Pk can execute in parallel if Bernstein's conditions are satisfied on a pair wise basis; that is  P1 || P2 || P3 || ..... || Pk if and only if: (A) Pi || Pj for all i ≠ j (B) Pi || Pj for all i = j+1 (C) Pi || Pj for all i ≤ j (D) Pi || Pj for all i ≥ j

Last Answer : (A) Pi || Pj for all i ≠ j Explanation: Bernstein's Condition: 1. If process Pi writes to a memory cell Mi, then no process Pj can read the cell Mi. 2. If process Pi read from a memory ... Mi. 3. If process Pi writes to a memory cell Mi, then no process Pj can write to the cell Mi.

A ……….. is a graph that has weights of costs associated with its edges. A) Network B) Weighted graph C) Both A and B D) None A and B

Description : A ……….. is a graph that has weights of costs associated with its edges. A) Network B) Weighted graph C) Both A and B D) None A and B

Last Answer : C) Both A and B

A graph is a collection of nodes, called ………. And line segments called arcs or ……….. that connect pair of nodes. A) vertices, edges B) edges, vertices C) vertices, paths D) graph node, edges

Description : A graph is a collection of nodes, called ………. And line segments called arcs or ……….. that connect pair of nodes. A) vertices, edges B) edges, vertices C) vertices, paths D) graph node, edges

Last Answer : A) vertices, edges

The cyclomatic complexity of a flow graph V(G), in terms of predicate nodes is: (A) P + 1 (B) P - 1 (C) P - 2 (D) P + 2 Where P is number of predicate nodes in flow graph V(G).

Description : The cyclomatic complexity of a flow graph V(G), in terms of predicate nodes is: (A) P + 1 (B) P - 1 (C) P - 2 (D) P + 2 Where P is number of predicate nodes in flow graph V(G).

Last Answer : (A) P + 1 

Compute the charge enclosed by a cube of 2m each edge centered at the origin and with the edges parallel to the axes. Given D = 10y 3 /3 j. a) 20 b) 70/3 c) 80/3 d) 30

Description : Compute the charge enclosed by a cube of 2m each edge centered at the origin and with the edges parallel to the axes. Given D = 10y 3 /3 j. a) 20 b) 70/3 c) 80/3 d) 30

Last Answer : c) 80/3

The figure shows the front view of a convex lens, which originally had only one edge. Five holes of different shapes, namely triangle, square, pentagon, hexagon and circle, were drilled through it at points P, Q, R, S and T in such a way that the holes were parallel to each other, perpendicular to the edge and all the holes were still within the lens edge. What is the total number of edges in the lens after the holes were drilled?

Description : The figure shows the front view of a convex lens, which originally had only one edge. Five holes of different shapes, namely triangle, square, pentagon, hexagon and circle, were drilled through it at points P ... . What is the total number of edges in the lens after the holes were drilled? 

Last Answer : 57

In .............., the bodies of the two loops are merged together to form a single loop provided that they do not make any references to each other. (A) Loop unrolling (B) Strength reduction (C) Loop concatenation (D) Loop jamming

Description : In .............., the bodies of the two loops are merged together to form a single loop provided that they do not make any references to each other. (A) Loop unrolling (B) Strength reduction (C) Loop concatenation (D) Loop jamming

Last Answer : (D) Loop jamming

When load is applied on concrete pavement (A) Away from edges, the maximum bending moment is negative (B) Away from edges, the maximum bending moment cause compression (C) On the edges, the maximum stress is parallel to the edge of the slab (D) None of these

Description : When load is applied on concrete pavement (A) Away from edges, the maximum bending moment is negative (B) Away from edges, the maximum bending moment cause compression (C) On the edges, the maximum stress is parallel to the edge of the slab (D) None of these

Last Answer : Answer: Option C

If the no of faces and vertex in a solid are 7 and 10 respectively the no of edges are?

Description : If the no of faces and vertex in a solid are 7 and 10 respectively the no of edges are?

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A fuzzy set A on R is ................. iff A(λx1 + (1 – λ)x2) ≥ min [A(x1), A(x2)] for all x1, x2 ∈ R and all λ ∈ [0, 1], where min denotes the minimum operator. (A) Support (B) α-cut (C) Convex (D) Concave

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Last Answer : (C) Convex 

The size of the graph matrix is A. Number of edges in the flow graph B. V Number of nodes in the flow graph C. Number of paths in the flow graph D. Number of independent paths.

Description : The size of the graph matrix is A. Number of edges in the flow graph B. V Number of nodes in the flow graph C. Number of paths in the flow graph D. Number of independent paths.

Last Answer : B. V Number of nodes in the flow graph

Consider f(N) = g(N) + h(N) Where function g is a measure of the cost of getting from the start node to the current node N and h is an estimate of additional cost of getting from the current node N to the goal node. Then f(N) = h(N) is used in which one of the following algorithms ? (A) A* algorithm (B) AO* algorithm (C) Greedy best first search algorithm (D) Iterative A* algorithm

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Description : In the following graph, discovery time stamps and finishing time stamps of Depth First Search (DFS) are shown as x/y where x is discovery time stamp and y is finishing time stamp.  It shows which of the following depth first forest? (A ... {a,b,e} {f,g} {c,d} {h} (D) {a,b,c,d} {e,f,g} {h}

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Which of the following statements is false? (A) Optimal binary search tree construction can be performed efficiently using dynamic programming. (B) Breadth-first search cannot be used to find connected components of a graph. (C) Given the prefix and postfix walks of a binary tree, the tree cannot be reconstructed uniquely. (D) Depth-first-search can be used to find the components of a graph. (1) A (2) B (3) C (4) D

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Last Answer : Answer: 2

Consider the fractional knapsack instance n = 4, (p1, p2, p3, p4) = (10, 10, 12, 18), (w1, w2, w3, w4) = (2, 4, 6, 9) and M = 15. The maximum profit is given by (Assume p and w denotes profit and weight of objects respectively) (A) 40 (B) 38 (C) 32 (D) 30

Description : Consider the fractional knapsack instance n = 4, (p1, p2, p3, p4) = (10, 10, 12, 18), (w1, w2, w3, w4) = (2, 4, 6, 9) and M = 15. The maximum profit is given by (Assume p and w denotes profit and weight of objects respectively) (A) 40 (B) 38 (C) 32 (D) 30

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For every context free grammar (G) there exists an algorithm that passes any w ∈ L(G) in number of steps proportional to (A) ln|w| (B) |w| (C) |w|2 (D) |w|3

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Last Answer : In a graph, the number of independent loops is 6 and the number of independent cut sets is 5, The total number of branches in the graph is 11

Consider the following statements S1 and S2 : S1 : A hard handover is one in which the channel in the source cell is retained and used for a while in parallel with the channel in the target cell. S2 : A soft handover is one in which the channel in the source cell is released and only then the channel in the target cell is engaged. (A) S1 is true and S2 is not true. (B) S1 is not true and S2 is true. (C) Both S1 and S2 are true. (D) Both S1 and S2 are not true.

Description : Consider the following statements S1 and S2 : S1 : A hard handover is one in which the channel in the source cell is retained and used for a while in parallel with the channel in the target cell. S2 : A soft handover ... and S2 is true. (C) Both S1 and S2 are true. (D) Both S1 and S2 are not true.

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In case of a double line river, contours are (A) Stopped at the banks of the river (B) Stopped at the edge of the river (C) Drawn across the water (D) Drawn by parabolic curves having their vertex at the centre of the water

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Which equation represents a graph with a vertex at (1,-6?

Description : Which equation represents a graph with a vertex at (1,-6?

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Description : What are the vertex and x-intercepts of the graph of the function below y x2 - 2x - 24?

Last Answer : Need answer

What is the vertex of the graph of the function below y x2 plus 6x plus 5?

Description : What is the vertex of the graph of the function below y x2 plus 6x plus 5?

Last Answer : Need answer

What is the vertex of the graph of the function below y x2 - 8x plus 12?

Description : What is the vertex of the graph of the function below y x2 - 8x plus 12?

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Consider the following database table having A, B, C and D as its four attributes and four possible candidate keys (I, II, III and IV) for this table: Image I: {B} II: {B, C} III: {A, D} IV: {C, D} If different symbols stand for different values in the table (e.g., d1 is definitely not equal to d2), then which of the above could not be the candidate key for the database table? (A) I and III only (B) III and IV only (C) II only (D) I only

Description : Consider the following database table having A, B, C and D as its four attributes and four possible candidate keys (I, II, III and IV) for this table: I: {B} II: {B, C} III: {A, D} IV: {C, D} If ... the database table? (A) I and III only (B) III and IV only (C) II only (D) I only

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Consider the following Entity-Relationship (E-R) diagram and three possible relationship sets (I, II and III) for this E-R diagram: Image If different symbols stand for different values (e.g., t1 is definitely not equal to t2), then which of the above could not be the relationship set for the E-R diagram ? (A) I only (B) I and II only (C) II only (D) I, II and III

Description : Consider the following Entity-Relationship (E-R) diagram and three possible relationship sets (I, II and III) for this E-R diagram: If different symbols stand for different values (e.g., t1 is definitely not equal to t2 ... diagram ? (A) I only (B) I and II only (C) II only (D) I, II and III

Last Answer : (A) I only

A resistor of value R/2 is connected in parallel with a resistor of value R/3. The voltage drop across the parallel combination is V. The total current supplied by the voltage source is: w) 2 V/R (read: 2 V over R) x) 3 V/R (read: 3 V over R) y) 4 V/R (read: 4 V over R) z) 5 V/R (read: 5 V over R)

Description : A resistor of value R/2 is connected in parallel with a resistor of value R/3. The voltage drop across the parallel combination is V. The total current supplied by the voltage source is: w) 2 V/R (read: 2 V over R) x) 3 V/R (read: 3 V over R) y) 4 V/R (read: 4 V over R) z) 5 V/R (read: 5 V over R)

Last Answer : ANSWER: Z -- 5 V/R