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NP-Completeness
(a) Suppose you are given an algorithm A to solve the CLIQUE decision problem. That is, A(G, k) will decide whether graph G has a clique of size k. Give an algorithm to find the vertices of a k-clique in a graph G using only calls to A, if any such k-clique exists.
(b) Suppose you are given an algorithm B to solve the LARGEST-COMMON-SUBGRAPH decision problem. Give an algorithm to find a subgraph of size k that appears in both graphs G1 and G2, using only calls to B, if any such subgraph exists.
True bearing of line is 300 and the magnetic declination is 30 W its magnetic bearing is what and Next If the back bearing of line is N 600 W its fore bearing is what ?
A short concrete column is being used to support the roof over a pedestrian walkway. The unbraced column length is 9 feet and supports a dead load of 12 kips and a live load of 20kips.
Tensile tests of structural steel indicate that it fails when the axial tensile strain is 1800mu. Determine the maximum change in length that a 0:25-in diameter structural steel rod in tension can withstand before failure if it is 24 in in length
what is the definition of critical state. explain at which stage a critical state may be approached in a drained triaxial text on a overconsolidated clay using stress path and strain-strain plot.
The total heads given by piezometers A and D are 98.9 cm and 3.6 cm, respectively. What are the total heads given by piezometers B and C?
A garage (24 ft x 24 ft x 10 ft) is illuminated by (6) 60 watt incandescent bulbs. It is estimated that 90% of the energy to an incandescent bulb is dissipated as heat. If the bulbs are left on for 3 hours, how much would the temperature in the ga..
A cutting 9 m deep is to be excavated in saturated clay of unit weight 19 kN/m3. The design shear strength parameters are cu = 30 kN/ m2 and fu = 0. A hard stratum underlies the clay at a depth of 11 m below ground level.
Under this load the bar elastically deforms so that the gae length increases to 2.007 in. and the cross section decreases to 0.599x0.599 in. Determine the modulus of elasticity and the poisson's ratio for this metal.
Two shafts are made of the same material and are of equal lengths.one of them is solid and another one is hollow. the ratio of inside and outside diameters for hollow shaft is 0.65.
Consider a diver weighing 200 lb at the end of a diving board that cantilevers out over 3 ft. The diver oscillates at a frequency of 2 Hz. What is the flexural rigidity EI of the diving board
What is the average length of queue, the average time spent in the system, and the average waiting time in the queue?
Sewage flows through a 12" diameter pipeline then through an 18" diamenter pipeline. The flow is the same (unknown) value in each pipe, and the slope is the same (unknown) contant value for both pipes.
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