Question
What is a key characteristic regarding negative edge
weights in the Floyd-Warshall algorithm?Solution
The Floyd-Warshall algorithm is capable of handling graphs with negative edge weights. However, it cannot correctly compute shortest paths if the graph contains any negative weight cycles. The presence of a negative cycle would mean that paths could become arbitrarily short (negative infinity) by repeatedly traversing the cycle. The algorithm can, however, be used to detect the presence of negative cycles.
- A 240-litre solution contains milk and water in the ratio 3:5 respectively. How much milk should be added to make the ratio of milk to water 7:10?
A container contains Alcohol and water in ratio of 5:3 and Capacity of Container is 80 lit. If half of the Container is replaced with 30 lit of water th...
A mixture contains milk and water in the ratio 5:6, respectively. If half of the mixture is replaced with 6 litres of water, then the resultant mixture ...
- A container holds 160 litres of a solution containing sugar and water in the ratio 3:5. How many litres of sugar should be added to make the new ratio 4:5?
In what ratio must rice at Rs 50 per kg be mixed with rice at Rs 65 per kg so that the mixture may be worth Rs 56 per kg?
- Cost price of wheat (per kg) of type 'A' and 'B' is Rs. 84 and Rs. 132 respectively. Both types are mixed and sold at Rs. 156 per kg at a profit of 30%. Fi...
A vessel has 20L of 25% acid solution. How much pure acid must be added to make it 40% acid?
In a mixture of milk & water, 45 litres water is mixed due to which ratio changes from 3 : 4 to 1 : 3. Find initial quantity of mixture. (in litres)
In a mixture of milk & water, 40 litres water is mixed due to which ratio changes from 3 : 4 to 1 : 4. Find initial quantity of mixture. (in litres)
- Mixtures A and B have milk and water in ratio 3:5 and 2:3 respectively. 40 ml from A and 45 ml from B are mixed. Find the percentage of water in the final ...
