Please state if the following questions are TRUE or FALSE ? -Suppose problem A reduces to problem B and there is an exponential time algorithm for B. Then there is an exponential time algorithm for A   -It has been (mathematically) proven that there is no polynomial time algorithm for any NP-Complete problem.   -If we have a polynomial time algorithm for 3SAT, then P = NP.   -If problem A reduces to problem B and problem C reduces to problem B, then problem A (always) reduces to problem C.   -The total weight of the minimum spanning tree is always the same as total weight of a traveling salesman tour.

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Types of trees

A tree data structure is a non–linear structure that stores data hierarchically. It can be defined as a group of objects, called nodes. The nodes are linked with edges. Trees begin with a root node which leads to children nodes. The last children nodes (endpoints) are called leaf nodes, and they do not have children nodes.