The Catalan number Cn gives the number possible non-intersecting diagonals in a a convex polygon with 2n vertices. The formula is

Q: Let S be a set of n lines in the plane such that no two are parallel and no three meet in the same…

A: Let S be a set of n lines in a plane such that notwo are parallel and no three meet in the same…

Q: 3) Show that the set of three-dimensional coordinates {(r,y, z)|x, y, z E Z} has size equal to N.

A: N stands for Natural numbers in number system.

Q: Draw a Bipartite Graph with 10 vertices that has an Eulerian Path and a Hamiltonian Cycle. The…

A: The solution to the given question is:

Q: Determine whether the graphs G and H are isomorphic. UĄ (b) VĄ U3 U5 V3 U2 V2 H G

A: Two graphs are isomorphic if they have: Equal number of vertices Number of vertices in graph G =…

Q: The graph Q5 has _vertices and --_edges. ---

A: Qn has 2n vertices, 2n-1n edges, and is a regular graph with n edges touching each vertex. Q5  25=32…

Q: Question 3: A graph G has order 24 and size 72. The degree of each vertex is 3, 6 or 9. There are 6…

A: When dealing with a graph, the order signifies the total number of vertices, while the size reflects…

Q: Q23. The following Adjacency Matrix represents 1 2 3 4 5 6 1030000 2000000 30 700 50 40 10000 5000…

A: The question has been solved in step2

Q: A rectangle has a perimeter of 20. If the area of the rectangle is to be maximized, the length of…

A: Answer

Q: Please use the Floyd-Warshall Algorithm to find the shortest paths for every two vertices. You need…

A: To apply the Floyd-Warshall algorithm to find the shortest path between all pairs of…

Q: Design an O(E) time algorithm for recognizing a palm polygon P where E is the number of visible…

A: an O(E) time algorithm for recognizing a palm polygon P where E is the number of visible pairs of…

Q: The time efficiency of warshall's algorithm for computing the transitive closure is (1) O Ⓒ(n³) O(n)…

A: The Floyd Warshall Algorithm is for solving all the pairs shortest path problems. The problems are…

Any Pair Segment

A line segment is the part of a line that is represented by a connection of two end points. It encompasses both ends of the line, as well as all points in between. The length of a line cannot be measured, but the length of a segment can be measured. If a line segment is bounded by two end points, it is called a closed line segment, whereas an open line segment does not have both endpoints. A line segment with a single endpoint is called half-open. A closed line segment contains every point on the line that exists between the two end points. For example, if L is a line, then AB is a line segment of line L where A and B are endpoints of the line segment.