Slide 1Generics Programming in C# Generics CSE 494R (proposed course for 459 Programming in C#) Prof. Roger Crawfis Slide 2 Motivation See the Type Unification and the use…

Slide 1Spanning Trees Introduction to Algorithms Spanning Trees CSE 680 Prof. Roger Crawfis Slide 2 Tree We call an undirected graph a tree if the graph is connected and…

Slide 1Graph Algorithms Introduction to Algorithms Graph Algorithms CSE 680 Prof. Roger Crawfis Slide 2 Bipartiteness Graph G = (V,E) is bipartite iff it can be partitioned…

Slide 1Sorting in Linear Time Introduction to Algorithms Sorting in Linear Time CSE 680 Prof. Roger Crawfis Slide 2 Comparison Sorting Review Insertion sort: Pros: Easy to…

Slide 1Hash Tables Introduction to Algorithms Hash Tables CSE 680 Prof. Roger Crawfis Slide 2 Motivation Arrays provide an indirect way to access a set. Many times we need…

Slide 1Quicksort Introduction to Algorithms Quicksort CSE 680 Prof. Roger Crawfis Slide 2 Sorting Review Insertion Sort T(n) =  (n 2 ) In-place Merge Sort T(n) =  (n…

Slide 1Red-Black Trees Introduction to Algorithms Red-Black Trees CSE 680 Prof. Roger Crawfis Slide 2 Red-black trees: Overview Red-black trees are a variation of binary…

Slide 1Insertion Sort Introduction to Algorithms Insertion Sort CSE 680 Prof. Roger Crawfis Slide 2 Insertion Sort Overview How do we know where to place the next card? What…

Slide 1Self-Shadowing Real-Time Rendering Self-Shadowing CSE 781 Prof. Roger Crawfis Slide 2 Self-Shadow Algorithms Many of the shadow techniques can have receivers and occluders…

Slide 1 Dynamic Programming Introduction to Algorithms Dynamic Programming CSE 680 Prof. Roger Crawfis Slide 2 Fibonacci Numbers Computing the n th Fibonacci number recursively:…