Algortithm and Complexity
Big-O Notation
Example 1
Example 2
Example 3
Example 4
Sum Property of Big-O Notation
Multiplication Property of Big-O Notation
Example 1
Example 2
Big-Omega Notation
Big-Theta Notation
Example 1
Example 2
Linear Search Algorithm
Binary Search Algorithm
Bubble Sort Algorithm
Recurrence Relations
Introduction
Homogenous Recurrence Relations
Example 1
Example 2
Example 3
Example 4
Non Homogenous Recurrence Relations
Example5
Example 6
Creating Recurrence Relations
Example 7
Example 8
Example 9
Graph Theory
Introduction
Example 1
Graph Terminology
Example 2
Handshaking Theorem
Example 3
Example 4
Special Graphs
Example 5
Example 6
Bipartite Graphs
Example 7
Example 8
Complete Bipartite Graph
Matching
Example 9
Subgraph
Example 10
Subgraph Induced
Edge Contraction
Example 11
Complementary Graph
Example 12
Example 13
Example 14
Adjacency Matrices - Undirected Graphs
Adjacency Matrices - Directed Graphs
Example 15
Example 16
Incidence Matrices
Example 17
Isomorphism of Graphs
Example 18
Example 19
Example 20
Example 21
Definition of Paths and Circuits
Connected Graphs
Euler Paths and Circuits
Example 22
Hamilton Paths and Circuits
Example 23
Example 24
Relations
Definition of Relation
Example 1
Example 2
Example 3
Example 4
Reflexive Relations
Example 5
Example 6
Symmetric Relations
Antisymmetric Relations
Example 7
Transitive Relations
Example 8
Properties of Relations
Example 9
Example 10
Example 11
Example 12
Example 13
Example 14
Equivalence Relation
Example 15
Example 16
Example 17
Example 18
Example 19
Example 20
Example 21
Example 22
Example 23
Sample Final Problems
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2007 yılında Galatasaray Üniversitesi Bilgisayar Mühendisliği bölümünden birincilikle mezun olduktan sonra Fransa'da Kriptoloji üzerine Fransa hükümeti tarafından verilen bursla yüksek lisans yaptım. Devamında ikinci kez sınava girerek Boğaziçi Matematik bölümünü de bitirdim. Yaklaşık 15 yıldır üniversite öğrencilerine dersler vermekteyim.
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