- Arts & Culture 4421
- Books in Foreign Languages 125
- Business & Economics 4716
- Computers 2360
- Dictionaries & Encyclopedias 678
- Education & Science 80778
- Abstracts 1242
- Astrology 14
- Astronomy 13
- Biology 41
- Chemistry 3444
- Coursework 3693
- Culture 72
- Diplomas 2673
- Drawings 1635
- Ecology 31
- Economy 328
- English 1251
- Entomology 2
- Ethics, Aesthetics 25
- For Education Students 20577
- Foreign Languages 116
- Geography 20
- Geology 20
- History 229
- Maps & Atlases 42
- Mathematics 5676
- Musical Literature 5
- Pedagogics 221
- Philosophy 185
- Physics 15011
- Political Science 131
- Practical Work 85
- Psychology 492
- Religion 52
- Russian and culture of speech 103
- School Textbooks 68
- Sexology 67
- Sociology 53
- Summaries, Cribs 765
- Tests 21157
- Textbooks for Colleges and Universities 545
- Theses 181
- To Help Graduate Students 18
- To Help the Entrant 112
- Vetting 319
- Works 58
- Информатика 6

- Engineering 3219
- Esoteric 1145
- Fiction 3128
- For Children 386
- House, Family & Entertainment 2479
- Law 2882
- Medicine 1227
- Newspapers & Magazines 316
- Security 301
- Sport, Tourism 979
- Website Promotion 674

# Lectures on the theory of graphs. You can use both teachers and students.

Refunds: 0

Uploaded:

**11.01.2006**

Content: 60111123833490.zip (171,82 kB)

# Description

Lectures on the theory of graphs can be used by teachers to give lectures and students for the exam.

Doc file is easily converted into a spur.

Contents:

Basic concepts of graph theory.

Problems in the theory of graphs.

Basic definitions.

Valence.

Isomorphism of graphs.

Matrix ways to specify graphs and operations on them.

Matrix method of specifying the graph.

Basic operations on graphs.

Combining graphs.

Routes in graphs.

The concept of the route.

Routes in directed graphs.

Connectivity in graphs.

Connectedness and adjacency matrix of the graph.

Matrix vzaimodostizhimosti.

Trees.

Free trees.

Oriented, ordered and binary trees.

Euler and Hamiltonian graphs.

The problem of the bridges of Koenigsberg.

An algorithm for constructing Euler Euler cycle in the graph.

Hamiltonian graphs.

Estimating the number of Euler and Hamiltonian graphs

The fundamental cycles and cuts.

Fundamental cycles.

Incisions.

Planarity and coloring of graphs.

Planar graphs.

The coloring of graphs.

Algorithms coloring.

Communication theory of graphs with binary relations and vector spaces.

Relationship on the sets and graphs.

Vector spaces associated with graphs.

The shortest route in the graph.

Distances in graphs.

Bellman-Ford algorithm.

Coatings and independence.

Covers a multitude of vertices and edges.

Independent set of vertices and edges.

Dominating set.

The traveling salesman problem.

Statement of the Problem

Detours of vertices of depth and width.

The decision of the traveling salesman problem.

Flows in networks.

Basic definitions.

The theorem of Ford and Fulkerson.

An algorithm for constructing the maximum flow.

Network planning and management.

Elements of the network schedule.

Time parameters of the network schedule.

The distribution of limited resources.

An analysis of technical systems (for example, an electrical circuit).

Kirchhoff's law.

Basic equations.

Signal graphs.

General understanding of the signaling columns.

Conversion of signal graphs.

# Additional information

Lectures on the theory of graphs can be used by teachers to give lectures and students for the exam.

Contents:

Basic concepts of graph theory.

Problems in the theory of graphs.

Basic definitions.

Valence.

Isomorphism of graphs.

Matrix ways to specify graphs and operations on them.

Matrix method of specifying the graph.

Basic operations on graphs.

Combining graphs.

Routes in graphs.

The concept of the route.

Routes in directed graphs.

Connectivity in graphs.

Connectedness and adjacency matrix of the graph.

Matrix vzaimodostizhimosti.

Trees.

Free trees.

Oriented, ordered and binary trees.

Euler and Hamiltonian graphs.

The problem of the bridges of Koenigsberg.

An algorithm for constructing Euler Euler cycle in the graph.

Hamiltonian graphs.

Estimating the number of Euler and Hamiltonian graphs

The fundamental cycles and cuts.

Fundamental cycles.

Incisions.

Planarity and coloring of graphs.

Planar graphs.

The coloring of graphs.

Algorithms coloring.

Communication theory of graphs with binary relations and vector spaces.

Relationship on the sets and graphs.

Vector spaces associated with graphs.

The shortest route in the graph.

Distances in graphs.

Bellman-Ford algorithm.

Coatings and independence.

Covers a multitude of vertices and edges.

Independent set of vertices and edges.

Dominating set.

The traveling salesman problem.

Statement of the Problem

Detours of vertices of depth and width.

The decision of the traveling salesman problem.

Flows in networks.

Basic definitions.

The theorem of Ford and Fulkerson.

An algorithm for constructing the maximum flow.

Network planning and management.

Elements of the network schedule.

Time parameters of the network schedule.

The distribution of limited resources.

An analysis of technical systems (for example, an electrical circuit).

Kirchhoff's law.

Basic equations.

Signal graphs.

General understanding of the signaling columns.

Conversion of signal graphs.