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Graph Colouring Problem

Please use words to describe the solution process: Let G be a graph with exactly one cycle. Prove that x(G) is less than or equal t0 3. *(Please see attachment for proper symbols)

Subject:

Math

Topic:

Discrete Structures

Posting ID:

29710

OTA ID:

104455

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Propositional Logic

Verify DeMorgans laws (equation 1 and 2 below) using truth tables... Please see attached Word document.

Subject:

Math

Topic:

Discrete Structures

Posting ID:

29903

OTA ID:

101298

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Propositional Logic

Please see the attached Word Document.

Subject:

Math

Topic:

Discrete Structures

Posting ID:

29904

OTA ID:

104632

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Discrete Structures - Coloring

Let G be a properly colored graph and let us suppose that one of the colours used is red. The set of all red-coloured vertices have a special property. What is it? Graph colouring can be thought of as partitioning V(G) into subsets with this special property. (See attachment for full background)

Subject:

Math

Topic:

Discrete Structures

Posting ID:

30125

OTA ID:

103300

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Discrete Mathematics

A soccer ball is formed by stitching together pieces of material that are regular pentagons and regular hexagons. Each corner of a ploygon is the meeting place for exactly three polygons. Prove that there must be exactly 12 pentagons. (Please see attachment for full question and background)

Subject:

Math

Topic:

Discrete Structures

Posting ID:

30201

OTA ID:

103197

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