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Ibrahim Cahit Arkut

ICA2 (Ibrahim Cahit Arkut)

182

Photos

June 2005

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Happy New Year 2012

Happy New Year 2012

ICA2 (Ibrahim Cahit Arkut)

0

CORDIALLY YOURS

CORDIALLY YOURS

ICA2 (Ibrahim Cahit Arkut)

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Three Colorability of a Planar Graph

Three Colorability of a Planar Graph

ICA2 (Ibrahim Cahit Arkut)

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Hurricane Hamilton

Hurricane Hamilton

ICA2 (Ibrahim Cahit Arkut)

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A mathematical beauty

A mathematical beauty

ICA2 (Ibrahim Cahit Arkut)

1

An Hamilton Cycle in Buckminsterfullerene (C60)

An Hamilton Cycle in Buckminsterfullerene (C60)

ICA2 (Ibrahim Cahit Arkut)

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Breaking Odd Ring

Breaking Odd Ring

ICA2 (Ibrahim Cahit Arkut)

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Potential Criminals

Potential Criminals

ICA2 (Ibrahim Cahit Arkut)

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Edge three coloring of the Grinberg graph

Edge three coloring of the Grinberg graph

ICA2 (Ibrahim Cahit Arkut)

2

AMGS-Cahit_Page_8

AMGS-Cahit_Page_8

ICA2 (Ibrahim Cahit Arkut)

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AMGS-Cahit_Page_7

AMGS-Cahit_Page_7

ICA2 (Ibrahim Cahit Arkut)

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AMGS-Cahit_Page_6

AMGS-Cahit_Page_6

ICA2 (Ibrahim Cahit Arkut)

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AMGS-Cahit_Page_5

AMGS-Cahit_Page_5

ICA2 (Ibrahim Cahit Arkut)

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AMGS-Cahit_Page_4

AMGS-Cahit_Page_4

ICA2 (Ibrahim Cahit Arkut)

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AMGS-Cahit_Page_3

AMGS-Cahit_Page_3

ICA2 (Ibrahim Cahit Arkut)

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AMGS-Cahit_Page_2

AMGS-Cahit_Page_2

ICA2 (Ibrahim Cahit Arkut)

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AMGS-Cahit_Page_1

AMGS-Cahit_Page_1

ICA2 (Ibrahim Cahit Arkut)

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Short Proof and Long History of the 4CT

Short Proof and Long History of the 4CT

ICA2 (Ibrahim Cahit Arkut)

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Cahit in Chinese Text (page 2)

Cahit in Chinese Text (page 2)

ICA2 (Ibrahim Cahit Arkut)

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Learning Spiral Chain Coloring

Learning Spiral Chain Coloring

ICA2 (Ibrahim Cahit Arkut)

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A letter from Gerhard Ringel in 1990

A letter from Gerhard Ringel in 1990

ICA2 (Ibrahim Cahit Arkut)

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The Tutte's Map

The Tutte's Map

ICA2 (Ibrahim Cahit Arkut)

1

The Color of Controversy

The Color of Controversy

ICA2 (Ibrahim Cahit Arkut)

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SPIRAL-CHAINS-NEW-PROOF-OF-THE-FOUR-COLOR-THEOREM

SPIRAL-CHAINS-NEW-PROOF-OF-THE-FOUR-COLOR-THEOREM

ICA2 (Ibrahim Cahit Arkut)

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Strong four coloring of Martin Gardner's Map

Strong four coloring of Martin Gardner's Map

ICA2 (Ibrahim Cahit Arkut)

0

Strong Four Color Map Coloring

Strong Four Color Map Coloring

ICA2 (Ibrahim Cahit Arkut)

3

No Blue Ring

ICA2 (Ibrahim Cahit Arkut)

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Half full and Half empty

Half full and Half empty

ICA2 (Ibrahim Cahit Arkut)

1

Abstract in Turkish

Abstract in Turkish

ICA2 (Ibrahim Cahit Arkut)

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Arf invariant is worth 10 Turkish Lira

Arf invariant is worth 10 Turkish Lira

ICA2 (Ibrahim Cahit Arkut)

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The Universe in Four Colors

The Universe in Four Colors

ICA2 (Ibrahim Cahit Arkut)

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Coiled Creature of the Night-No Need to Color

Coiled Creature of the Night-No Need to Color

ICA2 (Ibrahim Cahit Arkut)

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Spiral Chains

ICA2 (Ibrahim Cahit Arkut)

1

AMGS-2009, June 4-5, 2009

AMGS-2009, June 4-5, 2009

ICA2 (Ibrahim Cahit Arkut)

1

My Wordle for Map Coloring Puzzle

My Wordle for Map Coloring Puzzle

ICA2 (Ibrahim Cahit Arkut)

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Map Coloring Puzzle (III)

Map Coloring Puzzle (III)

ICA2 (Ibrahim Cahit Arkut)

1

Map Coloring Puzzle (II)

Map Coloring Puzzle (II)

ICA2 (Ibrahim Cahit Arkut)

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A map coloring puzzle (I)

A map coloring puzzle (I)

ICA2 (Ibrahim Cahit Arkut)

1

Kittell's Graph

Kittell's Graph

ICA2 (Ibrahim Cahit Arkut)

2

Gerhard Ringel (1919-2008)

Gerhard Ringel (1919-2008)

ICA2 (Ibrahim Cahit Arkut)

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A few graph theorists and Istanbul's Bosphorus

A few graph theorists and Istanbul's Bosphorus

ICA2 (Ibrahim Cahit Arkut)

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My talk on short proof of the 4CT

My talk on short proof of the 4CT

ICA2 (Ibrahim Cahit Arkut)

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When two continents meet for the beauty

When two continents meet for the beauty

ICA2 (Ibrahim Cahit Arkut)

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My favourite sitcom

My favourite sitcom

ICA2 (Ibrahim Cahit Arkut)

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Coloring Puzzle

Coloring Puzzle

ICA2 (Ibrahim Cahit Arkut)

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Another S T A R G A T E

Another S T A R G A T E

ICA2 (Ibrahim Cahit Arkut)

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Non-three-colorable

Non-three-colorable

ICA2 (Ibrahim Cahit Arkut)

1

Christmas Graph

Christmas Graph

ICA2 (Ibrahim Cahit Arkut)

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Heawood et. al. (II)

Heawood et. al. (II)

ICA2 (Ibrahim Cahit Arkut)

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Heawood et. al. (I)

Heawood et. al. (I)

ICA2 (Ibrahim Cahit Arkut)

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From Three to Four Colors

From Three to Four Colors

ICA2 (Ibrahim Cahit Arkut)

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When three colors suffice ? (II)

When three colors suffice ? (II)

ICA2 (Ibrahim Cahit Arkut)

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When three colors suffice? (I)

When three colors suffice? (I)

ICA2 (Ibrahim Cahit Arkut)

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Breakthrough for the three coloring problem!

Breakthrough for the three coloring problem!

ICA2 (Ibrahim Cahit Arkut)

0

Implication of the Staircase Function

Implication of the Staircase Function

ICA2 (Ibrahim Cahit Arkut)

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Coloring Liechtenstein

Coloring Liechtenstein

ICA2 (Ibrahim Cahit Arkut)

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Chromatic Number of Liechtenstein

Chromatic Number of Liechtenstein

ICA2 (Ibrahim Cahit Arkut)

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Four Color Theorem

Four Color Theorem

ICA2 (Ibrahim Cahit Arkut)

1

Boomerang, Google Desktop Logo, Spiral Chain Coloring

ICA2 (Ibrahim Cahit Arkut)

1

Random Coloring Double-Spiral Pair

Random Coloring Double-Spiral Pair

ICA2 (Ibrahim Cahit Arkut)

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Concentration on the topic

Concentration on the topic

ICA2 (Ibrahim Cahit Arkut)

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Double-spiral Chain and Errera's Counter-example

Double-spiral Chain and Errera's Counter-example

ICA2 (Ibrahim Cahit Arkut)

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Double-spiral Coloring

Double-spiral Coloring

ICA2 (Ibrahim Cahit Arkut)

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Another 3-Colorable Planar Graph

Another 3-Colorable Planar Graph

ICA2 (Ibrahim Cahit Arkut)

1

A Case Study of 3-Colorable Planar Graphs

A Case Study of 3-Colorable Planar Graphs

ICA2 (Ibrahim Cahit Arkut)

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Stargate-4CT-The Milky Way

Stargate-4CT-The Milky Way

ICA2 (Ibrahim Cahit Arkut)

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S T A R G A T E - D O U B L E - S P I R A L

S T A R G A T E - D O U B L E - S P I R A L

ICA2 (Ibrahim Cahit Arkut)

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S T A R G A T E

S T A R G A T E

ICA2 (Ibrahim Cahit Arkut)

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STARGATE-4CT

ICA2 (Ibrahim Cahit Arkut)

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Shelling and coloring

Shelling and coloring

ICA2 (Ibrahim Cahit Arkut)

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Face-Edge Coloring of a Plane Bipartite Graph

Face-Edge Coloring of a Plane Bipartite Graph

ICA2 (Ibrahim Cahit Arkut)

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Coloring Ulam's Spiral

Coloring Ulam's Spiral

ICA2 (Ibrahim Cahit Arkut)

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Spiral Cycles

ICA2 (Ibrahim Cahit Arkut)

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Spiral Chain (Vertex) Coloring of the Mycielski and Grötzsch Graph

Spiral Chain (Vertex) Coloring of the Mycielski and Grötzsch Graph

ICA2 (Ibrahim Cahit Arkut)

1

Spiral Chain (Edge) Coloring the Mycielski and Grötzsch Graph

Spiral Chain (Edge) Coloring the Mycielski and Grötzsch Graph

ICA2 (Ibrahim Cahit Arkut)

1

Dancing with Conjectures

Dancing with Conjectures

ICA2 (Ibrahim Cahit Arkut)

3

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