Tight product and semi coloring of graphs
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Tight product and semi-coloring of graphs. Masaru Kamada Tokyo University of Science Graph Theory Conference i n honor of Yoshimi Egawa on the occasion his 60 th birthday September 10-14, 2013. In this talk, all graphs are finite, undirected and allowed multiple edges without loops.

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Tight product and semi-coloring of graphs

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Tight product and semi-coloring of graphs

Masaru Kamada

Tokyo University of Science

Graph Theory Conference

in honor of Yoshimi Egawa on the occasion his 60th birthday

September 10-14, 2013


  • In this talk, all graphs are finite, undirected and allowed multiple edges without loops.

Multiple edges

No loops


Example


The main result


Almost regular graph


Outline of proof of Lemma 2


Outline of proof of Lemma 3


Example of case II


Example of subcase II-ii


Tight product


Example

25


Example

26


The existence of the tight product(1)


The existence of the tight product (2)


Thank you for your attention


Proper-edge-coloring


Classification of simple graphs


Example

Class-1

Class-2

2

5

4

1

1

3

2

4

5

1

3

3

3

1

2

2


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