meta user
network profile
| bio | website | 4coloring.wordpress.com |
|---|---|---|
| location | Rome, Italy | |
| age | 44 | |
| visits | member for | 2 years, 1 month |
| seen | yesterday | |
| stats | profile views | 54 |
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Jun 1 |
awarded | Teacher |
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Jun 1 |
answered | Publishing elementary proofs of theorems |
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May 30 |
revised |
Is value of $\pi = 4$? added 358 characters in body |
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May 30 |
answered | Is value of $\pi = 4$? |
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May 21 |
answered | Interesting properties for numbers 1-20? |
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May 19 |
awarded | Scholar |
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May 19 |
accepted | Circle packing representation of a given graph |
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May 19 |
revised |
Circle packing representation of a given graph added 264 characters in body |
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May 17 |
awarded | Supporter |
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May 16 |
asked | Circle packing representation of a given graph |
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Apr 13 |
awarded | Editor |
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Apr 13 |
revised |
How many different four coloring exist for a given regular map? added 235 characters in body |
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Apr 7 |
comment |
How many different four coloring exist for a given regular map? In other words, for example, for maps with hundreds of faces, once a map has been properly four colored, I don't want to count all other colorings that derive from subsequent exchanges of colors. My doubt is how many "different" (in the meaning I explained) coloring exist for a given map? Is there a study on this that can help me? |
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Apr 4 |
comment |
How many different four coloring exist for a given regular map? For what I'm trying to analyze, K4 has to be regarded as having just one possible coloring. In your K4 example, after the graph has been colored, through subsequent exchanges of colors, each K4 copy can be converted to any other. See this picture: 4coloring.wordpress.com/plus/k4-and-different-four-colorings. In other words, since when coloring K4 vertexes, colors can be choosen arbitrarily, any four coloring is equivalent. For more complex maps swapping colors won't help. I'd like to understand how this is related to the shape of the map. I want to add this tool to my java application. |
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Apr 3 |
awarded | Student |
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Apr 3 |
asked | How many different four coloring exist for a given regular map? |
