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feat: Colors alternate in a bicolored path#9131

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IvanRenison wants to merge 62 commits intomasterfrom
IvanRenison_pathGraphInBipartite
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feat: Colors alternate in a bicolored path#9131
IvanRenison wants to merge 62 commits intomasterfrom
IvanRenison_pathGraphInBipartite

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@IvanRenison
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@IvanRenison IvanRenison commented Dec 17, 2023

Add the theorem pathGraph_G_Hom_coloring saying that if a graph has a homorphism from a pathGraph then the colors alternate in the path.
Specifically, the theorem ask for the first element of the path to be colored by true, and in the pathGraph_G_Hom_coloring' it ask for the first element to be colored by false.


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I plan to use this theorems for (first) defining a cyclic graph and then proving it's chromatic number (in particular I will use this theorems for the odd case of the cyclic graph)

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IvanRenison commented Dec 27, 2023

Very good suggestions, thank you very much, I will apply them.
Are you going to add more comments or did you forgot to change the label to awaiting-author?

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The labels are loosely used (they are mostly there for when the PR has been without activity for some time), but yes I can mark it awaiting-author.

@YaelDillies YaelDillies added awaiting-author A reviewer has asked the author a question or requested changes. t-combinatorics Combinatorics and removed awaiting-review labels Dec 27, 2023
@IvanRenison IvanRenison added awaiting-review and removed awaiting-author A reviewer has asked the author a question or requested changes. labels Dec 27, 2023
@IvanRenison IvanRenison added awaiting-review and removed awaiting-author A reviewer has asked the author a question or requested changes. labels Feb 16, 2024
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Hi @kmill, as this pull request has become big, and I guess that difficult to review because of that, maybe it will be better if I split it in smaller pull requests? So that it is easier to review

@IvanRenison IvanRenison added the new-contributor This PR was made by a contributor with at most 5 merged PRs. Welcome to the community! label Mar 6, 2024
@ghost ghost added blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) and removed blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) labels Mar 29, 2024
@IvanRenison IvanRenison added WIP Work in progress and removed awaiting-review labels Mar 29, 2024
@IvanRenison IvanRenison added the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Mar 30, 2024
@ghost ghost removed the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Apr 18, 2024
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ghost commented Apr 18, 2024

@ghost ghost added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Apr 18, 2024
@ghost ghost removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label May 24, 2024
@YaelDillies YaelDillies deleted the IvanRenison_pathGraphInBipartite branch August 18, 2025 07:21
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4 participants