Get Published: Steps for Undergrads w/ Math Discovery

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To explore a potentially original discovery in graph theory, the recommended first step is to consult a knowledgeable professor in the field. It's essential to approach the conversation with humility, being open to the possibility that the idea may not be new or may not hold significant value. In addition to direct discussions with faculty, utilizing resources like Google Scholar and the AMS MathSciNet database can help verify the originality of the discovery. Browsing online journal tables of contents and visiting the university library can also provide valuable insights and access to relevant literature. Even if the concept is already known, it may still contribute to further research or educational methods.
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I have discovered something in mathematics (related to graph theory) that seems interesting and as far as I know (some google searches + asking around on IRC) it may be original. What steps do I take now? As an undergrad I have access to professors. So I figure I would approach a professor I know who does graph theory and ask him if he's ever heard of something like this. Is this the best plan?
 
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Yes, that's the best plan. But- use humility when explaining your idea. Don't get upset if it was discovered 800 years ago, or if you're wrong, or if the result is useless.
 
You can ask your professors.
You can also...
Search http://scholar.google.com and the http://www.ams.org/mathscinet/ database.
Visit the table-of-contents pages of relevant online journals (where you might publish this) to browse titles and abstracts. Your school may have access to the full-text articles.

You might also benefit from a trip to the university library (QA xxx).

Even if it is known, your method might have additional value [for further research or for pedagogy].
 
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