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2-odd Graphs and Prime Distance Graphs

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Abstract:

A graph $G$ is a {\bf prime-distance graph} if the vertices can be labeled with distinct integers in such a way that the differences between the labels on adjacent vertices are all prime. A graph is {\bf 2-odd} if the differences are either exactly 2 or odd. We present a characterization of 2-odd graphs and a family of 2-odd circulant graphs. We also offer a conjecture relating prime distance graphs and 2-odd graphs.
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Association:
Name: The Mathematical Association of America MathFest
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http://www.maa.org


Citation:
URL: http://www.allacademic.com/meta/p377971_index.html
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MLA Citation:

Starr, Colin. and Laison, Josh. "2-odd Graphs and Prime Distance Graphs" Paper presented at the annual meeting of the The Mathematical Association of America MathFest, Aug 06, 2009 <Not Available>. 2009-08-10 <http://www.allacademic.com/meta/p377971_index.html>

APA Citation:

Starr, C. and Laison, J. , 2009-08-06 "2-odd Graphs and Prime Distance Graphs" Paper presented at the annual meeting of the The Mathematical Association of America MathFest <Not Available>. 2009-08-10 from http://www.allacademic.com/meta/p377971_index.html

Publication Type: Conference Paper/Unpublished Manuscript
Review Method: Peer Reviewed
Abstract: A graph $G$ is a {\bf prime-distance graph} if the vertices can be labeled with distinct integers in such a way that the differences between the labels on adjacent vertices are all prime. A graph is {\bf 2-odd} if the differences are either exactly 2 or odd. We present a characterization of 2-odd graphs and a family of 2-odd circulant graphs. We also offer a conjecture relating prime distance graphs and 2-odd graphs.

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Associated Document Available The Mathematical Association of America MathFest


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