CrossRef
Open Access
2024
1 sitasi
Nonisomorphic two‐dimensional algebraically defined graphs over R <math xmlns="http://www.w3.org/1998/Math/MathML" altimg="urn:x-wiley:03649024:media:jgt23161:jgt23161-math-0001" wiley:location="equation/jgt23161-math-0001.png"><mrow><mrow><mi mathvariant="double-struck">R</mi></mrow></mrow></math>
Brian G. Kronenthal
Joe Miller
Alex Nash
Jacob Roeder
Hani Samamah
+1 lainnya
Abstrak
AbstractFor , let be a two‐dimensional algebraically defined graph, that is, a bipartite graph where each partite set is a copy of and two vertices and are adjacent if and only if . It is known that has girth 6 and can be extended to the point‐line incidence graph of the classical real projective plane. However, it was unknown whether there exists such that has girth 6 and is nonisomorphic to . This paper answers this question affirmatively and thus provides a construction of a nonclassical real projective plane. This paper also studies the diameter and girth of for families of bivariate functions .
Penulis (6)
B
Brian G. Kronenthal
J
Joe Miller
A
Alex Nash
J
Jacob Roeder
H
Hani Samamah
T
Tony W. H. Wong
Format Sitasi
Kronenthal, B.G., Miller, J., Nash, A., Roeder, J., Samamah, H., Wong, T.W.H. (2024). Nonisomorphic two‐dimensional algebraically defined graphs over R <math xmlns="http://www.w3.org/1998/Math/MathML" altimg="urn:x-wiley:03649024:media:jgt23161:jgt23161-math-0001" wiley:location="equation/jgt23161-math-0001.png"><mrow><mrow><mi mathvariant="double-struck">R</mi></mrow></mrow></math>. https://doi.org/10.1002/jgt.23161
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2024
- Bahasa
- en
- Total Sitasi
- 1×
- Sumber Database
- CrossRef
- DOI
- 10.1002/jgt.23161
- Akses
- Open Access ✓