Advanced search
Publication Cover
Linear and Multilinear Algebra Volume 67, 2019 - Issue 5
Submit an article Journal homepage
233
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Harmonic cycles for graphs

Younng-Jin KimDepartment of Mathematical Sciences, Seoul National University, Seoul, the Republic of Korea.View further author information
&
Woong KookDepartment of Mathematical Sciences, Seoul National University, Seoul, the Republic of Korea.Correspondence[email protected]
View further author information
Pages 965-975 | Received 18 Oct 2017, Accepted 08 Feb 2018, Published online: 20 Feb 2018

References

  • Friedman J . Computing Betti numbers via combinatorial Laplacians. In: Proceedings of 28th Annual ACM Symposium on the Theory of Computing. New York (NY): ACM; 1996. p. 386–391.
  • Catanzaro MJ . A topological study of stochastic dynamics on CW complexes [dissertations]. Wayne State University; 2016.
  • Nerode A , Shank H . An algebraic proof of Kirchhoff’s network theorem. Am Math Monthly. 1961;68(3):244–247.
  • Biggs N . Algebraic graph theory. 2nd ed. Cambridge: Cambridge University Press; 1993.
  • Bondy JA , Murty USR . Graph theory. Vol. 244, Graduate texts in mathematics. London: Springer; 2008.
  • Kenyon R . Spanning forests and the vector bundle Laplacian. Ann Probab. 2011;39(5):1983–2017.
  • Hatcher A . Algebraic topology. Cambridge: Cambridge University Press; 2001.
  • Munkres JR . Elements of algebraic topology. Reading (MA): Addison-Wesley; 1984.
  • Oxley J . Matroid theory. Oxford: Oxford University Press; 1992.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.