| Infinite Graphs in Systematic Biology, with an Application to the Species Problem. | |
| | |
MedLine Citation:
|
PMID: 23297024 Owner: NLM Status: Publisher |
Abstract/OtherAbstract:
|
We argue that C. Darwin and more recently W. Hennig worked at times under the simplifying assumption of an eternal biosphere. So motivated, we explicitly consider the consequences which follow mathematically from this assumption, and the infinite graphs it leads to. This assumption admits certain clusters of organisms which have some ideal theoretical properties of species, shining some light onto the species problem. We prove a dualization of a law of T. A. Knight and C. Darwin, and sketch a decomposition result involving the internodons of D. Kornet, J. Metz and H. Schellinx. A further goal of this paper is to respond to B. Sturmfels' question, "Can biology lead to new theorems?" |
| | |
Authors:
|
Samuel A Alexander |
Related Documents
:
|
23732274 - Authorreward: increasing community curation in biological knowledge wikis through autom... 21155914 - Representation of people with intellectual disabilities in randomised controlled trials... 23242624 - Prospective associations of internalizing and externalizing problems and their co-occur... 23656274 - Speech, communication and use of augmentative communication in young people with cerebr... 18999364 - Exhaustive enumeration unveils clustering and freezing in the random 3-satisfiability p... 8822154 - An information processing view of framing effects: the role of causal schemas in decisi... |
Publication Detail:
|
Type: JOURNAL ARTICLE Date: 2013-1-8 |
Journal Detail:
|
Title: Acta biotheoretica Volume: - ISSN: 1572-8358 ISO Abbreviation: Acta Biotheor. Publication Date: 2013 Jan |
Date Detail:
|
Created Date: 2013-1-8 Completed Date: - Revised Date: - |
Medline Journal Info:
|
Nlm Unique ID: 0421520 Medline TA: Acta Biotheor Country: - |
Other Details:
|
Languages: ENG Pagination: - Citation Subset: - |
Affiliation:
|
Department of Mathematics, The Ohio State University, Columbus, OH, USA, alexander@math.ohio-state.edu. |
Export Citation:
|
APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
|
|
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
Previous Document: Materiomics: An -omics Approach to Biomaterials Research.
Next Document: Health-Related Quality of Life in Patients with Oesophageal Cancer: Analysis at Different Steps of t...