#### Title

Food Webs as Interval Competition Graphs

#### Date

5-26-2016 10:45 AM

#### End Time

26-5-2016 11:00 AM

#### Location

MNB 104

#### Department

Mathematics

#### Session Chair

Matthew Nabity

#### Session Title

Mathematics Senior Project Presentations

#### Faculty Sponsor(s)

Breeann Flesch

#### Abstract

A food web is defined as an acyclic graph where vertices represent different species and there is a directed edge from species x to species y if species x preys on species y. Food webs are important in Biology because they model the flow of energy in an ecosystem. A competition graph has the same vertex set as a food web, but now two vertices are adjacent if they prey on a common species in the food web. Most of these competition graphs are interval graphs. Interval graphs are graphs where vertices can be represented as intervals of the real number line such that vertices are adjacent if and only if their intervals overlap. In this talk, we will explain these structures and their relationships with real examples from Biology.

#### Recommended Citation

Vincent, Kayla, "Food Webs as Interval Competition Graphs" (2016). *Academic Excellence Showcase Schedule*. 216.

http://digitalcommons.wou.edu/aes_event/2016/all/216

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Food Webs as Interval Competition Graphs

MNB 104

A food web is defined as an acyclic graph where vertices represent different species and there is a directed edge from species x to species y if species x preys on species y. Food webs are important in Biology because they model the flow of energy in an ecosystem. A competition graph has the same vertex set as a food web, but now two vertices are adjacent if they prey on a common species in the food web. Most of these competition graphs are interval graphs. Interval graphs are graphs where vertices can be represented as intervals of the real number line such that vertices are adjacent if and only if their intervals overlap. In this talk, we will explain these structures and their relationships with real examples from Biology.