Data · dataset · 2026
<p>Examples of -bidegreed graph families (a-f) and the size normalized sensitivity of their neutral fixation probabilities to , shown separately for each initial mutant location and evaluated at (g-j).</p>
Listed in ZivaHub and Deakin Research Online and DMU Figshare — shown once because both records carry DOI 10.1371/journal.pcbi.1014829.g003
<p>Vertices with degree <i>d</i><sub>1</sub> are represented as circles whereas vertices with degree are represented as squares.
Description
For the examples depicted, <i>d</i><sub>2</sub> is strictly greater than <i>d</i><sub>1</sub>, but it is also possible for per Definition 3.1. Let <i>n</i><sub>1</sub> denote the number of vertices with degree <i>d</i><sub>1</sub> and <i>n</i><sub>2</sub> denote the number of vertices with degree <i>d</i><sub>2</sub>, and set and .
The value is the fixation probability of a neutral mutant starting at a vertex <i>u</i> of degree , its derivative with respect to is denoted , and the sensitivity is . Panels <b>g–j</b> display the size normalized sensitivity evaluated at and . Normalizing by <i>N</i> makes the sensitivity a function of alone, since by Theorem S3 in the <a href="ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1014829#pcbi.1014829.s001" target="_blank">S1 Appendix</a> the sensitivity scales as 1/<i>N</i> at fixed .
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A graph of size <i>N</i> sitting at a plotted point therefore has sensitivity equal to the plotted value divided by <i>N</i>. <b>a,</b> a star graph, . The <i>n</i><sub>2</sub> = 1 center vertex has degree <i>d</i><sub>2</sub> = 6 while the <i>n</i><sub>1</sub> = 6 periphery vertices have degree <i>d</i><sub>1</sub> = 1 for a total of vertices. <b>b,</b> a path graph, . The intermediate vertices have degree 2 while the endpoint vertices have degree 1. <b>c,</b> a bipartite biregular graph; the vertices on the left side have degree <i>d</i><sub>2</sub> = 3 while the vertices on the right side have degree <i>d</i><sub>1</sub> = 2, for a total of <i>N</i> = 10 vertices. <b>d,</b> a fan graph .
The center vertex has degree 2<i>b</i> = 6, while each of the 2 vertices on each of the <i>b</i> = 3 blades has degree 2, for a total of <i>N</i> = 2<i>b</i> + 1 = 7 vertices. <b>e,</b> a wheel graph . The center vertex has degree <i>n</i> = 8 while the <i>n</i> vertices on the spoke ends have degree 3, for a total of <i>N</i> = <i>n</i> + 1 = 9 vertices. <b>f,</b> a book graph . Each of the <i>p</i> = 3 pages has 2 page corners with degree 2, and the 2 seam endpoints have degree <i>p</i> + 1, for a total of <i>N</i> = 2<i>p</i> + 2 = 8 vertices. <b>g,</b> A contour plot in the space, where both parameters are dimensionless.
The lines with shapes denote the values of and for the various bidegreed graphs in <b>a-f</b>. Note that the path graph has <i>n</i><sub>1</sub> = 2 and , so for . Thus as <i>N</i> increases, decreases.
The intensity of the colorbar denotes , <b>h,</b> , <b>i,</b> , and <b>j,</b> . Lighter colors indicate a larger sensitivity.</p>
Links
Where it is published
- DOI doi.org/10.1371/journal.pcbi.1014829.g003 ↗
DOI / persistent id · from zivahub uct ac za
Catalogue records · 1
- OAI-PMH record api.figshare.com/v2/oai?verb=GetRecord&metadataPrefix=oai_dc&identifier=oai%3Af… ↗
metadata API · from zivahub uct ac za
Topics
- From keywords
- Biochemistry and cell biology · Biochemistry and cell biology · Biochemistry and cell biology · Earth & Environmental Science · Earth & Environmental Science · Earth & Environmental Science · Ecology · Ecology · Ecology · Evolutionary biology · Evolutionary biology · Evolutionary biology · Infectious diseases · Infectious diseases · Infectious diseases · Life Sciences · Life Sciences · Life Sciences · Mathematics & Statistics · Mathematics & Statistics · Mathematics & Statistics · Medicine & Health · Medicine & Health · Medicine & Health · Research, science and technology policy · Research, science and technology policy · Research, science and technology policy · Social Science · Social Science · Social Science
Provenance · 3 source records, 35 field assertions
| Source | Key | Last seen | Raw |
|---|---|---|---|
| ZivaHub | oai:figshare.com:article/34036343 | 13 d ago | JSON v1 |
| Deakin Research Online | oai:figshare.com:article/34036343 | 13 d ago | JSON v1 |
| DMU Figshare | oai:figshare.com:article/34036343 | 13 d ago | JSON v1 |
| Field | Assertion | Extractor | Evidence |
|---|---|---|---|
| access_level | source · zivahub uct ac za | connector:zivahub_uct_ac_za@1.0.0 | |
| concepts[field].anzsrc:field:320211 | mapping · zivahub uct ac za | vocabulary-mapper@1.0.0 | keywords['Infectious Diseases'] |
| concepts[field].anzsrc:field:320211 | mapping · figshare dmu ac uk | vocabulary-mapper@1.0.0 | keywords['Infectious Diseases'] |
| concepts[field].anzsrc:field:320211 | mapping · dro deakin edu au | vocabulary-mapper@1.0.0 | keywords['Infectious Diseases'] |
| concepts[field].anzsrc:field:440710 | mapping · dro deakin edu au | vocabulary-mapper@1.0.0 | keywords['Science Policy'] |
| concepts[field].anzsrc:field:440710 | mapping · zivahub uct ac za | vocabulary-mapper@1.0.0 | keywords['Science Policy'] |
| concepts[field].anzsrc:field:440710 | mapping · figshare dmu ac uk | vocabulary-mapper@1.0.0 | keywords['Science Policy'] |
| concepts[field].anzsrc:group:3101 | mapping · dro deakin edu au | vocabulary-mapper@1.0.0 | keywords['Cell Biology'] |
| concepts[field].anzsrc:group:3101 | mapping · figshare dmu ac uk | vocabulary-mapper@1.0.0 | keywords['Cell Biology'] |
| concepts[field].anzsrc:group:3101 | mapping · zivahub uct ac za | vocabulary-mapper@1.0.0 | keywords['Cell Biology'] |
| concepts[field].anzsrc:group:3103 | mapping · zivahub uct ac za | vocabulary-mapper@1.0.0 | keywords['Ecology'] |
| concepts[field].anzsrc:group:3103 | mapping · figshare dmu ac uk | vocabulary-mapper@1.0.0 | keywords['Ecology'] |
| concepts[field].anzsrc:group:3103 | mapping · dro deakin edu au | vocabulary-mapper@1.0.0 | keywords['Ecology'] |
| concepts[field].anzsrc:group:3104 | mapping · zivahub uct ac za | vocabulary-mapper@1.0.0 | keywords['Evolutionary Biology'] |
| concepts[field].anzsrc:group:3104 | mapping · dro deakin edu au | vocabulary-mapper@1.0.0 | keywords['Evolutionary Biology'] |
| concepts[field].anzsrc:group:3104 | mapping · figshare dmu ac uk | vocabulary-mapper@1.0.0 | keywords['Evolutionary Biology'] |
| concepts[field].local:field:earth-environmental | mapping · figshare dmu ac uk | connector:figshare_dmu_ac_uk@1.0.0 | |
| concepts[field].local:field:earth-environmental | mapping · dro deakin edu au | connector:dro_deakin_edu_au@1.0.0 | |
| concepts[field].local:field:earth-environmental | mapping · zivahub uct ac za | connector:zivahub_uct_ac_za@1.0.0 | |
| concepts[field].local:field:life-sciences | mapping · zivahub uct ac za | connector:zivahub_uct_ac_za@1.0.0 | |
| concepts[field].local:field:life-sciences | mapping · figshare dmu ac uk | connector:figshare_dmu_ac_uk@1.0.0 | |
| concepts[field].local:field:life-sciences | mapping · dro deakin edu au | connector:dro_deakin_edu_au@1.0.0 | |
| concepts[field].local:field:mathematics-statistics | mapping · figshare dmu ac uk | connector:figshare_dmu_ac_uk@1.0.0 | |
| concepts[field].local:field:mathematics-statistics | mapping · zivahub uct ac za | connector:zivahub_uct_ac_za@1.0.0 | |
| concepts[field].local:field:mathematics-statistics | mapping · dro deakin edu au | connector:dro_deakin_edu_au@1.0.0 | |
| concepts[field].local:field:medicine-health | mapping · dro deakin edu au | connector:dro_deakin_edu_au@1.0.0 | |
| concepts[field].local:field:medicine-health | mapping · zivahub uct ac za | connector:zivahub_uct_ac_za@1.0.0 | |
| concepts[field].local:field:medicine-health | mapping · figshare dmu ac uk | connector:figshare_dmu_ac_uk@1.0.0 | |
| concepts[field].local:field:social-science | mapping · zivahub uct ac za | connector:zivahub_uct_ac_za@1.0.0 | |
| concepts[field].local:field:social-science | mapping · figshare dmu ac uk | connector:figshare_dmu_ac_uk@1.0.0 | |
| concepts[field].local:field:social-science | mapping · dro deakin edu au | connector:dro_deakin_edu_au@1.0.0 | |
| description | source · zivahub uct ac za | connector:zivahub_uct_ac_za@1.0.0 | /metadata/dc/description |
| license | source · zivahub uct ac za | connector:zivahub_uct_ac_za@1.0.0 | /metadata/dc/rights |
| publication_date | source · zivahub uct ac za | connector:zivahub_uct_ac_za@1.0.0 | |
| title | source · zivahub uct ac za | connector:zivahub_uct_ac_za@1.0.0 | /metadata/dc/title |