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CATEGORIES:Lectures & Guest Speakers
DESCRIPTION:Speaker: Ariel Cook\, Auburn University\n\nTitle: “Colorings of
Graphs with Reference to Other Graphs”\n\nAbstract: Suppose that G and H a
re (finite\, simple) graphs on the same vertex set V. A (proper) G-coloring
of H is an assignment to each vertex v of an element of NG(v) so that vert
ices adjacent in H are assigned different vertices. A G-coloring of G is a
self-coloring of G. A Gc-coloring of G is an anti-self-coloring of G. Numer
ous questions arise\, some of which will be reported on in this talk. These
questions all descend from an ancestral question\, posed by Steve Hedetnie
mi: For which graphs G does the indexed family of open neighborhoods in G o
f G’s vertices have a system of distinct representatives? Clearly such an S
DR would constitute a G-coloring of the complete graph on V(G). Hedetniemi’
s question was satisfactorily answered in 2018\, by Hedetniemi\, Holliday\,
and Johnson\, but its position in the wider context introduced here was no
t realized until recently. The talk is based on joint work with Sarah Holli
day and Peter Johnson. \n\n \n\nThe Discrete Math Seminar (DMS) is intended
for Kennesaw State faculty working in the various areas of algebra\, numbe
r theory\, and discrete mathematics to get together to discuss their curren
t work or related questions. Seminars often involve advanced mathematical k
nowledge. However\, the seminars are open to anyone who is interested in at
tending.
DTEND:20230330T203000Z
DTSTAMP:20231205T124040Z
DTSTART:20230330T193000Z
GEO:33.935805;-84.519573
LOCATION:Mathematics Building\, D-117
SEQUENCE:0
SUMMARY:Discrete Math Seminar (DMS)
UID:tag:localist.com\,2008:EventInstance_42713873487451
URL:https://calendar.kennesaw.edu/event/discrete_math_seminar_dms_604
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