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VERSION:2.0
CALSCALE:GREGORIAN
PRODID:iCalendar-Ruby
BEGIN:VEVENT
CATEGORIES:Lecture/Seminar
DESCRIPTION:Dept. of Mathematical and Statistical Sciences Fall 2021 Semina
r Series Presents\n\n \n\nDr. James Shook\n\nSecurity Components and Mechan
isms Group\, NIST\n\n \n\nWHEN: Monday January 31st\, 2022\, from 11:00am t
o noon\n\n \n\nTITLE: On a conjecture that strengthens the $k$-factor case
of Kundu's $k$-factor Theorem\n\n \n\nABSTRACT: An non-negative sequence of
integers $\pi=(d_{1}\,\ldots\,d_{n})$ is said to be\ngraphic if there exis
ts a graph $G=(V\,E)$\, called a realization of $\pi$\, with\n$V=\{v_{1}\,\
ldots\, v_{n}\}$ such that $v_{i}\in V$ has $d_{i}$ neighbors in\n$G$. In
1974\, Kundu showed that for even $n$ if $\pi=(d_{1}\,\ldots\,d_{n})$ is a\
nnon-increasing graphic sequence such that $(d_{1}-k\,\ldots\,d_{n}-k)$ is
graphic\,\nthen some realization of $\pi$ has a $k$-factor. In 1978\, Brual
di and then Busch\net al.\\, in 2012\, conjectured that not only is there a
$k$-factor\, but there is\n$k$-factor that can be partitioned into $k$ edg
e-disjoint $1$-factors. We will\ndiscuss this conjecture and present some n
ew supporting results.
DTEND:20220131T190000Z
DTSTAMP:20220521T015800Z
DTSTART:20220131T180000Z
GEO:39.746661;-105.002324
LOCATION:Student Commons Building\, 4017
SEQUENCE:0
SUMMARY:On a conjecture that strengthens the $k$-factor case of Kundu's $k$
-factor Theorem\, \, a seminar in the Department of Mathematical and Statis
tical Sciences
UID:tag:localist.com\,2008:EventInstance_38845998538348
URL:https://calendar.ucdenver.edu/event/on_a_conjecture_that_strengthens_th
e_k-factor_case_of_kundus_k-factor_theorem_a_seminar_in_the_department_of_m
athematical_and_statistical_sciences
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