Search Results - "Schwenk, Allen"
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Minimum Edge Cuts in Diameter 2 Graphs
Published in Discussiones Mathematicae. Graph Theory (01-05-2019)“…Plesnik proved that the edge connectivity and minimum degree are equal for diameter 2 graphs. We provide a streamlined proof of this fact and characterize the…”
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Corrigendum to "Minimum edge cuts in diameter 2 graphs"
Published in Discussiones Mathematicae. Graph Theory (23-09-2023)Get full text
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Efficient dominating sets in labeled rooted oriented trees
Published in Discrete mathematics (06-12-2005)“…An oriented graph G → is said to have an efficient dominating set S if S is a set of vertices of G → and for each vertex v of G → , either v is in S and v is…”
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An Unanticipated Decimal Expansion
Published in Math horizons (01-09-2012)“…They have been spotted in pinecones and snail shells, but just how did the Fibonacci numbers manage to weasel their way into the decimal representation of a…”
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Irrational Roots of Integers
Published in The College mathematics journal (01-01-2005)“…Khazad and Schwenk discuss the irrational roots of integers…”
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What is the Correct Way to Seed a Knockout Tournament?
Published in The American mathematical monthly (01-02-2000)“…In an elimination tournament, also called a knockout tournament, teams play head-to-head matches with the loser eliminated from further competition and the…”
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A Polynomial with a Root Mod m for Every m
Published in The College mathematics journal (01-11-2000)“…Using the Chinese Remainder Theorem, Schwenk addresses whether when there is no integer root, it may still be possible to a have a root mod "m" for every "m."…”
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Several Sets of n + 1 Shapes, Each the Similitude Union of the Other n
Published in The College mathematics journal (01-03-1999)“…Schwenk examines the mathematics of a collection of three different planar shapes in which each is the union of shapes similar to the other two…”
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P. G. O. M
Published in The American mathematical monthly (01-04-1989)“…A poem is presented…”
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Distortion of Average Class Size: The Lake Wobegon Effect
Published in The College mathematics journal (01-09-2006)“…There is a distorting phenomenon that occurs when computing average class sizes that need to be widely circulated. Namely, the average reported by the…”
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The spectral approach to determining the number of walks in a graph
Published in Pacific journal of mathematics (01-01-1979)Get full text
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What is the Correct Way to Seed a Knockout Tournament?
Published in The American mathematical monthly (01-02-2000)Get full text
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The Steady State Sabbatical Rate
Published in Mathematics magazine (01-06-1998)“…The solution to how many faculty at a research university are likely to go on sabbatical at any given time depends upon two modest assumptions and knowledge of…”
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Which Rectangular Chessboards Have a Knight's Tour?
Published in Mathematics magazine (01-12-1991)“… The full solution of the knight's tour problem, a problem involving the spanning tours by a knight on various rectangular chessboards, is quite brief and…”
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Comparing ,{},{{}}, etc
Published in The College mathematics journal (01-05-2002)Get full text
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Comparing 0, {0}, {{0}}, etc
Published in The College mathematics journal (01-05-2002)“…A problem that helps students in explaining the difference between the empty set 0 and the set whose element is the empty set {0} and the set whose element is…”
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Comparing $\emptyset,\{\emptyset \},\{\{\emptyset \}\}$, etc
Published in The College mathematics journal (01-05-2002)Get full text
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Maximizing the Probability of a Big Sweepstakes Win
Published in The College mathematics journal (01-01-2007)“…This article explores the question, "When should you mail in your entries to a sweepstakes in order to have the best chance of winning?"…”
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A Polynomial with a Root Mod m for Every m
Published in The College mathematics journal (01-11-2000)Get full text
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Remarks on Problem B-3 on the 1990 William Lowell Putnam Mathematical Competition
Published in Mathematics magazine (01-02-1994)“… Remarks on problem B-3 on the 1990 William Lowell Putnam Mathematical Competition are presented…”
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