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pro vyhledávání: '"Allen J. Schwenk"'
Autor:
Allan Bickle, Allen J. Schwenk
Publikováno v:
Discussiones Mathematicae Graph Theory, Vol 39, Iss 2, Pp 605-608 (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 diameter 2 graphs with a nontrivial minimum edge cut.
Autor:
Allen J. Schwenk
Publikováno v:
The Mathematics of Various Entertaining Subjects
This chapter considers the problem of counting trees. Every connected graph G has a spanning tree, that is, a connected acyclic subgraph containing all the vertices of G. If G has no cycles, it is its own unique spanning tree. If G has cycles, we can
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c99d4f1993f002586d370187ce9bb2d
https://doi.org/10.2307/j.ctt1s4773q.16
https://doi.org/10.2307/j.ctt1s4773q.16
Autor:
Allen J. Schwenk
Publikováno v:
The Edge of the Universe. :152-155
Autor:
Bill Quan Yue, Allen J. Schwenk
Publikováno v:
Discrete Mathematics. 305:276-298
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 adjacent to no other vertex in S, or v is not in S but is adjacent from precisely one vert
Autor:
Allen J. Schwenk
Publikováno v:
Math Horizons. 20:10-12
Autor:
Allen J. Schwenk, Darren A. Narayan
Publikováno v:
Mathematics Magazine. 75:372-380
1. A. Ayoub, Triangles with the same centroid, this MAGAZINE 71 (1998), 221-224. 2. H. S. M. Coxeter, Introduction to Geometry, John Wiley, New York, 1961. 3. L. Hahn, Complex Numbers and Geometry, The Mathematical Association of America, Washington
Autor:
Allen J. Schwenk
Publikováno v:
The American Mathematical Monthly. 107:140-150
(2000). What Is the Correct Way to Seed a Knockout Tournament? The American Mathematical Monthly: Vol. 107, No. 2, pp. 140-150.
Autor:
Allen J. Schwenk
Publikováno v:
The College Mathematics Journal. 30:112-117
Allen Schwenk (schwenk@wmich.edu) received his bachelor's degree in mathematics from Caltech where he won the E. T. Bell Undergraduate Research Prize. He earned his Ph.D. degree at the University of Michigan. Before coming to Western Michigan Univers
Autor:
Allen J. Schwenk
Publikováno v:
Mathematics Magazine. 71:195-200
(1998). The Steady State Sabbatical Rate. Mathematics Magazine: Vol. 71, No. 3, pp. 195-200.