J
Jack E. Graver
Researcher at Syracuse University
Publications - 50
Citations - 1045
Jack E. Graver is an academic researcher from Syracuse University. The author has contributed to research in topics: Fullerene & Planar graph. The author has an hindex of 13, co-authored 49 publications receiving 983 citations. Previous affiliations of Jack E. Graver include Dartmouth College & Purdue University.
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The groups of the generalized Petersen graphs
TL;DR: In this paper, the generalized Petersen graph G(n, k) was defined for integers n and k with 2 ≤ 2k < n, and G(5, 2) is the well known Petersen graph.
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Mean distance in a graph
J. K. Doyle,Jack E. Graver +1 more
TL;DR: Borders for μ(Γ) are computed in terms of the number of vertices in Γ and the diameter of Γ to prove a formula for computing μ( Γ) whenΓ is a tree which is particularly useful when Γ has a high degree of symmetry.
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On the foundations of linear and integer linear programming I
TL;DR: This paper gives a precise definition for sets of vectors, called test sets, which will include those sets described above arising in the simplex and flow algorithms, and proves that any “improvement process” which searches through a test set at each stage converges to an optimal point in a finite number of steps.
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Some graph theoretic results associated with Ramsey's theorem*
TL;DR: The purpose is to give a unified development of enumerative techniques which give sharp upper bounds on Ramsey's theorem numbers and to give constructive methods for partitions to determine lower bounds on these numbers.
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The module structure of integral designs
Jack E. Graver,W.B Jurkat +1 more
TL;DR: The existence problem for t-designs with prescribed parameters is solved by allowing positive and negative integral multiplicities for the blocks.