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Selected Works of Daniel Gray

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Assistant Professor

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Daniel Gray is a Assistant Professor in the College of Science and Mathematics, Department of Mathematical Sciences on the Statesboro Campus of Georgia Southern University.

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About Daniel Gray

Daniel Gray is a Assistant Professor in the College of Science and Mathematics, Department of Mathematical Sciences on the Statesboro Campus of Georgia Southern University.

Positions

Present	Faculty Member, Georgia Southern University ‐ Department of Mathematical Sciences
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Curriculum Vitae

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Disciplines

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Mathematical sciences

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Honors and Awards

Honors and Awards

Outstanding Graduate Student Award (May 2010)
Alumni Fellowship (Aug 2010 - 2014)

Courses

Calculus I
Elementary Differential Equations
Hybrid College Algebra
College Algebra
Trigonometry

Education

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2010 - 2015	Ph.D. in Mathematics, University of Florida
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2003 - 2008	B.S. in Mathematics, Augusta State University
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Links

Georgia Southern Directory
LinkedIn
Meritpages

Contact Information

P.O. Box 8093

Statesboro, GA 30460-8044

Phone: (912) 478-1563

Office: MP1012C

Email:

ORCID

http://orcid.org/0000-0003-0520-7863

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Publications
Presentations

Publications (7)

Note on Superpatterns

Daniel Gray and Hua Wang

Given a set P of permutations, a P-superpattern is a permutation that contains every permutation in P as a pattern. ...

Bounds on Superpatterns Containing all Layered Permutations

Graphs and Combinatorics (2015)

In the study of pattern containment, a kk -superpattern is a permutation which contains all k!k! permutations of length kk ...

The Number of Subtrees of Trees with Given Degree Sequence

Journal of Graph Theory (2013)

Xiu-Mei Zhang, Xiao-Dong Zhang, Daniel Gray and Hua Wang

This article investigates some properties of the number of subtrees of a tree with given degree sequence. These results are ...

Cycles, the Degree Distance, and the Wiener Index

Open Journal of Discrete Mathematics (2012)

Daniel Gray and Hua Wang

The degree distance of a graph G is D'(G)=(1/2)∑ni=1∑nj=1(di+dj)Li ,j, where di and dj are the degrees of vertices vi, ...

The Number of Subtrees of Trees with Given Degree Sequence

Journal of Graph Theory (2012)

Xiu-Mei Zhang, Xiao-Dong Zhang, Daniel Gray and Hua Wang

This paper investigates some properties of the number of subtrees of a tree with given degree sequence. These results are ...

Trees with the Most Subtrees: An Algorithmic Approach

Journal of Combinatorics (2012)

Daniel Gray, Hua Wang, Xiao-Dong Zhang and Xiu-Mei Zhang

When considering the number of subtrees of trees, the extremal structures which maximize this number among binary trees and trees ...

On the Randić Index and Extremal Cacti

Congressus Numerantium (2009)

Hua Wang and Daniel Gray

The Randić index of a graph G is the sum of ((d(u))(d(v))) α over all edges uv of G, where ...

Presentations (8)

Plane Binary Trees and Superpatterns for Layered Permutations

Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS) (2016)

Let P be a set of permutation patterns. If τ is a permutation that contains every element of P as ...

Superpatterns and Generalizations of Layered Permutations

Midwestern Conference on Combinatorics and Combinatorial Computing (MCCCC) (2015)

Daniel Gray, Matthew R. Just and Hua Wang

In the study of permutation patterns, superpatterns are permutations that contain many patterns at least once. For a set P ...

Introduction to Superpatterns

Georgia Southern University Mathematics Colloquium (2015)

In the Combinatorics of permutations, patterns describe how a smaller permutation can be 'contained' in a larger permutation. There has ...

Superpatterns and Generalizations of Layered Permutations

Discrete Math Seminar (2015)

In the study of permutation patterns, superpatterns are permutations that contain many patterns at least once. For a set P ...

Superpatterns Containing Special Subsets of Permutations

Graduate Mathematics Association Colloquium, University of Florida (2014)

Pattern containment is a concept for how a permutation can be contained in a larger permutation, and arises naturally in ...

Superpatterns Containing Special Subsets of Permutations

Georgia Southern University Mathematics Colloquium (2014)

Pattern containment is a concept for how a permutation can be contained in a larger permutation, and arises naturally in ...

Bounds on Superpatterns Containing All Layered Permutations

Joint Mathematics Meeting (JMM) (2014)

In the study of pattern containment, a k-superpattern is a permutation which contains all k! permutations of length k as ...

Simple Permutations, Alternating Permutations, and the Superpatterns that Contain Them

Combinatorics Seminar, University of Florida (2014)

Abstract not available.

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