Talks and Presentations
The list below contains an incomplete list of my talks and presentations, organized by type. Links in some entries point to PDF files of slides and conference or organization webpages. To read more about results described in the talks, visit my publications page.
Research talks
- June 14, 2022, SIAM Conference on Discrete Mathematics (DM22), Carnegie Mellon University, Pittsburgh, PA. "Cliques in realization graphs of degree sequences." Slides available by request (PDF, 0.99MB)
- March 25, 2022, Discrete Mathematics Seminar, URI (held virtually). "Cliques in the realization graph of a degree sequence." Slides available by request (PDF, 981KB)
- March 8, 2022, Special Session on Graph Reconfiguration, 53rd Southeastern Conference on Combinatorics, Graph Theory & Computing (Florida Atlantic University, Boca Raton, FL; delivered virtually). "Cliques in the realization graph of a degree sequence." Slides available by request (PDF, 906KB)
- October 15, 2021, Discrete Mathematics Seminar, URI (held virtually). "The Erdős-Gallai differences of a degree sequence." Slides available by request (PDF, 723KB)
- October 8, 2021, New York Combinatorics Seminar (held virtually), "The Erdős-Gallai differences of a degree sequence." Slides (PDF, 722KB)
- June 5, 2021, MAA Northeastern Section Spring Meeting (held virtually), "Erdős-Gallai differences and complementary degree sequences of graphs." Slides available by request (PDF, 482KB)
- May 27, 2021, CanaDAM 2021 (held virtually) "Unigraphs and hereditary graph classes." Slides available by request (PDF, 937KB)
- March 9, 2021, 52nd Southeastern International Conference on Combinatorics, Graph Theory and Computing (held virtually) "Distinguishing chromatic number of circulant graphs." Slides available by request (PDF, 937KB)
- October 16, 2020, Discrete Math Seminar (Illinois Institute of Technology, Chicago, IL, delivered virtually) "Unigraphs and hereditary graph classes." Slides available by request (PDF, 1.29MB)
- March 12, 2020, 51st Southeastern International Conference on Combinatorics, Graph Theory & Computing (Florida Atlantic University, Boca Raton, FL) "Characterizing graphs with few trivial characteristic ideals." Slides available by request (PDF, 385KB)
- February 7, 2020, Logic & Discrete Math Seminar (Wesleyan University, Middletown, CT) "Fractional realizations of degree sequences and score sequences." Slides available by request (PDF, 1.98MB)
- January 17, 2020, Discrete Math Seminar (Brigham Young University, Provo, UT) "Characterizing graphs with few trivial characteristic ideals." Slides available by request (PDF, 1.23MB)
- November 23, 2019, MAA Northeastern Section Fall Meeting (Babson College, Wellesley, MA) "Graphs with few trivial characteristic ideals." Slides available by request (PDF, 385KB)
- November 8, 2019, Discrete Mathematics Seminar, URI. "Characterizing graphs with nice matrix cokernels." Slides available by request (PDF, 458KB)
- October 12, 2019, 33rd Midwest Conference on Combinatorics, Cryptography, and Computing (Rochester Institute of Technology, Rochester, NY). "Degree-based iterative construction of graphs." Slides available by request (PDF, 448KB)
- May 31, 2019, MAA Northeastern Section Spring Meeting (Fitchburg State University, Fitchburg, MA). "Higher connectivities for realization graphs." Slides available by request (PDF, 1.1MB)
- March 22, 2019, Discrete Mathematics Seminar, URI. "Higher connectivities for realization graphs." Slides available by request (PDF, 1.18MB)
- March 4, 2019, 50th Southeastern International Conference on Combinatorics, Graph Theory & Computing (Florida Atlantic University, Boca Raton, FL). "Connectivity in realization graphs." Slides available by request (PDF, 982KB)
- November 2, 2018, Discrete Mathematics Seminar, URI. "Connecting induced subgraphs and the adjacency spectrum of a graph." Slides available by request (PDF, 528KB)
- September 14, 2018, New York Combinatorics Seminar (The City University of New York, New York, NY). "Trends toward the top of the dominance order." Slides available by request (PDF, 1.4MB)
- July 14, 2018, Summer Combo in Vermont (St. Michael's College, Colchester, VT). "Induced subgraphs forced by the adjacency spectrum." Slides available by request (PDF, 309KB)
- June 8, 2018, SIAM Conference on Discrete Mathematics (University of Colorado, Denver, Denver, CO). "Hereditary families and the dominance order." Slides (PDF, 717KB)
- May 5, 2018, Discrete Math Days of the Northeast Spring 2018 (University of New England, Biddeford, ME). "What lies above: Degree sequences near the top of the dominance order." Slides available by request (PDF, 1.36MB)
- March 7, 2018, 49th Southeastern International Conference on Combinatorics, Graph Theory & Computing (Florida Atlantic University, Boca Raton, FL). "Towards spectral characterizations of hereditary graph classes." Slides (PDF, 309KB)
- January 6, 2018, 2018 International Workshop on Graph Theory (Ewha Womans University, Seoul, Korea). "Looking upward in the dominance order." Slides available by request (PDF, 752KB)
- November 3, 2017, Discrete Mathematics Seminar, URI. "Independence number and the Havel-Hakimi residue." Slides (PDF, 472KB)
- June 3, 2017, MAA Northeastern Section Spring Meeting (Norwich University, Northfield, VT). "Uniqueness in tree-depth labelings of graphs." Slides (PDF, 301KB)
- April 5, 2017, VCU Discrete Mathematics Seminar (Virginia Commonwealth University, Richmond, VA). "Erdős-Gallai near-equalities and the graphs that exhibit them." Slides (PDF, 1269KB)
- March 8, 2017, 48th Southeastern International Conference on Combinatorics, Graph Theory & Computing (Florida Atlantic University, Boca Raton, FL). "Graphs with low Erdős-Gallai differences." Slides (PDF, 672KB)
- January 6, 2017, Joint Mathematics Meetings (Atlanta, GA). "Uniqueness in labelings of tree-depth-critical graphs." Slides (PDF, 289KB)
- November 19, 2016, MAA Northeastern Section Fall Meeting (Trinity College, Hartford, CT). "A Strong Havel-Hakimi Property for Graphs."
- October 14, 2016, Discrete Mathematics Seminar, URI. "Dense graphs and a conjecture for tree-depth." Slides (PDF, 752KB)
- September 24, 2016, Special Session on New Developments in Graphs and Hypergraphs, AMS Eastern Section Meeting (Bowdoin College, Brunswick, ME). "Realization graphs of degree sequences." Slides (PDF, 390KB)
- June 7, 2016, SIAM Conference on Discrete Mathematics (Georgia State University, Atlanta, GA). "Realization Graphs of Degree Sequences." Slides (PDF, 366KB)
- June 4, 2016, MAA Northeastern Section Spring Meeting (University of New England, Biddeford, ME). "Weakly threshold graphs." Slides (PDF, 610KB)
- November 21, 2015, MAA Northeastern Section Fall Meeting (Gordon College, Wenham, MA). "Realization graphs of degree sequences." Slides (PDF, 400KB)
- November 20, 2015, Discrete Mathematics Seminar, URI. "Degree Sequences, Forced Adjacency Relationships, and Weakly Threshold Graphs." Slides (PDF, 819KB)
- July 21, 2015, Summer Combo in Vermont (St. Michael's College, Colchester, VT). "Graphs with small Erdős-Gallai differences." Slides (PDF, 542KB)
- June 2, 2015, Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM) (University of Saskatchewan, Saskatoon, SK, Canada). "Graph classes with near-equality of independence numbers and Havel-Hakimi residues." Slides (PDF, 457KB)
- March 3, 2015, Forty-Sixth Southeastern International Conference on Combinatorics, Graph Theory, and Computing (Florida Atlantic University, Boca Raton, FL). "Three conjectures on minimal obstructions for tree-depth." Slides (PDF, 349KB)
- February 20, 2015, Discrete Mathematics Seminar, URI. "Uniqueness and minimal obstructions for tree-depth."
- September 26, 2014, Discrete Mathematics Seminar, URI. "The polytope of fractional realizations of degree sequences."
- June 19, 2014, SIAM Conference on Discrete Mathematics (Minneapolis, MN). "Degree Sequences and Forced Adjacency Relationships." Slides (PDF, 638KB)
- January 16, 2014, Joint Mathematics Meetings (Baltimore, MD). "Uniqueness and minimal obstructions for tree-depth."
- January 16, 2014, Joint Mathematics Meetings (Baltimore, MD). "The polytope of fractional realizations of degree sequences."
- September 17, 2013, Mathematics Department Colloquium, Brigham Young University (Provo, UT). "Alternating 4-cycles in graphs." Slides (PDF, 636KB)
- August 1, 2013, MAA MathFest 2013 (Hartford, CT). "Adjacency relationships forced by graph degree sequences." Slides (PDF, 299KB)
- June 12, 2013, Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM) (St. John's, Newfoundland). "Realization polytopes for the degree sequence of a graph." Slides (PDF, 417KB)
- January 14, 2013, Graphs and Matrices Seminar, BYU. "Realization polytopes for the degree sequence of a graph."
- November 13, 2012, Dept. of Mathematics and Statistics Colloquium, Utah State University (Logan, UT). "Degree-associated graph reconstruction: playing with a marked deck."
- October 11, 2012, 26th Midwest Conference on Combinatorics, Cryptography and Computing (Cedar City, UT). "Realization polytopes for the degree sequence of a graph."
- September 24, 2012, Graphs and Matrices Seminar, BYU. "The A_{4}-structure of a graph." Slides (PDF, 534KB)
- September 5, 2012, Graphs and Matrices Seminar, BYU. "The Reconstruction Conjecture and decks with marked cards." Slides (PDF, 885KB)
- June 18, 2012, SIAM Conference on Discrete Mathematics (Halifax, Nova Scotia). "2-switches and isomorphism classes."
- April 14, 2012, MAA Rocky Mountain Section Meeting (Denver, CO). "2-switches and isomorphism classes."
- March 5, 2012, University of Colorado Denver (Denver, CO). "Alternating 4-cycles and isomorphisms."
- Apr. 2011, Residues and independence numbers of unigraphs. MAA Rocky Mountain Section Meeting, Boulder, CO.
- Aug. 2010 On antimagic labelings of graphs. MathFest 2010, Pittsburgh, PA.
- June 2010 Degree sequences, vertex substitutions, and matrogenic graphs. SIAM Conference on Discrete Mathematics, Austin, TX.
- Apr. 2010 Degree sequences, vertex substitutions, and matrogenic graphs. MAA Rocky Mountain Section Meeting, Fort Collins, CO.
- Jan. 2009 Reconstructing graphs given only a few marked cards. MAA General Contributed Paper Session, Joint Mathematics Meetings, Washington, D.C.
- Nov. 2008 A4-structures, decomposition, and balanced graphs. Forty-seventh Midwest Graph Theory Conference, Chicago, IL.
- Oct. 2008 Canonical decomposition of graphs and antimagic labeling. Contributed Paper Session, Fall Central Section Meeting, AMS, Kalamazoo, MI.
- June 2008 The A4-structure of a graph. SIAM Conference on Discrete Mathematics, Burlington, VT.
- Oct. 2007 Pseudo-split graphs, a decomposition method, and the chair graph. Forty-fifth Midwest Graph Theory Conference, Detroit, MI.
- May 2007 The degree-associated reconstruction number of a graph. Forty-fourth Midwest Graph Theory Conference, Dayton, OH.
- Nov. 2006 Graph classes characterized by both degree sequences and forbidden subgraphs. Forty-Third Midwest Graph Theory Conference, Fort Wayne, IN.
- June 2006, SIAM Conference on Discrete Mathematics (Victoria, BC, Canada). "Graph families characterized by both degree sequences and forbidden subgraphs."
- April 22, 2006, Graduate Student Combinatorics Conference (Madison, WI). "Degree-sequence-forcing sets II."
- February 2006, Discrete Mathematics Seminar, Illinois State University (Normal, IL). "Degree-sequence-forcing sets."
- 2005-2014, Twelve talks in seminars at Brigham Young University, Black Hills State University, and the University of Illinois at Urbana-Champaign.
Expository talks
- March 2, 2018, Discrete Mathematics Seminar, URI. "On probability and extremal set theory."
- March 24, 2017, Discrete Mathematics Seminar, URI. "The Grone-Merris Conjecture."
- April 3, 2013, Graphs and Matrices Seminar, BYU. "Moore graphs."
- October 8, 2012, Graphs and Matrices Seminar, BYU. "Perfect Graphs II: The Strong Perfect Graph Theorem."
- October 3, 2012, Graphs and Matrices Seminar, BYU. "Perfect Graphs I: Origins, a theorem, and a conjecture." Slides (PDF, 109KB)
- March 14, 2011, Honors Program/Math Club Lecture, BHSU. "Getting pi (with a little help from my friends)."
Last modified August 15, 2022.