# Discrete Mathematics Seminar

## Discrete Mathematics at ISU (DISCMATH)

The Mathematics Department at Illinois State University (ISU) has a strong Discrete Mathematics Group. The group, usually called DISCMATH for brevity, is very active in research and professional service, as well as providing enthusiastic and dedicated teaching for students at master's level and all undergraduate levels.

The DISCMATH group convenes a regular weekly seminar program, which runs throughout the Fall and Spring semesters and logs around 20-30 talks each academic year. Meetings last 50 minutes, followed by a 20 minutes informal social gathering. Most talks report on recent results or research in progress, but occasional expository and survey talks are included. Speakers usually are ISU faculty members of DISCMATH, but also include graduate students, invited speakers from other institutions, and visitors to the ISU Mathematics Department (often the Department hosts one or more longer term visitors in Discrete Mathematics).

### Discrete Mathematics Seminar

For the Spring 2022 semester, the talks are given on Thursdays, 2:00 p.m.-2:50 p.m., via Zoom. Please follow the Zoom link by clicking on the date on the table below. Follow the links below for further information on specific talks. If you want to give a talk, please send an email to sshan12[at]ilstu[dot]edu.

### Schedule

**Spring 2022**

Date |
Speaker |
Title |
---|---|---|

Jan 27 | Kevin Grace (Vanerbilt Univ) | Dyadic Matroids with Spanning Cliques |

Feb 10 | Vaidyanathan Sivaraman (Mississippi State U) | Induced subgraphs and chromatic number |

Feb 17 | Murong Xu (Univ of Scranton) | An extremal problem of arc-strong connectivity of digraphs |

Feb 25 | Michael Tait (Villanova Univ) | Two conjectures on the spread of graphs |

Mar 03 | Afshin Behmaram (Tabriz Univ) | Asymptotic enumeration of perfect matchings in Fullerene graphs |

Mar 24 | Martin Henk (Technical Univ of Berlin) | On Hilbert bases of polyhedral cones |

Apr 07 | Xiaofan Yuan (Georgia Institute of Tech) | Rainbow matchings for 3-unifrom hypergraphs |

Apr 14 | Amin Bahmanian (ISU) | Extending Colorings of Triples Using Fewest Number of Colors |

Apr 21 | Papa Sissokho (ISU) | Nonnegative integer solutions of a system of linear equations |

**Fall 2021**

**Spring 2021**

#### Fall 2020

#### Spring 2020

Date | Speaker | Title |
---|---|---|

Jan 23 | Songling Shan (ISU) | Proof of the Core Conjecture of Hilton and Zhao |

Jan 30 | Papa Amar Sissokho (ISU) | Zero-sum-free tuples |

Feb 6 | Amin Bahmanian (ISU) | Hilton's Theorem and Beyond |

Feb 13 | Yifan Jing (UIUC) | The avoidance of (k,l )-sum-free sets |

Feb 20 | John Goldwasser (West Virginia U) | Polychromatic Colorings of the Integers |

Feb 27 | Saad El-Zanati (ISU) | On k-factorizations of uniform hypergraphs of small order--An Updated Version |

Mar 5 | Tian-Xiao He (Illinois Wesleyan U) | Expression and Computation of Generalization of Stirling Numbers and Stirling Functions |

#### Fall 2019

#### Spring 2019

Date | Speaker | Title |
---|---|---|

February 7 | Songling Shan (ISU) | Toughness and prism-hamiltonicity of P_{4}-free graphs |

February 14 | Papa Amar Sissokho (ISU) | A Survey of Partial (s,t)-spreads |

February 21 | Sunil Chebolu (ISU) | Perfect Matchings in Bipartite Graphs, Mersenne Primes and Artin’s Conjecture |

February 28 | Michael Plantholt (ISU) | The chromatic index of graphs with large order n and minimum degree at least 2n/3 |

March 21 | Sun Kim (ISU) | Bressoud's Conjecture |

March 28 | Mikhail Lavrov (UIUC) | Ramsey numbers for paths and cycles using connected matchings |

April 4 | Donald Kreher (Michigan Technological Univ) | Sequenceable partial Steiner triple systems |

April 11 | Dan Roberts (IWU) | Some recent work on Z-antimagic labelings_{k} |

April 18 | Saad El-Zanati (ISU) | On Graph and Hypergraph Designs |

April 25 | Ryan Bunge (ISU) | On the decomposition of circulant graphs through vertex labelings |

May 2 | Hemanshu Kaul (Illinois Inst Tech) | List Coloring Cartesian Products of Graphs: Criticality and the List Color Function |

#### Fall 2018

Date | Speaker | Title |
---|---|---|

September 6 | Papa Sissokho (ISU) | Direct Subspace Packings and Covering Codes |

September 13 | Michael Plantholt (ISU) | A Graph Decomposition Question and Generalized Derangements |

September 27 | Songling Shan (ISU) | Hamiltonian cycles in tough _{2} U _{3}-free graphs |

October 4 | Charles Vanden Eynden (ISU) | Counting Clicking Orbits of Uniform Hypergraphs |

October 11 | Daniel Roberts (IWU) | Problems that Defy Computation |

October 18 | Saad El-Zanati (ISU) | On maximum packings of the complete λ-fold 3-uniform hypergraph with isomorphic loose 3-cycles{:title="Abstract"} |

October 25 | Amin Bahmanian (ISU) | Resolvable cycle decompositions of complete multigraphs and complete equipartite multigraphs via layering and detachment |

November 1 Colloquium, STV 401, 1:30 - 2:30 |
Bruce Berndt (U of I) | Living with Ramanujan for Forty Years |

November 8 | Amin Bahmanian (ISU) | Connected Fair Detachments of Hypergraphs |

November 15 | Jordan Dulowski (ISU) | On the Spectrum Problem for the Orientations of the 6-Cycle |

Cody Hatzer, Kristin Koe (ISU) | On Decompositions of Complete 3-Uniform Hypergraphs into Loose 4-Cycles | |

November 29 | Ryan Bunge (ISU) | On the Use of Vertex Labelings to Obtain Cyclic and 1-rotational Decompositions of Complete Graphs into Tripartite Graphs |

#### Spring 2018

Date | Speaker | Title |
---|---|---|

February 1 | Sadegheh Haghshenas (ISU) | Extending Edge-Colorings into Regular Colorings |

February 8 | Uğur Odabaşi | Some Problems on Cycle Decompositions |

February 15 | Saad El-Zanati(ISU) | On the spectrum problem for the connected cubic graphs of order at most 10 |

February 22 | Amin Bahmanian (ISU) | On an extremal edge-coloring problem |

March 1 | Papa Sissokho (ISU) | Subspace Partitions of Fqn containing direct sums |

March 22 | Mikhail P. Lavrov (UIUC) | Distance-uniform graphs with large diameter |

March 29 | Andrew Shallue (IWU) | The search for pseudoprimes |

April 5 | Dan Roberts (IWU) | Decompositions of complete multigraphs into small-order multigraphs |

April 12 | Amin Bahmanian (ISU) | Latin Cubes |

April 19 | Michael Plantholt (ISU) | Progress on the Overfull Conjecture |

April 26 | Andre Raspaud (LaBRI, Bordeaux University, France) | Colorings of signed graphs - a short survey |

#### Fall 2017

Date | Speaker | Title |
---|---|---|

September 7 | Amin Bahmanian (ISU) | Solving Higher Dimensional Sudokus |

September 21 | Mike Plantholt (ISU) | On Decomposition of Regular Bipartite Graphs into Small Paths |

October 5 | Sadegheh Haghshenas (ISU) | Embedding Factorizations for 4-uniform hypergraphs |

October 19 | Dan Cranston (Virginia Commonwealth University) | Edge-coloring of Graphs and Multigraphs |

November 2 | Papa Sissokho (ISU) | Partial t-spread over finite vector spaces: A graph theoretical interpretation |

November 16 | Saad El-Zanati (ISU) | On Rosa-Type Labelings of Graphs and Hypergraphs |

November 30 | TBA | TBA |

#### Spring 2017

Date | Speaker | Title |
---|---|---|

January 26 | Amin Bahmanian (ISU) | On The Existence of Generalized Designs Part 1 |

February 23 | Dalibor Froncek (U Minn - Duluth) | Decompositions of complete and complete bipartite graphs into prisms and generalized prisms |

March 23 | Sadegheh Haghshenas (ISU) | On Decompositions of Hypergraphs Into Cycles |

April 6 | Amin Bahmanian (ISU) | On The Existence of Generalized Designs Part 2 |

April 20 | Mariusz Meszka (AGH University of Science and Technology, Poland) | Block Colorings of Designs |

April 27 | Derrek Yager (UIUC) | Finding Disjoint Cycles in Multigraphs of Minimum Ore-degree |

#### Fall 2014

**Meeting 3**(Thursday, April 3, 2014): Shailesh Tipnis (Illinois State University), The complexity of some old and some new results on decompositions of graphs into small paths.**Meeting 4**(Thursday, March 27, 2014): Sunil Chebolu (Illinois State University), Mersenne Primes, Riemann Hypothesis, and Circulant Graphs.**Meeting 4**(Thursday, March 20, 2014): Lucian Ionescu (Illinois State University), An algebraic approach to p-adic numbers**Meeting 3**(Thursday, March 6, 2014): Mike Plantholt (Illinois State University), Decomposition of regular graphs into a union of two stars**Meeting 2**(Thursday, February 27, 2014): Charles Vanden Eynden (Illinois State University), The p-adic numbers (Part II)**Meeting 1**(Thursday, February 14, 2014): Charles Vanden Eynden (Illinois State University), The p-adic numbers (Part I)