Our Faculty
Edgar Ducasse
Professor
Dyson College of Arts and Sciences
Mathematics  NYC
Location
 @New York City
Office Hours
New York City
 Biography
 Publications & Presentations
 Research & Creative Works
 Professional Contributions & Service
Biography
50 years university teaching experience; Published over 50 books, journal articles, conference papers, technical reports; Served in numerous capacities on conferences, journals, committees
Education
PhD , University of Illinois , Urbana, Illinois , 1973
Mathematics
MS , University of Illinois , Urbana, Illinois , 1966
Mathematics
BS , University of Illinois , Urbana, Illinois , 1965
Mathematics
Publications
DuCasse, E. G., Quintas, L. V. & Keidar, D. (2016). Graphs, Directed Graphs, and Markov Chains.
DuCasse, E. G., Quintas, L. V. & Keidar, D. (2016, May 7). Digraphs with Positive Prime Divisors as Nodes and their Related Probabilistic Values and Properties.
DuCasse, E. G., Quintas, L. V. & Keidar, D. (2016, May 3). Probability on a Digraph Whose Nodes are the Positive Divisors of a Given Integer. , pages Page 52.
DuCasse, E. G., Quintas, L. V. & Keidar, D. (2016, May 1). Div(n) as a Directed Graph.
DuCasse, E. G. & Quintas, L. V. Alkanes. Mihai Putz (Eds.), The Explicative Dictionary of Nanochemistry. .
DuCasse, E. G. & Quintas, L. V. fgraphs. Mihai Putz (Eds.), The Explicative Dictionary of Nanochemistry. xxxxxxxxxx, xxxxxxx: xxxxxxxxxxxxxxx. Vol xxxxxxx (Issue xxxxxxxxxx) , pages xxxxxxxx. http://xxxxxxxxxxx
DuCasse, E. G. & Quintas, L. V. Mathematical Chemistry. Mihai Putz (Eds.), The Explicative Dictionary of Nanochemistry. .
DuCasse, E. G., Quintas, L. V., Kravette, K. J. & Mendoza, D. M. (2015). A graph model related to chemistry: Conversion of methane to higher alkanes. International Journal of Chemical Modeling. Vol 7 (Issue 1) , pages 17  29.
Cha, S., Ducasse, E., Quintas, L. V., Kravette, K. & Mendoza, D. M. (2015, December 01). A Graph Model Related to Chemistry: Conversion of Methane to Higher Alkanes. International Journal of Chemical Modeling. Vol 7 (Issue 1) , pages 1729. http://https://www.novapublishers.com/catalog/product_info.php?products_id=54040
Cha, S., Ducasse, E., Quintas, L. V., Kravette, K. J. & Mendoza, D. M. (2015, December 01). Graph theory and the conversion of methane to higher order alkanes. Congressus Numerantium. Vol 224 , pages 7590.
Cha, S., Ducasse, E., Kravette, K. J., Quintas, L. V. & Shor, J. P.
(2015, December 01).
Graphs whose vertices are forests with bounded degree: Open Problems.
International Journal Graph Theory and Its Applications.
Vol 1
(Issue 2)
, pages 123129.
http://www.mililink.com/upload/article/903485702IJGTA%20v1i2%20123129.pdf
Cha, S., Ducasse, E., Quintas, L. V. & Shor, J. P. (2015, December 01). Graphs whose vertices are forests with bounded degree: Planarity. Bulletin of the Institute of Combinatorics and its Applications. http://bkocay.cs.umanitoba.ca/ICA
DuCasse, E. G., Quintas, L. V. & Shor, J. P. (2015, November 7). Graphs Whose Vertices are Forests with Doubly Bounded Degree: Fundamentals. , pages A14. http://csis.pace.edu/~scha/GTD70/proceedingsofGTD70.pdf
DuCasse, E. G. & Quintas, L. V. (2015, November 7). Probability on a Digraph whose nodes are the positive Divisors of a Given Integer. , pages A8. http://csis.pace.edu/~cha/GTD70/ProceedingsofGTD70.pdf
DuCasse, E. G., Quintas, L. V., Kravette, K. & Mendoza, D. Graph theory and the conversion of methane to higher order alkanes. Congressus Numerantium.
DuCasse, E. G., Quintas, L. V., Cha, S. & Shor, J. P.
(2015, September).
Graphs whose vertices are forests with bounded degree: Planarity.
Bulletin of the Institute of Combinatorics and its Applications.
Vol 75
, pages 107117.
DuCasse, E. G., Quintas, L. V., Cha, S., Kravette, K. J. & Shor, J. P. Graphs whose vertices are forests with bounded degree: Open problems. International Journal of Graph Theory and its Applications.
DuCasse, E. G., Shor, J. P. & Quintas, L. V. (2015, May 7). Xxxxxxx. , pages 1. http://xxxxxxxxxxx
DuCasse, E. G., Brancati, L. & Quintas, L. V. (2015, May 7). Xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx. , pages xxxxx. http://xxxxxxx
DuCasse, E. G., Quintas, L. V., Kravette, K. & Mendoza, D. (2015, March 6). A Graph Theory Application to the Chemistry of Alkanes.
DuCasse, E. G., Quintas, L. V. & Brancati, L.
(2015, January (1st Quarter/Winter)).
A graph whose vertices are all the divisors of a positive integer: Fundamentals.
Bulletin of the Institute of Combinatorics and its Applications.
Vol 73
, pages 47  62.
DuCasse, E. G. & Quintas, L. V. (2014, December). Domination in graphs whose vertices are forests with bounded degree. Graph Theory Notes of New York. Vol LXVII , pages 24  33.
DuCasse, E. G., Quintas, L. V. & Cha, S. (2014, May 21). Graph invariants based on the divides relation and ordered by prime signatures. arXiv: 1405.5283v1 [math.NT]. http://arXiv: 1405.5283v1 [math.NT]
PRESENTATIONS
DuCasse, E. G., Quintas, L. V. & Keidar, D. (2016, May 7). Graph Theory Day 71. Probability Distribution on a Digraph Whose Underlying Graph is Div(n). Mathematical Association of America and Nassau Community College, SUNY, Garden City, New York
DuCasse, E. G., Quintas, L. V. & Keidar, D. (2016, May 3). Student/Faculty Research Day. Probability on a Digraph Whose Nodes are the Positive Divisors of a Given Integer. Pace University, New York, NY
DuCasse, E. G., Quintas, L. V. & Keidar, D. (2016, May 1). Pace Mathematics Department Seminar Series. Xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx. Pace Mathematics Department (Quintas/DuCasse), Pace University
DuCasse, E. G., Shor, J. P. & Quintas, L. V. (2015, November 7). Graph Theory Day 70. Graphs Whose Vertices are Forests with Doubly Bounded Degree: Fundamentals. Mathematical Association of America and Pace University School of CSIS, Pace University, New York, NY
DuCasse, E. G., Brancati, L. & Quintas, L. V. (2015, November 7). Graph Theory Day 70. Graphs Whose Vertices are the Positive Divisors of a Given Integer. Mathematical Association of America and Pace School of CSIS, Pace University, New York, NY
DuCasse, E. G., Quintas, L. V., Kravette, K. J. & Mendoza, D. M. (2015, March 4). 46th Meeting of the Southeastern International Conference on Combinatorics, Graph Theory, and Computing. A graph application in chemistry. Mathematical Association of America, Boca Raton, Florida
DuCasse, E. G., Quintas, L. V., Kravette, K. J. & Shor, J. P. (2014, December 6). Graph Theory Day 68. Some open problems in F(n,f) graphs. Mathematical Association of America, Nassau Community College, Garden City, New York
DuCasse, E. G., Quintas, L. V., Cha, S., Kravette, K. J. & Mendoza, D. M. (2014, November 1). Mathematical Association of America Metro New York Annual Meeting. A graph model for alkanes. Mathematical Association of America, St. Peters University, Jersey City, New Jersey
DuCasse, E. G., Quintas, L. V., Cha, S. & Shor, J. P. (2014, November 1). Mathematical Association of America Metro New York Annual Meeting. Graphs whose vertices are forests with bounded degree. Mathematical Association of America, St. Peters University, Jersey City, New Jersey
DuCasse, E. G., Quintas, L. V. & Shor, J. P. (2014, May 7). Pace University StudentFaculty Research Showcase . Planarity and F(n,f) graphs. Pace University, Pace University, New York, NY
DuCasse, E. G., Quintas, L. V. & Shor, J. P. (2014, May 3). Mathematical Association of America Metropolitan New York Annual Meeting. Graphs whose vertices are forests with bounded degree: Theorems and algorithms. Mathematical Association of America, Nassau Community College, Garden City, New York
RESEARCH INTEREST
Graph Theory Multiple Valued Logic Design Fault Tolerant Computing
Grants, Sponsored Research and Contracts
Intellectual Property
 Patent: A Majority Voting Scheme [NonProvisional]
United States
COLLEGE SERVICE

Dyson Curriculum Committee [Committee Member]

Scheduling Task Force [Other]
Desc: Attend occasional Scheduling Task Force meetings and report back to the Faculty Council Scheduling Committee so that the Faculty Council Committee would be aware of the work carried out by the Task Force.
Committee's Key Accomplishments: Helped make out yearly schedules for the University
UNIVERSITY SERVICE

Graph Theory Day 72 Organizing Committee
[ConferenceRelated]

Graph Theory Day 70 Organizing Committee
[ConferenceRelated]
Desc: Organize and bring to Pace University: Graph Theory Day 70 (GTD70), held on November 7, 2015, sponsored by the Mathematical Association of America, and funded by the MAA and the Seidenberg School (CSIS) of Pace under the leadership of Dean Jonathan Hill.
Committee's Key Accomplishments: Organized conference GTD70 held at Pace University. Secured sponsorship by and funding from the MAA (Mathematical Association of America) and the Seidenberg School (CSIS) of Pace. Obtained invited speakers for the conference. Handled advertising for the event. Developed website for the conference. Took care of local arrangements for attendees. 
CSIS Technical Report Series
[Editor]
Desc: Review articles for possible inclusion in CSIS Technical Report Series.