Our Faculty
Edgar Ducasse
Professor
Dyson College of Arts and Sciences
Mathematics  NYC
Location
 @New York City
41 Park Row 711
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, 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. .
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.
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
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]
UNIVERSITY SERVICE

Graph Theory Day 72 Organizing Committee
[ConferenceRelated]