field_of_work william lawrence kocay
In ___MASK19___ ___MASK9___ is the study of " graphs ", which are mathematical structures used to model pairwise relations between objects . A graph in this context is made up of " vertices ", " nodes ", or " points " which are connected by " edges ", " arcs ", or " lines ". A graph may be " undirected ", meaning that there is no distinction between the two vertices associated with each edge , or its edges may be " directed " from one vertex to another ; see Graph ( discrete ___MASK19___ ) for more detailed definitions and for other variations in the types of graph that are commonly considered . Graphs are one of the prime objects of study in discrete ___MASK19___ . A public university is a university that is predominantly funded by public means through a national or subnational government , as opposed to private universities . Whether a national university is considered public varies from one country ( or region ) to another , largely depending on the specific ___MASK88___ landscape . Informally , the reconstruction conjecture in ___MASK9___ says that graphs are determined uniquely by their subgraphs . It is due to Kelly and Ulam . The Institute of ___MASK81___ and its Applications ( ICA ) is an international scientific organization . It was formed in 1990 and is based in Boca Raton , Florida ; its operation office is housed at Florida Atlantic University . Florida Atlantic University ( also referred to as FAU or Florida Atlantic ) is a public university located in Boca Raton , Florida , with five satellite campuses located in the Florida cities of Dania Beach , Davie , Fort Lauderdale , Jupiter , and in Fort Pierce at the Harbor Branch Oceanographic Institution . FAU belongs to the 12 - campus State University System of Florida and serves South Florida , which has a population of more than five million people and spans more than 100 miles ( 160 km ) of coastline . Florida Atlantic University is classified by the Carnegie Foundation as a ___MASK71___ university with high ___MASK71___ activity . The university offers more than 180 undergraduate and graduate degree programs within its 10 colleges in addition to a professional degree from the College of Medicine . Programs of study cover arts and humanities , the sciences , medicine , nursing , accounting , business , education , ___MASK11___ , social work , architecture , engineering , and computer science . William Lawrence Kocay is a Canadian professor at the department of computer ___MASK32___ at St . Paul ' s College of the University of Manitoba and a graph theorist . He is known for his work in graph algorithms and the reconstruction conjecture and is affectionately referred to as `` Wild Bill '' by his students . Bill Kocay is a former managing editor ( from Jan 1988 to May 1997 ) of Ars Combinatoria , a Canadian journal of combinatorial mathematics , is a founding fellow of the Institute of Combinatorics and its Applications . His research interests include algorithms for graphs , the development of mathematical software , the graph reconstruction problem , the graph isomorphism problem , projective geometry , Hamiltonian cycles , planarity , graph embedding algorithms , graphs on surfaces , and combinatorial designs . A university (" a whole ", " a corporation ") is an institution of higher ( or tertiary ) ___MASK88___ and ___MASK71___ which grants academic degrees in various subjects . Universities typically provide undergraduate ___MASK88___ and postgraduate ___MASK88___ . Canada ( ___MASK83___ : ) is a country in the northern half of North America . Its ten provinces and three territories extend from the Atlantic to the Pacific and northward into the Arctic Ocean , covering , making it the world ' s second - largest country by total area and the fourth - largest country by land area . Canada ' s border with the United States is the world ' s longest land border . The majority of the country has a cold or severely cold winter climate , but southerly areas are warm in summer . Canada is sparsely populated , the majority of its land territory being dominated by forest and tundra and the Rocky Mountains . About four - fifths of the country ' s population of 36 million people is urbanized and live near the southern border . Its capital is Ottawa , its largest city is Toronto ; other major urban areas include Montreal , Vancouver , Calgary , Edmonton , Quebec City , Winnipeg and Hamilton . The University of Manitoba ( U of M , UMN , or UMB ) is a public university in the province of Manitoba , Canada . Located in Winnipeg and founded in 1877 , it was Western Canada  s first university . The university maintains a reputation as a top ___MASK71___ - intensive post - secondary educational institution and conducts more ___MASK71___ annually than any other university in the region . It is the largest university both by total student enrollment and campus area in the province of Manitoba , and the 17th largest in all of Canada . The university ' s raised admissions standards , wide array of professional disciplines , and global outreach have resulted in one of the most diverse student bodies in Western Canada . The campus includes both Faculties of Law and Medicine , and boasts hundreds of degree programs .