With the variety of intense research that Deryk Osthus was interested in, many grants were needed to conduct, analyze, and publish the research and publications that Deryk Osthus wanted to figure out, and gain more reliable and valid information on graph theories and other detailed areas. Throughout the years starting from the mid 2000's, many grants were accepted and given to Deryk Osthus in order to complete his research interests and potentially answer any research questions. In August 2007, Deryk Osthus was given his first grant for "Graph expansion and applications." Two months later, in October 2007 he was given another grant for "The regularity method for directed graphs." 3 years later in October 2010, he was given a grant for "Problems in Extremal Graph Theory." In June 2012, he had received a grant for "Edge-colourings and Hamilton decompositions of graphs." A few months later in December 2012, another grant was given to Deryk for "Asymptotic properties of graphs." 3 years later In March 2015, he received a grant for "Randomized approaches to combinatorial packing and covering problems." From January 2019 to the current date, he was given a grant for "Approximate structure in large graphs and hypergraphs."
Research Interests
With an education stemming back From the late 90's and early 2000's, Deryk Osthus had many areas of interest in the field of research. Deryk Osthus has done a variety of research in his area of interest, which resulted in a variety of different publications. "Deryk's research interests are in extremal graph theory, random graphs, randomized algorithms, structural graph theory as well as Ramsey theory. His recent research has included results on Hamilton cycles and more general spanning substructures, as well as decompositions of graphs and hypergraphs." - According to Wolfram MathWorld "An extremal graph is the largest graph of order n which does not contain a given graph G as a subgraph." - Stated by Wolfram MathWorld "Random graph is a graph in which properties such as the number of graph vertices, graph edges, and connections between them are determined in some random way." - As stated by Geeks for Geeks, Randomized algorithm is "An algorithm that uses random numbers to decide what to do next anywhere in its logic." - According to Warwick "Structural graph theory deals with establishing results that characterize various properties of graphs, and utilizes them in the design of efficient algorithms and other applications. - Ramsey theory studies the conditions under which order must appear in relation to disorder. - Hamilton cycle is a graph cycle through a graph that goes to each node only once.
