The citizen of the following countries participate in research (in alphabetical ordering): Canada, China, Czechia, Germany, Hungary, India, Italy, Moldova, Poland, Russia, Switzerland and USA.
The main subdirections of the research program could be viewed as respective chapters in the monograph. Only the part of open problems is placed in the open problem sections at the end of each chapter.
"The visitor appears to have an ambitious research program, with many connections to work on problems of fundamental interest in graph or hypergaph theory. It is a broad, mature program."
"The PI can list many papers and problems resulting from the fundamental notion he introduced, "coloring mixed hypergraphs." This is enviable, and further progress if supported is certain. Indeed, there are many open problems in the field, and some of the top people have worked on them. His generalized setting is natural enough, his program is well-formulated and worthy of support.
What are the broader impacts of the proposed activity?
It appears that the PI has worked well in the past with grad students while visiting Illinois and other schools. The proposal plans to involve undergraduates in the research are a plus. Since the PI only just started at Troy State, one might like to see evidence of some success at this before providing significant funding.
Summary Statement
More time will strengthen the case that the PI and coPI will have a beneficial impact on the program at Troy State. I also hope to see the PI involve the coPI in his extensive program in coloring mixed hypergraphs.
Overall, the coPI (...) should be rated "Good", while the PI (Voloshin) should be rated "Very Good", the higher rating in acknowledgment of his great activity, drive, and innovation in developing this theory. I rate the proposal overall as "Good Plus". "
Detailed description of research program is available upon request.