منابع مشابه
On a problem in extremal graph theory
The number T*(n, k) is the least positive integer such that every graph with n = (*:I) + t vertices (t > 0) and at least T*(n, k) edges contains k mutually vertex-disjoint complete subgraphs S, , S, ,..., Sk where S, has ivertices, I < i Q k. Obviously T*(n, k) > T(n, k), the Turan number of edges for a Ki . It is shown that if n > gkk” then equality holds and that there is c :0 such that for (...
متن کاملA Time Dependent Pollution Routing Problem in Multi-graph
This paper considers a time dependent(the travel time is not constant throughout the day) pollution routing problem (TDPRP), which aids the decision makers in minimizing travel time, toll cost and emitted pollution cost. In complexity of urban areas most of the time one point is accessible from another with more than one edge. In contrast to previous TDPRP models, which are designed with only ...
متن کاملSolving a nurse rostering problem considering nurses preferences by graph theory approach
Nurse Rostering Problem (NRP) or the Nurse Scheduling Problem (NSP) is a complex scheduling problem that affects hospital personnel on a daily basis all over the world and is known to be NP-hard.The problem is to decide which members of a team of nurses should be on duty at any time, during a rostering period of, typically, one month.It is very important to efficiently utilize time and effort, ...
متن کاملAn Extremal Problem in Graph Theory
G(?z; I) will denote a graph of n vertices and 1 edges. Let fO(lz, K) be the smallest integer such that there is a G (n; f,, (n, k)) in which for every set of K vertices there is a vertex joined to each of these. Thus for example fO(3, 2) = 3 since in a triangle each pair of vertices is joined to a third. It can readily be checked that f,(4, 2) = 5 (the extremal graph consists of a complete 4-g...
متن کاملThe Oberwolfach Problem in Graph Theory
During the summer of 2007, I participated in a Research Experience for Undergraduates (REU) at Illinois State University. I was one of eight undergraduates, all of whom were mathematics education majors. During my eight week experience, we worked with four in-service teachers from the Normal-Bloomington area, as well as math and math education professors from Illinois State and surrounding univ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Combinatorial Theory
سال: 1969
ISSN: 0021-9800
DOI: 10.1016/s0021-9800(69)80104-3