منابع مشابه
Extremal results for rooted minor problems
In this paper, we consider the following problem. Given four distinct vertices v1, v2, v3, v4. How many edges guarantee the existence of seven connected disjoint subgraphs Xi for i = 1, . . . , 7 such that Xj contains vj for j = 1, 2, 3, 4 and for j = 1, 2, 3, 4, Xj has a neighbour to each Xk with k = 5, 6, 7. This is the so called “rooted K3,4-minor problem”. There are only few known results o...
متن کاملExtremal functions for rooted minors
The graph G contains a graph H as a minor if there exist pair-wise disjoint sets {Si ⊆ V (G)|i = 1, . . . , |V (H)|} such that for every i, G[Si] is a connected subgraph and for every edge uv in H, there exists an edge of G with one end in Su and the other end in Sv. A rooted H minor in G is a minor where each Si of minor contains a predetermined xi ∈ V (G). We prove that if the constant c is s...
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Problems and results in Extremal Combinatorics - III
Extremal Combinatorics is one of the most active topics in Discrete Mathematics, dealing with problems that are often motivated by questions in other areas, including Theoretical Computer Science, Geometry and Game Theory. This paper contains a collection of problems and results in the area, including solutions or partial solutions to open problems suggested by various researchers. The topics c...
متن کاملProblems and results in Extremal Combinatorics ... IIIT1
Extremal Combinatorics is one of the most active topics in Discrete Mathematics, dealing with problems that are often motivated by questions in other areas, including Theoretical Computer Science, Geometry and Game Theory. This paper contains a collection of problems and results in the area, including solutions or partial solutions to open problems suggested by various researchers. The topics c...
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 2007
ISSN: 0364-9024,1097-0118
DOI: 10.1002/jgt.20232