The Ramsey number.
Boza, Luis (2011)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Integral representations of graphs.”
The Ramsey number.
Fixed point and best proximity theorems under two classes of integral-type contractive conditions in uniform metric spaces.
De La Sen, M. (2010)
Fixed Point Theory and Applications [electronic only]
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The irregularity of graphs under graph operations
Hosam Abdo, Darko Dimitrov (2014)
Discussiones Mathematicae Graph Theory
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The irregularity of a simple undirected graph G was defined by Albertson [5] as irr(G) = ∑uv∈E(G) |dG(u) − dG(v)|, where dG(u) denotes the degree of a vertex u ∈ V (G). In this paper we consider the irregularity of graphs under several graph operations including join, Cartesian product, direct product, strong product, corona product, lexicographic product, disjunction and sym- metric difference. We give exact expressions or (sharp) upper bounds on the irregularity of graphs under the...
An upper bound for the representation number of graphs with fixed order.
Narayan, Darren A. (2003)
Integers
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An extension of Rothe's method to non-cylindrical domains
Komil Kuliev, Lars-Erik Persson (2007)
Applications of Mathematics
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In this paper Rothe’s classical method is extended so that it can be used to solve some linear parabolic boundary value problems in non-cylindrical domains. The corresponding existence and uniqueness theorems are proved and some further results and generalizations are discussed and applied.
Dominating and total dominating partitions in cubic graphs
Justin Southey, Michael Henning (2011)
Open Mathematics
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In this paper, we continue the study of domination and total domination in cubic graphs. It is known [Henning M.A., Southey J., A note on graphs with disjoint dominating and total dominating sets, Ars Combin., 2008, 89, 159–162] that every cubic graph has a dominating set and a total dominating set which are disjoint. In this paper we show that every connected cubic graph on nvertices has a total dominating set whose complement contains a dominating set such that the cardinality of the...
Infinitely many periodic solutions for nonautonomous sublinear second-order Hamiltonian systems.
Zhang, Peng, Tang, Chun-Lei (2010)
Abstract and Applied Analysis
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Existence of solutions of the Darboux problem for partial differential equations in Banach spaces
Bogdan Rzepecki (1987)
Commentationes Mathematicae Universitatis Carolinae
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Reliable solution of parabolic obstacle problems with respect to uncertain data
Ján Lovíšek (2003)
Applications of Mathematics
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A class of parabolic initial-boundary value problems is considered, where admissible coefficients are given in certain intervals. We are looking for maximal values of the solution with respect to the set of admissible coefficients. We give the abstract general scheme, proposing how to solve such problems with uncertain data. We formulate a general maximization problem and prove its solvability, provided all fundamental assumptions are fulfilled. We apply the theory to certain Fourier...