Results 41 to 50 of about 4,376,990 (279)
European Journal of CombinatoricsRecent results show that several important graph classes can be embedded as subgraphs of strong products of simpler graphs classes (paths, small cliques, or graphs of bounded treewidth). This paper develops general techniques to bound the chromatic number (and its popular variants, such as fractional, clustered, or defective chromatic number) of the ...
Esperet, Louis, Wood, David
openaire +4 more sources
Journal of Functional Analysis, 1978 AbstractProduct integration is defined for a very general class of bounded-operator-valued functions on a Banach space X. Previous assumptions of continuity or Riemann-integrability of such functions are not needed. Properties of the product integral in the new setting are derived, including material on improper product integration.
Dollard, John D, Friedman, Charles N
openaire +2 more sources
Estimation of Laplacian spectra of direct and strong product graphs
, 2015 Calculating a product of multiple graphs has been studied in mathematics, engineering, computer science, and more recently in network science, particularly in the context of multilayer networks. One of the important questions to be addressed in this area
Sayama, Hiroki
core +1 more source
Organizing the innovation process : complementarities in innovation networking [PDF]
, 2009 This paper contributes to the developing literature on complementarities in organizational design. We test for the existence of complementarities in the use of external networking between stages of the innovation process in a sample of UK and German ...
Audretsch D. B. +11 more
core +4 more sources
Connectivity of Strong Products of Graphs [PDF]
Graphs and Combinatorics, 2010 The strong product of graphs is one of the three commutative and associative graph products. Let \(S\) be the strong product of two given graphs. The author proves that every minimum separating set in \(S\) is either an \(I\)-set or an \(L\)-set in \(S\).
openaire +2 more sources
European Journal of Combinatorics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
On the strong metric dimension of the strong products of graphs
Open Mathematics, 2015 Let G be a connected graph. A vertex w ∈ V.G/ strongly resolves two vertices u,v ∈ V.G/ if there exists some shortest u-w path containing v or some shortest v-w path containing u.
Kuziak Dorota +2 more
doaj +1 more source
, 2015 We describe a general framework for notions of commutativity based on enriched category theory. We extend Eilenberg and Kelly's tensor product for categories enriched over a symmetric monoidal base to a tensor product for categories enriched over a ...
Franco, Ignacio López, Garner, Richard
core +1 more source
Strong expansions of products and products in strong shape
Topology and its Applications, 2004 The paper is devoted to the study of strong expansions and strong shape of Cartesian products of topological spaces. If the Cartesian product of two spaces X and Y admits a strong expansion, which is the Cartesian product of strong polyhedral expansions of these spaces, then XxY is the product in the strong shape category.
openaire +2 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie +4 more
wiley +1 more source