Results 31 to 40 of about 7,041,985 (308)
Journal of Algebra, 1994 If \(k\) is a field and \(G\) is a graph on a vertex set \(\{v_ 1, \dots, v_ n\}\), then the edge ideal \(I = I(G) \subset R = k[x_ 1, \dots, x_ n]\) is generated by all \(x_ ix_ j\) such that \(v_ iv_ j\) is an edge of \(G\). We shall assume there are no edges of type \(v_ iv_ i\), so \(I\) is square-free and \(R/I\) is a special case of a face ring ...
Simis, Aron +2 more
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Density-functional theory on graphs [PDF]
The Journal of Chemical Physics, 2021 The principles of density-functional theory are studied for finite lattice systems represented by graphs. Surprisingly, the fundamental Hohenberg–Kohn theorem is found void, in general, while many insights into the topological structure of the density-potential mapping can be won.
Penz, Markus, van Leeuwen, Robert
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On Total H-Irregularity Strength of the Disjoint Union of Graphs
Discussiones Mathematicae Graph Theory, 2020 A simple graph G admits an H-covering if every edge in E(G) belongs to at least to one subgraph of G isomorphic to a given graph H. For the subgraph H ⊆ G under a total k-labeling we define the associated H-weight as the sum of labels of all vertices and
Ashraf Faraha +5 more
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Graph Theory: A Lost Component For Development in Nigeria
Journal of Nigerian Society of Physical Sciences, 2022 Graph theory is one of the neglected branches of mathematics in Nigeria but with the most applications in other fields of research. This article shows the paucity, importance, and necessity of graph theory in the development of Nigeria.
Olayiwola Babarinsa
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Odd harmonious labeling on the amalgamation of the generalized double quadrilateral windmill graph
Desimal, 2021 Graph labeling is one of the topics of graph theory that is growing very rapidly both in terms of theory and application. A graph that satisfies the labeling property of odd harmonious is called an odd harmonious graph.
Fery Firmansah, Wed Giyarti
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Graph Theory and Mean Shift Segmentation Based Classification of Building Facades [PDF]
, 2011 Automatic classification of building facades has become a field of interest for researchers, since it can provide important solutions to many remote sensing research field.
Sirmacek, Beril, Beril Sirmacek
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Barekeng, 2022 One of the concepts in mathematics that developing rapidly today is Graph Theory. The development of Graph Theory has been combined with Group Theory, that is by representing a group in a graph.
Dewi Santri Ramdani +2 more
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Graph Algorithm Animation with Grrr [PDF]
, 2000 We discuss geometric positioning, highlighting of visited nodes and user defined highlighting that form the algorithm animation facilities in the Grrr graph rewriting programming language. The main purpose of animation was initially for the debugging and
Peter J. Rodgers +3 more
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On the Beta-Number of Forests with Isomorphic Components
Discussiones Mathematicae Graph Theory, 2018 The beta-number, β (G), of a graph G is defined to be either the smallest positive integer n for which there exists an injective function f : V (G) → {0, 1, . . .
Ichishima Rikio +3 more
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, 2022 This chapter establishes the graph theoretical conventions used in the handbook. • Graph theory conventions and notation. • Graph parameters and properties.
Ellis-Monaghan, J.A.; id_orcid +3 more
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