Results 21 to 30 of about 878,093 (282)

On the Beta-Number of Forests with Isomorphic Components

open access: yesDiscussiones 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
doaj   +1 more source

The Role of Graph Theory in System of Systems Engineering

open access: yesIEEE Access, 2016
The world of system of systems engineering (SoSE), and consequently systems engineering, is currently being reformalized so as to provide greater functionality, integration, and extensibility into designed systems of systems (SoS).
Willie K. Harrison
doaj   +1 more source

Graph Signal Representation with Wasserstein Barycenters [PDF]

open access: yes, 2018
In many applications signals reside on the vertices of weighted graphs. Thus, there is the need to learn low dimensional representations for graph signals that will allow for data analysis and interpretation.
Frossard, Pascal, Simou, Effrosyni
core   +2 more sources

Expanding Horizons: Graph Theory’s Multifaceted Applications [PDF]

open access: yesE3S Web of Conferences
A subfield of mathematics called graph theory studies networks of points interconnected by lines. Researchers may model and examine the structure of a network using graph theory.
Saxena Abhishek   +6 more
doaj   +1 more source

Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs Pn,1 and Pn,2

open access: yesJournal of Mathematics, 2023
The graph theory has wide important applications in various other types of sciences. In chemical graph theory, we have many topological polynomials for a graph G through which we can compute many topological indices.
Ramy Shaheen   +2 more
doaj   +1 more source

Exact trace formulae for a class of one-dimensional ray-splitting systems [PDF]

open access: yes, 2001
Based on quantum graph theory we establish that the ray-splitting trace formula proposed by Couchman {\it et al.} (Phys. Rev. A {\bf 46}, 6193 (1992)) is exact for a class of one-dimensional ray-splitting systems.
A. Selberg   +25 more
core   +2 more sources

Graphs in Libraries: A Primer

open access: yesInformation Technology and Libraries, 2011
Whenever librarians use Semantic Web services and standards for representing data, they also generate graphs, whether they intend to or not. Graphs are a new data model for libraries and librarians, and they present new opportunities for library services.
James E. Powell   +6 more
doaj   +1 more source

Navigability, Walkability, and Perspicacity Associated with Canonical Ensembles of Walks in Finite Connected Undirected Graphs—Toward Information Graph Theory

open access: yesInformation, 2023
Canonical ensembles of walks in a finite connected graph assign the properly normalized probability distributions to all nodes, subgraphs, and nodal subsets of the graph at all time and connectivity scales of the diffusion process.
Dimitri Volchenkov
doaj   +1 more source

Certain operations on interval-valued picture fuzzy graphs with application

open access: yesInternational Journal of Mathematics for Industry, 2023
Graph theory has various applications in computer science, such as image segmentation, clustering, data mining, image capturing, and networking. Fuzzy graph (FG) theory has been widely adopted to handle uncertainty in graph-related problems.
Biswajit Das Adhikari   +3 more
doaj   +1 more source

Applications of graph theory to landscape genetics [PDF]

open access: yesEvolutionary Applications, 2008
AbstractWe investigated the relationships among landscape quality, gene flow, and population genetic structure of fishers (Martes pennanti) in ON, Canada. We used graph theory as an analytical framework considering each landscape as a network node. The 34 nodes were connected by 93 edges.
Garroway, Colin J   +3 more
openaire   +2 more sources

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