Results 21 to 30 of about 1,217,420 (262)

Confluence theory for graphs [PDF]

open access: yesAlgebraic & Geometric Topology, 2007
We develop a theory of confluence of graphs. We describe an algorithm for proving that a given system of reduction rules for abstract graphs and graphs in surfaces is locally confluent. We apply this algorithm to show that each simple Lie algebra of rank at most 2, gives rise to a confluent system of reduction rules of graphs (via Kuperberg's spiders ...
Sikora, Adam, Westbury, Bruce
openaire   +5 more sources

The Determinant of Matching Matrix in the Evaluation of Matching Polynomial

open access: yesRevista de Matemática: Teoría y Aplicaciones, 2011
A characterization is given for graphs whose matching polynomial is the determinant of their matching matrices. The matching matrix is then modified and its relation with other graph polynomials is examined.
Shanaz A. Wahid
doaj   +1 more source

Graph Theory: A Lost Component For Development in Nigeria

open access: yesJournal 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
doaj   +1 more source

Gradient-prolongation commutativity and graph theory [PDF]

open access: yes, 2005
This Note gives conditions that must be imposed to algebraic multilevel discretizations involving at the same time nodal and edge elements so that a gradient-prolongation commutativity condition will be satisfied; this condition is very important, since ...
François Musy   +7 more
core   +5 more sources

Graph Theory and Networks in Biology [PDF]

open access: yes, 2006
In this paper, we present a survey of the use of graph theoretical techniques in Biology. In particular, we discuss recent work on identifying and modelling the structure of bio-molecular networks, as well as the application of centrality measures to ...
Mason, Oliver, Verwoerd, Mark
core   +3 more sources

On Total H-Irregularity Strength of the Disjoint Union of Graphs

open access: yesDiscussiones 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
doaj   +1 more source

The Box Graph In Superstring Theory [PDF]

open access: yes, 1994
In theories of closed oriented superstrings, the one loop amplitude is given by a single diagram, with the topology of a torus. Its interpretation had remained obscure, because it was formally real, converged only for purely imaginary values of the ...
Amano   +43 more
core   +2 more sources

Group actions and coverings of Brauer graph algebras [PDF]

open access: yes, 2012
We develop a theory of group actions and coverings on Brauer graphs that parallels the theory of group actions and coverings of algebras. In particular, we show that any Brauer graph can be covered by a tower of coverings of Brauer graphs such that the ...
Green, Edward L   +2 more
core   +1 more source

Spectral graph theory : from practice to theory [PDF]

open access: yes, 2020
Graph theory is the area of mathematics that studies networks, or graphs. It arose from the need to analyse many diverse network-like structures like road networks, molecules, the Internet, social networks and electrical networks.
Farrugia, Alexander
core  

A Graph Rewriting Approach for Transformational Design of Digital Systems [PDF]

open access: yes, 1996
Transformational design integrates design and verification. It combines “correctness by construction” and design creativity by the use of pre-proven behaviour preserving transformations as design steps.
Huijs, Corrie
core   +6 more sources

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