Results 1 to 10 of about 7,960,789 (369)
Confluence theory for graphs [PDF]
Algebraic & 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
Revista 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 and Networks in Biology [PDF]
, 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
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The Box Graph In Superstring Theory [PDF]
, 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
, 2020 We study the uniqueness of optimal solutions to extremal graph theory problems. Lovasz conjectured that every finite feasible set of subgraph density constraints can be extended further by a finite set of density constraints so that the resulting set is ...
Grzesik, Andrzej +2 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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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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Group actions and coverings of Brauer graph algebras [PDF]
, 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
A Graph Rewriting Approach for Transformational Design of Digital Systems [PDF]
, 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
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The approach to criticality in sandpiles [PDF]
, 2010 A popular theory of self-organized criticality relates the critical behavior of driven dissipative systems to that of systems with conservation. In particular, this theory predicts that the stationary density of the abelian sandpile model should be equal
A. A. Járai +8 more
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