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CHAPTERS

, 2002
CHAPTERS 1. GRAPH THEORY CONCEPTS 1.1. GRAPHS 1.2. PROPERTIES OF GRAPHS 2.
Graph Theory Concepts, Alison Northup
core  

Maximal Planar Graph Theory and the Four-Color Conjecture

This open access book integrates foundational principles with advanced methodologies concerning maximal planar graphs. It offers readers an exceptional examination of graph structures, chromatic polynomials, and the construction and proof techniques of ...
Xu, Jin
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Extra pearls in graph theory [PDF]

, 2023
This is a supplement for "Pearls in graph theory" -- a textbook written by Nora Hartsfield and Gerhard Ringel. We discuss the following topics: Ramsey theory, Probabilistic method, Deletion-contraction formulas, Matrix theorem, Graph-polynomials ...
Petrunin, Anton
core   +1 more source

On the Edge-Connectivity of an Uncertain Random Graph

IEEE Access, 2020
Connectivity is one of the most important concepts in graph theory. When graph theory is applied to complex systems with indeterminate factors, uncertainty and randomness are two basic types of indeterminacy.
Hao Li, Hui Zhang
doaj   +1 more source

Embedded-Graph Theory

CoRR, 2017
In this paper, we propose a new type of graph, denoted as "embedded-graph", and its theory, which employs a distributed representation to describe the relations on the graph edges. Embedded-graphs can express linguistic and complicated relations, which cannot be expressed by the existing edge-graphs or weighted-graphs.
openaire   +2 more sources

The Ramsey theory of Henson graphs

Journal of Mathematical Logic, 2022
Analogues of Ramsey’s Theorem for infinite structures such as the rationals or the Rado graph have been known for some time. In this context, one looks for optimal bounds, called degrees, for the number of colors in an isomorphic substructure rather than one color, as that is often impossible.
openaire   +3 more sources

SPHINX31 acts as a SRPK1 inhibitor targeting the ATR/DNA‐PKcs/CHK1 replicative checkpoint to inhibit cell growth in non‐small cell lung cancer

Molecular Oncology, EarlyView.
The kinase SRPK1 directly interacts with the protein TOPBP1 and regulates the pre‐mRNA splicing of WIZ thereby contributing to the activation of the ATR/CHK1 replicative checkpoint in response to replicative stress. This allows cancer cells' genomic stability and survival.
Amani Shreim, Aurelie Genoux, Nadiia Zubchuk, Haoyang Zheng, Perla Salameh, Theo Ziegelmeyer, Fabien Dalonneau, Margot Rouchette, Christiane Oddou, Simona Miron, Helene Polveche, Adiilah Mamode Cassim, Carmen Garrido, Eleni Nikolakaki, Didier Auboeuf, Tao Jia, Sophie Zinn‐Justin, Beatrice Eymin   +17 more
wiley   +1 more source

work. The method of modeling and the contents of our articles [SL1], [SL2], [RIS1], [PB3], and [PB4] will be explained below. 2. The Method of Modeling

, 2008
In this research, graph theory is applied for two purposes. One is to express the routing of communication and the other is to express the condition of roads.
Graph Theory
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Forcing (G,D)-number of a Graph [PDF]

, 2011
By a graph G=(V,E), we mean a finite, undirected connected graph without loops and multiple ...
Nagarajan, A., A.Nagarajan, Palani, K., K.Palani   +3 more
core   +1 more source

A Comprehensive Discussion on Fuzzy Hypersoft Expert, Superhypersoft, and IndetermSoft Graphs [PDF]

Neutrosophic Sets and Systems
Graph theory, a branch of mathematics, studies relationships among entities through vertices and edges. To capture the inherent uncertainties in real-world networks, Uncertain Graph Theory has evolved within this field.
Takaaki Fujita
doaj   +1 more source