Results 31 to 40 of about 365,947 (287)
Tur\'an Graphs, Stability Number, and Fibonacci Index
The Fibonacci index of a graph is the number of its stable sets. This parameter is widely studied and has applications in chemical graph theory. In this paper, we establish tight upper bounds for the Fibonacci index in terms of the stability number and ...
A. Knopfmacher +20 more
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Metric and Fault-Tolerant Metric Dimension of Hollow Coronoid
Coronoid systems actually arrangements of hexagons into six sides of benzenoids. By nature, it is an organic chemical structure. Hollow coronoids are primitive and catacondensed coronoids. It is also known as polycyclic conjugated hydrocarbons.
Ali N. A. Koam +3 more
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The (a,b)-Zagreb index of line graphs of subdivision graphs of some molecular structures
A graph is a mathematical model used to predict the topology of a given system. In chemical graph theory, a graph is designed by considering atoms as vertices and edges as bonds between atoms of a particular molecule.
Prosanta Sarkar, Anita Pal, Nilanjan De
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Discontinuous percolation transitions and the associated tricritical points are manifest in a wide range of both equilibrium and non-equilibrium cooperative phenomena. To demonstrate this, we present and relate the continuous and first order behaviors in
B. Bollobás +6 more
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Analytical results on the polymerisation random graph model [PDF]
The step-growth polymerisation of a mixture of arbitrary-functional monomers is viewed as a time-continuos random graph process with degree bounds that are not necessarily the same for different vertices.
Kryven, Ivan
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Graph Entropy of Some Special Chemical Graphs
Chemical graph theory plays an important role in modelling molecules, especially examining physico-chemical properties of the chemical compounds. Alkanes are one of the chemical compounds which are made up of hydrogen and carbon atoms, generally known ...
B. I. Andrew, A Anuradha
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Node Balanced Steady States: Unifying and Generalizing Complex and Detailed Balanced Steady States
We introduce a unifying and generalizing framework for complex and detailed balanced steady states in chemical reaction network theory. To this end, we generalize the graph commonly used to represent a reaction network. Specifically, we introduce a graph,
Cappelletti, Daniele +2 more
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Translated Chemical Reaction Networks [PDF]
Many biochemical and industrial applications involve complicated networks of simultaneously occurring chemical reactions. Under the assumption of mass action kinetics, the dynamics of these chemical reaction networks are governed by systems of polynomial
Johnston, Matthew D.
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Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements [PDF]
We extend previous work on injectivity in chemical reaction networks to general interaction networks. Matrix- and graph-theoretic conditions for injectivity of these systems are presented.
Banaji, Murad, Craciun, Gheorghe
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Energy-based Analysis of Biochemical Cycles using Bond Graphs [PDF]
Thermodynamic aspects of chemical reactions have a long history in the Physical Chemistry literature. In particular, biochemical cycles - the building-blocks of biochemical systems - require a source of energy to function.
Crampin, Edmund J., Gawthrop, Peter J.
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