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Observations on the Lovász θ-Function, Graph Capacity, Eigenvalues, and Strong Products †

Entropy, 2023
This paper provides new observations on the Lovász θ-function of graphs. These include a simple closed-form expression of that function for all strongly regular graphs, together with upper and lower bounds on that function for all regular graphs.
Igal Sason
doaj +1 more source

On the construction and comparison of graph irregularity indices [PDF]

Kragujevac Journal of Science, 2017
Irregularity indices are generally used for quantitative characterization of topological structure of non-regular graphs. According to a widely accepted preconception, using a topological invariant (called a graph irregularity index) for that purpose ...
Réti Tamás, Tóth-Laufer Edit
doaj +1 more source

Automorphism groups of the constituent graphs of integral distance graphs

AKCE International Journal of Graphs and Combinatorics, 2023
In this paper, we consider the automorphism groups of Cayley graphs which are a basis of a complete Boolean algebra of strongly regular graphs, one of such graph is the integral distance graph [Formula: see text] The automorphism groups of the integral ...
O. Habineza, E. Mwambene
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Hemisystems and strongly regular graphs

Discrete Applied Mathematics
In a recent paper, it was constructed a family of hemisystems of H(3,p2), for every prime p of the form p=1+4a2, stabilised by PSL(2,p)×C[Formula presented]. In the case p=5, the full automorphism group is 3.A7, and the hemisystem is isomorphic to a sporadic one described by A. Cossidente and T. Penttila in 2005.
Pallozzi Lavorante V., Romaniello F., Smaldore V. +2 more
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Strongly regular graphs with strongly regular decomposition

Linear Algebra and its Applications, 1989
Partitions of strongly regular graphs into two strongly regular subgraphs are studied. Such partitions give rise to quasi-symmetric designs and other types of interesting configurations. Necessary conditions for the existence of such partitions are derived. Several constructions are given and a table of all feasible parameter sets up to 300 vertices is
Haemers, W. H., Higman, Donald G.
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Some new models for multiprocessor interconnection networks [PDF]

Yugoslav Journal of Operations Research, 2016
A multiprocessor system can be modeled by a graph G. The vertices of G correspond to processors while edges represent links between processors. To find suitable models for multiprocessor interconnection networks (briefly MINs), one can apply ...
Cvetković Dragoš +2 more
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The uniqueness of the strongly regular graph on 77 points [PDF]

, 1983
We show the uniqueness of the strongly regular graph with parameters ¿ = 77, k = 16, ¿ = O, µ = 4 embedding it in the Higman-Sims graph as a second subconstituent, and indicate the existence of a sporadic ...
A. E. Brouwer +2 more
core +1 more source

Partial depletion of plasminogen activator inhibitor‐1 decreases subcutaneous fat cell hypertrophy and liver cholesterol in high‐fat‐fed female mice

FEBS Letters, EarlyView.
Obesity raises blood levels of PAI‐1, a protein linked to metabolic dysfunction‐associated steatotic liver disease in people with obesity. In female mice fed a high‐fat diet, partially lowering PAI‐1 led to smaller subcutaneous fat cells and lower liver cholesterol, without changing body weight or insulin sensitivity.
Claudia E. Ramirez Bustamante +10 more
wiley +1 more source

GRAPHS \(\Gamma\) OF DIAMETER 4 FOR WHICH \(\Gamma_{3,4}\) IS A STRONGLY REGULAR GRAPH WITH \(\mu=4,6\)

Ural Mathematical Journal
We consider antipodal graphs \(\Gamma\) of diameter 4 for which \(\Gamma_{1,2}\) is a strongly regular graph. A.A. Makhnev and D.V. Paduchikh noticed that, in this case, \(\Delta=\Gamma_{3,4}\) is a strongly regular graph without triangles.
Alexander A. Makhnev +2 more
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Emerging experimental and computational methods for studying redox‐regulated structural transitions

FEBS Letters, EarlyView.
Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass, Dana Reichmann, Gábor Erdős +2 more
wiley +1 more source

strongly regular graphs