Results 1 to 10 of about 34,352 (308)
On Invariant Graph Subspaces [PDF]
Integral Equations and Operator Theory, 2016 In this paper we discuss the problem of decomposition for unbounded $2\times 2$ operator matrices by a pair of complementary invariant graph subspaces. Under mild additional assumptions, we show that such a pair of subspaces decomposes the operator matrix if and only if its domain is invariant for the angular operators associated with the graphs.
Makarov, Konstantin A. +2 more
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Edge Mostar Indices of Cacti Graph With Fixed Cycles
Frontiers in Chemistry, 2021 Topological invariants are the significant invariants that are used to study the physicochemical and thermodynamic characteristics of chemical compounds. Recently, a new bond additive invariant named the Mostar invariant has been introduced.
Farhana Yasmeen +3 more
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Duality of graph invariants [PDF]
Science China Mathematics, 2020 We study a new set of duality relations between weighted, combinatoric invariants of a graph $G$. The dualities arise from a non-linear transform $\mathfrak{B}$, acting on the weight function $p$. We define $\mathfrak{B}$ on a space of real-valued functions $\mathcal{O}$ and investigate its properties.
Bu, Kaifeng, Gu, Weichen, Jaffe, Arthur
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Integrating simple genus two string invariants over moduli space
Journal of High Energy Physics, 2021 We consider an Sp(4, ℤ) invariant expression involving two factors of the Kawazumi-Zhang (KZ) invariant each of which is a modular graph with one link, and four derivatives on the moduli space of genus two Riemann surfaces.
Anirban Basu
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Three Constructions on Graphs and Distance-Based Invariants [PDF]
Mathematics Interdisciplinary Research, 2022 Many graphs are constructed from simpler ones by the use of operations on graphs, and as a consequence, the properties of the resulting constructions are strongly related to the properties of their constituents.
Mahdieh Azari
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2012 46th Annual Conference on Information Sciences and Systems (CISS), 2012 The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper we study convex graph invariants, which are graph invariants that are convex functions of the adjacency matrix of a graph.
Venkat Chandrasekaran +2 more
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The uniqueness of DMAX-matrix graph invariants. [PDF]
PLoS ONE, 2014 In this paper, we examine the uniqueness (discrimination power) of a newly proposed graph invariant based on the matrix DMAX defined by Randić et al. In order to do so, we use exhaustively generated graphs instead of special graph classes such as trees ...
Matthias Dehmer, Yongtang Shi
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A Multiplicative Version of Forgotten Topological Index [PDF]
Mathematics Interdisciplinary Research, 2019 In this paper, we present upper bounds for the multiplicative forgotten topological index of several graph operations such as sum, Cartesian product, corona product, composition, strong product, disjunction and symmetric difference in terms of the F ...
Asghar Yousefi +3 more
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Examples and Counterexamples, 2023 A new strongly regular graph with parameters (81,30,9,12) is found as a graph invariant under certain subgroup of the full automorphism group of the previously known strongly regular graph discovered in 1981 by J. H. van Lint and A. Schrijver.
Dean Crnković, Andrea Švob
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Stanley Depth of the Edge Ideal of Extended Gear Networks and Application in Circuit Analysis
Journal of Mathematics, 2022 Graph theory is widely used in power network analysis, complex network, and engineering calculation. Stanley depth is a geometric invariant of the module which is closely related to an algebraic invariant called depth of the module.
Guiling Zeng +4 more
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