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The Morita Theory of Quantum Graph Isomorphisms [PDF]

open access: yesCommunications in Mathematical Physics, 2018
We classify instances of quantum pseudo-telepathy in the graph isomorphism game, exploiting the recently discovered connection between quantum information and the theory of quantum automorphism groups. Specifically, we show that graphs quantum isomorphic
Benjamin Musto   +2 more
semanticscholar   +1 more source

Computation of Resolvability Parameters for Benzenoid Hammer Graph

open access: yesJournal of Mathematics, 2022
A representation of each vertex of a network into distance-based arbitrary tuple form, adding the condition of uniqueness of each vertex with reference to some settled vertices. Such settled vertices form a set known as resolving set.
Ali Ahmad, Al-Nashri Al-Hossain Ahmad
doaj   +1 more source

On Divided-Type Connectivity of Graphs

open access: yesEntropy, 2023
The graph connectivity is a fundamental concept in graph theory. In particular, it plays a vital role in applications related to the modern interconnection graphs, e.g., it can be used to measure the vulnerability of the corresponding graph, and is an ...
Qiao Zhou, Xiaomin Wang, Bing Yao
doaj   +1 more source

Marking Shortest Paths On Pushdown Graphs Does Not Preserve MSO Decidability [PDF]

open access: yes, 2016
In this paper we consider pushdown graphs, i.e. infinite graphs that can be described as transition graphs of deterministic real-time pushdown automata.
Carayol, Arnaud, Serre, Olivier
core   +5 more sources

The Ramsey theory of the universal homogeneous triangle-free graph [PDF]

open access: yesJournal of Mathematical Logic, 2017
The universal homogeneous triangle-free graph, constructed by Henson [A family of countable homogeneous graphs, Pacific J. Math. 38(1) (1971) 69–83] and denoted [Formula: see text], is the triangle-free analogue of the Rado graph. While the Ramsey theory
Natasha Dobrinen
semanticscholar   +1 more source

A paradigmatic approach to investigate restricted hyper totient graphs

open access: yesAIMS Mathematics, 2021
Nowadays, the problem of finding families of graphs for which one may ensure the existence of a vertex-labeling and/or an edge-labeling based on a certain class of integers, constitutes a challenge for researchers in both number and graph theory. In this
Shahbaz Ali   +2 more
doaj   +1 more source

On Degree-Based Topological Indices of Petersen Subdivision Graph

open access: yesEuropean Journal of Mathematical Analysis, 2023
In this paper, we adequately describe the generalised petersen graph, expanding to the categories of graphs. We created a petersen graph, which is cyclic and has vertices that are arranged in the centre and nine gons plus one vertex, leading to the ...
Mukhtar Ahmad   +5 more
doaj   +1 more source

On vertex and edge degree-based topological indices

open access: yesVojnotehnički Glasnik, 2023
Introduction/purpose: The entire topological indices (T Ient) are a class of graph invariants depending on the degrees of vertices and edges. Some general properties of these invariants are established.
Ivan Gutman
doaj   +1 more source

Fundamental Study of the Fill-in Minimization Problem [PDF]

open access: yes, 1980
In this paper the fill-in minimization problem which arises at the application of the sparse matrix method for a large sparse set of linear equations is discussed from the graph-theoretic viewpoint and also through the numerical experiments.
Numata, Katsu, Taniguchi, Takeo
core   +1 more source

Connectivity Analysis of Cyclically Balanced Fuzzy Graphs

open access: yesFuzzy Information and Engineering, 2015
The concepts of connectivity and cycle connectivity play an important role in fuzzy graph theory. In this article, cyclic cutvertices, cyclic bridges and cyclically balanced fuzzy graphs are discussed.
N. Jicy, Sunil Mathew
doaj   +1 more source

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