Results 31 to 40 of about 357,448 (292)
The Morita Theory of Quantum Graph Isomorphisms [PDF]
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
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Computation of Resolvability Parameters for Benzenoid Hammer Graph
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
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On Divided-Type Connectivity of Graphs
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
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Marking Shortest Paths On Pushdown Graphs Does Not Preserve MSO Decidability [PDF]
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
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The Ramsey theory of the universal homogeneous triangle-free graph [PDF]
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
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
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On Degree-Based Topological Indices of Petersen Subdivision Graph
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
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On vertex and edge degree-based topological indices
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
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Fundamental Study of the Fill-in Minimization Problem [PDF]
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
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Connectivity Analysis of Cyclically Balanced Fuzzy Graphs
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
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