Graph of order \(n\) which minimal degree \(n-3\)
On the Hamiltonicity of Product Graph G ? Sm, for a Graph G of Order n, and Star Graph Sm, n = m
... A path Pk of a graph is sequence of adjacent vertices u1 , u2 , . . . uk such that no one vertex is repeated. A closed path or cycle is a sequence of adjacent vertices u1 , u2 , . . . uk , uk+1 such that u1 = uk+1 ...
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A Study on Perfect 3 Coloring of Cubic Graph of Order 10
... CUBIC GRAPH OF ORDER 10” examines the idea identified with perfectly coloring a cubic graph of order ...a graph G with m colors is a partition of vertex set of G into m parts A 1 , A 2, ...
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The conjugate graph and conjugacy class graph of order at most 32
... into graph theory. The conjugate graph is a graph whose the vertices are non-central elements of a finite non-Abelian ...class graph is a graph whose vertices are non-central of a group ...
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Some graph parameters on the composite order Cayley graph
... prime order Cayley graph is similar to the composite order Cayley graph, but note that these two graphs are completely different as the set S ...a graph, that can not achieve by ...
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Edges, Chains, Shadows, Neighbors and Subgraphs in the Intrinsic Order Graph
... intrinsic order graph are studied, namely those dealing with its edges; chains; shadows, neighbors and degrees of its vertices; and some relevant subgraphs, as well as the natural isomorphisms between ...
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Local expansion and optimization for higher order graph clustering
... a graph G and a motif M, and under the same parameter α, if the number of motifs whose nodes are all in cluster C is considerably higher than that of motifs where only a portion of nodes are in cluster C, then ...
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High-order Graph-based Neural Dependency Parsing
... For graph- based parsers, in order to get exact comparisons be- tween traditional methods and neural network meth- ods, we run the traditional graph-based parsers un- der the same executing ...
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The Quasi Order of Matching Energy of Circum Graph with Chord
... of graph G . In order to compare the energies of a pair of graphs, Gutman and Wager further put for- ward the concept of quasi-order ...quasi- order relation on the matching energy for circum ...
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Event Detection with Multi Order Graph Convolution and Aggregated Attention
... Syntactic relations are broadly used in many NLP tasks. For event detection, syntactic rela- tion representations based on dependency tree can better capture the interrelations between candidate trigger words and related ...
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The tractability frontier of graph like first order query sets
... same graph, and will hence continue to be in Φ; we refer to this property of Φ as replacement ...same graph and will hence be contained in Φ ...be graph-like if it is replacement closed and also ...
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Partitioning the Intrinsic Order Graph for Complex Stochastic Boolean Systems
... useful graph- ical representation of a CSBS is the intrinsic order graph ...decreasing order of their occurrence ...this graph into smaller and smaller equal-sized ...the graph I ...
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Learning to Order Graph Elements with Application to Multilingual Surface Realization
... Graph structures are ubiquitous in representa- tions of natural language. Despite the success of sequence-to-sequence learning for language gen- eration (especially machine translation), NLP re- searchers have ...
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A nodal domain theorem and a higher-order Cheeger inequality for the graph p-Laplacian
... nonlinear graph p-Laplacian and its set of eigenvalues and associated eigenfunctions of this operator defined by a variational prin- ...the graph p-Laplacian for any p ≥ 1 ...linear graph Laplacian ...
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Weisfeiler and Leman Go Neural: Higher-Order Graph Neural Networks
... years, graph neural networks (GNNs) have emerged as a powerful neural architecture to learn vector representations of nodes and graphs in a supervised, end-to-end ...Weisfeiler-Leman graph isomorphism ...
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Complex Stochastic Boolean Systems: New Properties of the Intrinsic Order Graph
... Intrinsic Order Graph for Complex Stochastic Boolean Systems,” in Lecture Notes in Engineering and Computer Science: World Congress on Engineering 2010, ...
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The higher order matching polynomial of a graph
... This is done in Section 2. In Section 3 we establish connections between the higher-order matching polynomial and hypergeometric functions, generalizing in this way the well- known relations between the matching ...
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Online Graph Edge-Coloring in the Random-Order Arrival Model
... bipartite graph using ∆ +o(∆) colors in the random-order arrival model, when ∆ = ω (n 2 ...a graph of degree ∆ can be used to schedule the switch as follows: for some ∆ number of time steps, color ...
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Extension of graph clustering algorithms based on SCAN method in order to target weighted graphs
... Minimum cut tree clustering algorithm targets undirected weighted graphs. Being a maximum flow based method it takes edge weights into consideration. Edge weights have direct influence on the flow value, which in turn is ...
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Recognition of the simple groups $PSL_2(q)$ by character degree graph and order
... of order p k and a cyclic Frobenius complement of order (p k − 1)/(2, p − ...of order p k , ( | K/N | , | H/N | ) = 1 and all of Sylow subgroups of H/N are ...of order p k , ( | K/N | , | H/N ...
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On well quasi order of graph classes under homomorphic image orderings
... image order are quite different in flavour from those of the more familiar substructure ...substructure order, for example cycles and double-ended forks, are not antichains under the homomorphic image ...
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