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A graph with two cycles connected by a path

Graph Path Orderings

Graph Path Orderings

... a graph rewrite ordering for ...the graph reduc- tion ordering with respect to those cycles that are reducible by R: building this monotonicity property in the definition of a graph reduction ...

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Some Graph Labelings on Middle Graph of Extended Duplicate Graph of a Path

Some Graph Labelings on Middle Graph of Extended Duplicate Graph of a Path

... A-magic graph is due to sedlack, who defined it to be a graph with real- valued edge labeling such that distinct edges have distinct non- negative labels which satisfies the condition that the sum of the ...

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On Mutually Orthogonal Graph Path Squares

On Mutually Orthogonal Graph Path Squares

... Orthogonal Graph Squares, Orthogonal Double Cover ...bipartite graph with partition sets of sizes m and n, P n + 1 for the path on n + 1 vertices, D  F for the disjoint union of D and F, D  L v F ...

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Learning Path Queries on Graph Databases

Learning Path Queries on Graph Databases

... learning graph queries by exploiting user examples. The input consists of a graph database in which the user has labeled a few nodes as posi- tive or negative examples, depending on whether or not she would ...

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Investigations on path indexing for graph databases

Investigations on path indexing for graph databases

... practical graph database systems of these types of indexes is the natural progression of this ...the path indexes in the face of insertions and deletions of edges in the data ...our path indexes as ...

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Investigations on path indexing for graph databases

Investigations on path indexing for graph databases

... Abstract. Graph databases have become an increasingly popular choice for the management of the massive network data sets arising in many contemporary ...of path in- dexing for accelerating query processing ...

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Shortest Path Graph Kernels for Document Similarity

Shortest Path Graph Kernels for Document Similarity

... a graph kernel between pairs of ...a graph-of-words, we are able to model these relationships and then de- termine how similar two documents are by using a modified shortest-path graph ...

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Optimization of Regular Path Queries in Graph Databases

Optimization of Regular Path Queries in Graph Databases

... of graph query languages as follows 8 ...query. Two nodes are adjacent if there is an edge between them. Similarly, two edges are adjacent if they share a common ...the graph or its elements ...

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Path Querying on Graph Databases

Path Querying on Graph Databases

... Relations with CTL ∗ and Hybrid CTL ∗ Conjunctive Regular Path Queries Open Problems and Conclusion.. Overview[r] ...

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Arithmetic - Geometric Indices of Path Graph

Arithmetic - Geometric Indices of Path Graph

... Chemical graph, Molecular graph, Arithmetic- Geometric ...A graph G is a pair G=(V,E) consisting of a finite set V and set E of 2-element subsets of V (infinite graphs are also studied, here we ...

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Cycles in a Graph Whose Lengths Differ by One or Two

Cycles in a Graph Whose Lengths Differ by One or Two

... the graph G. Theorem 1 is vacuously true for n ≤ 3. Let G be a graph on n > 3 vertices and assume the theorem is true for graphs with fewer than n ...a path; moreover, all C-bridges, including B, ...

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On the Number of Cycles in a Graph

On the Number of Cycles in a Graph

... Cycle, Graph Theory, Path, Subgraph, Walk ...simple graph G, a walk is a sequence of vertices and edges of the form v e v 0 , , , 1 1  , e v k , k such that the edge e i has ends v i − 1 and v i ...

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Two Edge-Disjoint Hamiltonian Cycles and Two-Equal Path Partition in Augmented Cubes

Two Edge-Disjoint Hamiltonian Cycles and Two-Equal Path Partition in Augmented Cubes

... Hamiltonian Cycles and Two-Equal Path Partition in Augmented Cubes Ruo-Wei Hung ‡§ and Chien-Chih Liao ‡ Abstract—The n-dimensional hypercube network Q n is one of the most popular interconnection ...

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Small cycles in the Pancake graph

Small cycles in the Pancake graph

... If |A| = 1 or |B| = 1, then the path above is transformed into a 2–path or an edge. This completes the proof of the lemma. 3 Proof of Theorem 1.3 To find all 8–cycles passing through the same vertex ...

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Testing the simultaneous embeddability of two graphs whose intersection is a biconnected or a connected graph

Testing the simultaneous embeddability of two graphs whose intersection is a biconnected or a connected graph

... We first check whether all the outer edges of μ can be embedded on the outer face. If μ is an R-node, this amounts to checking whether all the visible nodes ν of μ that have a non-empty list Lν or Rν can be flipped so that ...

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Connected Domination Path Decomposition Polynominal of  Path and Cycle

Connected Domination Path Decomposition Polynominal of Path and Cycle

... a graph G is a dominating set if every vertex v in V – D is adjacent to a vertex in ...a graph G is a connected dominating set if the induced subgraph < D > is ...minimum connected ...

6

Graph Invariants and Large Cycles: A Survey

Graph Invariants and Large Cycles: A Survey

... a graph, respectively. Each vertex and edge in a graph can be interpreted as simple cycles of lengths 1 and 2, ...A graph G is hamiltonian if G contains a Hamilton cycle, that is, a cycle ...

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Detect All Cycles In A Directed Graph

Detect All Cycles In A Directed Graph

... all cycles in a directed Graph Golang ...directed cycles in detect all cycles only connect to detect if it off from that ...directed graph is going to allege a. Detecting cycles ...

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A Connected Version of the Graph Coloring Game

A Connected Version of the Graph Coloring Game

... shortest path from {v 2 , v 0 2 } to {u, u 0 } goes through v 1 or v 0 1 ...the connected marking game on an outerplanar graph ...outerplanar graph containing G as a subgraph, and such that uu ...

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On The Lattice of Trail Sets of a Connected Graph

On The Lattice of Trail Sets of a Connected Graph

... directed graph G together with empty set partially ordered by set inclusion relation forms a complete semimodular, A-regular ...finite connected graph together with empty set partially ordered by set ...

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