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The Electronic Journal of Combinatorics, 2011 For a graph $G$, its $r$th power is constructed by placing an edge between two vertices if they are within distance $r$ of each other. In this note we study the amount of edges added to a graph by taking its $r$th power. In particular we obtain that, for $r\geq 3$, either the $r$th power is complete or "many" new edges are added.
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A Random Graph Model for Power Law Graphs [PDF]
Experimental Mathematics, 2001 We propose a random graph model which is a special case of sparserandom graphs with given degree sequences which satisfy a power law. This model involves only a small number of paramo eters, called logsize and log-log growth rate. These parameters capture some universal characteristics of massive graphs. From these parameters, various properties of the
Aiello, William, Chung, Fan, Lu, Linyuan
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Quotient graphs for power graphs [PDF]
Rendiconti del Seminario Matematico della Università di Padova, 2017 In a previous paper of the first author a procedure was developed for counting the components of a graph through the knowledge of the components of one of its quotient graphs. Here we apply that procedure to the proper power graph \mathcal{P}_0(G ...
BUBBOLONI, DANIELA +2 more
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A Graph Rewriting Visual Language for Database Programming [PDF]
, 1997 Textual database programming languages are computationally complete, but have the disadvantage of giving the user a non-intuitive view of the database information that is being manipulated.
Rodgers, Peter +3 more
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The cubic power graph of finite abelian groups
AKCE International Journal of Graphs and Combinatorics, 2021 Let G be a finite abelian group with identity 0. For an integer the additive power graph of G is the simple undirected graph with vertex set G in which two distinct vertices x and y are adjacent if and only if x + y = nt for some with When the additive ...
R. Raveendra Prathap, T. Tamizh Chelvam
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Graph Powering and Spectral Robustness
SIAM Journal on Mathematics of Data Science, 2020 Spectral algorithms, such as principal component analysis and spectral clustering, typically require careful data transformations to be effective: upon observing a matrix $A$, one may look at the spectrum of $ψ(A)$ for a properly chosen $ψ$. The issue is that the spectrum of $A$ might be contaminated by non-informational top eigenvalues, e.g., due to ...
Abbe, Emmanuel +3 more
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1996 Wholesale Power and Transmission Rate Schedules. [PDF]
, 1996 Bonneville Power Administration`s (BPA) 1996 Wholesale Power Rate Schedules, 1996 Ancillary Products and Services Rate Schedule, 1996 Transmission Rate Schedules, and General Rate Schedule Provisions, contained herein, were approved on an interim basis ...
United States. Bonneville Power Administration.
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Graph products of groups [PDF]
, 1990 In the 1970's Baudisch introduced the idea of the semifree group, that is, a group in which the only relators are commutators of generators. Baudisch was mainly concerned with subgroup problems, employing length arguments on the elements of these groups.
Green, E.R, Green, Elisabeth Ruth
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Clawfreeness of the powers of a graph
Discrete Applied Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patrick Bahls, Nicole A. Gin
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, 2011 In this paper, we introduce ideal graph of a graph and study some of its properties. We characterize connectedness, isomorphism of graphs and coloring property of a graph using ideal graph.
Manoharan, R., Vasuki, R.
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