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Nonlinear modal evolution of microbubbles confined by rigid capillary constraint. [PDF]
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A hardware demonstration of a universal programmable RRAM-based probabilistic computer for molecular docking. [PDF]
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INDUCED SUBGRAPHS OF GAMMA GRAPHS
Discrete Mathematics, Algorithms and Applications, 2013Let G be a graph. The gamma graph of G denoted by γ ⋅ G is the graph with vertex set V(γ ⋅ G) as the set of all γ-sets of G and two vertices D and S of γ ⋅ G are adjacent if and only if |D ∩ S| = γ(G) – 1. A graph H is said to be a γ-graph if there exists a graph G such that γ ⋅ G is isomorphic to H.
N. Sridharan, S. Amutha, S. B. Rao
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Excluding induced subgraphs: quadrilaterals
Random Structures & Algorithms, 1991AbstractIn this note we determine the structure of “almost all” graphs not containing a quadrilateral (i.e., a cycle of length four) as an induced subgraph. In particular, it turns out that there are asymptotically twice as many graphs not containing an induced quadrilateral than there are bipartite graphs.
Hans Jürgen Prömel, Angelika Steger
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On induced subgraphs of a block
Journal of Graph Theory, 1977AbstractIf G is a block, then a vertex u of G is called critical if G ‐ u is not a block. In this article, relationships between the localization of critical vertices and the localization of vertices of relatively small degrees (especially, of degree two) are studied. A block is called semicritical if a) each edge is incident with at least one critical
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Large Nearly Regular Induced Subgraphs [PDF]
For a real c \geq 1 and an integer n, let f(n,c) denote the maximum integer f so that every graph on n vertices contains an induced subgraph on at least f vertices in which the maximum degree is at most c times the minimum degree. Thus, in particular, every graph on n vertices contains a regular induced subgraph on at least f(n,1) vertices. The problem
Noga Alon +2 more
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Matroids Induced by Packing Subgraphs
SIAM Journal on Discrete Mathematics, 2004Summary: This paper is concerned with the classification of families of graphs \(\mathcal T\) with the following property: For any graph \(G\), the subsets of vertices of \(G\) that can be saturated by packing copies of graphs from \(\mathcal T\) form a collection of independent sets of a matroid.
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Maximum k-regular induced subgraphs [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Domingos Moreira Cardoso +2 more
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Factors and Connected Induced Subgraphs
Graphs and Combinatorics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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