Results 41 to 50 of about 41,123 (303)

AN UPPER BOUND ON THE CHEEGER CONSTANT OF A DISTANCE-REGULAR GRAPH [PDF]

open access: yes, 2017
We present an upper bound on the Cheeger constant of a distance-regular graph. Recently, the authors found an upper bound on the Cheeger constant of distance-regular graph under a certain restriction in their previous work.
이윤진
core   +1 more source

An upper bound on the Cheeger constant of a distance-regular graph [PDF]

open access: yes, 2018
We present an upper bound on the Cheeger constant of a distance-regular graph. Recently, the authors found an upper bound on the Cheeger constant of distance-regular graph under a certain restriction in their previous work.
이윤진
core   +1 more source

On 3-Chromatic Distance-Regular Graphs [PDF]

open access: yesSSRN Electronic Journal, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aart Blokhuis   +2 more
openaire   +11 more sources

A Cheeger inequality of a distance regular graph using Green's function [PDF]

open access: yes, 2017
Cheeger constant; Cheeger inequality; Distance regular graph; Green's function; Laplacian; P-polynomial ...
이윤진
core   +1 more source

On a version of the spectral excess theorem

open access: yesElectronic Journal of Graph Theory and Applications, 2020
Given a regular (connected) graph G=(X,E) with adjacency matrix A, d+1 distinct eigenvalues, and diameter D, we give a characterization  of when its distance matrix AD is a polynomial in A, in terms of the adjacency spectrum of G and the arithmetic (or ...
Miquel Àngel Fiol, Safet Penjic
doaj   +1 more source

On distance labelings of 2-regular graphs

open access: yesElectronic Journal of Graph Theory and Applications, 2021
Let G  be a graph with |V(G)| vertices and ψ :  V(G) → {1, 2, 3, ... , |V(G)|} be a bijective function. The weight of a vertex v ∈ V(G) under ψ is wψ(v) = ∑u ∈ N(v)ψ(u).  The function ψ is called a distance magic labeling of G, if wψ(v) is a constant for
Anak Agung Gede Ngurah   +1 more
doaj   +1 more source

The distance seidel spectrum of some graph operations [PDF]

open access: yesJournal of Hyperstructures
The distance matrix, distance eigenvalue, and distance energy of a connected graph have been studied in detail in literature where as the study on distance seidel matrix associated with a connected graph is in progress. The eigenvalues ∂1S≥∂2S≥ ...
Deena Scaria, Indulal Gopal
doaj   +1 more source

A distance regular graph with intersection array (21,16,8; 1,4,14) does not exist [PDF]

open access: yes, 2005
We show that a distance regular graph Γ with intersection array (21,16,8;1,4,14) does not exist. The proof uses algebraic properties of a positive semidefinite matrix related to the neighbourhood of a vertex of ...
Coolsaet, Kris, Coolsaet, K.
core   +1 more source

A new distance-regular graph associated to the Mathieu group M10 [PDF]

open access: yes, 1998
We construct a bipartite distance-regular graph with intersection array {45, 44, 36, 5; 1, 9, 40, 45} and automorphism group 35 :(2 ×M10) (acting edge-transitively) and discuss its relation to previously known combinatorial ...
Koolen, J.H.   +2 more
core   +1 more source

The Terwilliger polynomial of a Q-polynomial distance-regular graph and its application to pseudo-partition graphs [PDF]

open access: yes, 2015
Distance-regular graph; Folded halved cube; Folded Johnson graph; Q-polynomial; Terwilliger ...
Gavrilyuk, Alexander L., Koolen, Jack H.
core   +1 more source

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