Cover Image

Apportionable matrices and gracefully labelled graphs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Clark, Antwan, Curtis, Bryan A., Gnang, Edinah K., Hogben, Leslie
Format:	Preprint
Published:	2023
Subjects:	Combinatorics 05C50, 05C78, 15A04, 15A18
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Inverse Symplectic Eigenvalue Problem of a Graph
by: Gupta, Himanshu, et al.
Published: (2026)

Every tree on $n$ edges decomposes $K_{nx,nx}$ and $K_{2nx+1}$
by: Chalise, Parikshit, et al.
Published: (2024)

Limit points of $A_α$-matrices of graphs
by: Oliveira, Elismar R., et al.
Published: (2024)

Exploring new upper and lower bounds for the $A_α$-energy of graphs
by: Basunia, Mainak, et al.
Published: (2026)

On symmetric hollow integer matrices with eigenvalues bounded from below
by: Jiang, Zilin
Published: (2024)

Median eigenvalues of subcubic graphs
by: Acharya, Hricha, et al.
Published: (2025)

Eccentricity and algebraic connectivity of graphs
by: Afshari, B., et al.
Published: (2024)

The least balanced graphs and trees
by: Csikvári, Péter, et al.
Published: (2025)

On the Harmonic characteristic polynomial of specific graphs
by: Rahimi, Sadruddin, et al.
Published: (2025)

The spectral extrema of graphs of odd size forbidding $H(4,3)$ beyond the book graph
by: Wani, Abdul Basit, et al.
Published: (2026)

Algebraic connectivity of the second power of a graph
by: Afshari, B.
Published: (2021)

Spectral integral variation of signed graphs
by: Ahn, Jungho, et al.
Published: (2024)

Spectral radius and Hamiltonian properties of graphs, II
by: Ge, Jun, et al.
Published: (2016)

Subcubic graphs without eigenvalues in $(-1, 1)$
by: Huang, Shenwei, et al.
Published: (2026)

Unimodality and peak location of the characteristic polynomials of two distance matrices of trees
by: Jana, Rakesh, et al.
Published: (2024)

Laplacian $\{-1,0,1\}$- and $\{-1,1\}$-diagonalizable graphs
by: Johnston, Nathaniel, et al.
Published: (2023)

On the $A_α$-index of graphs with given order and dissociation number
by: Zhou, Zihan, et al.
Published: (2024)

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$
by: Cheng, Yen-Jen, et al.
Published: (2025)

Spectra and Laplacian spectra of arbitrary powers of lexicographic products of graphs
by: Abreu, Nair, et al.
Published: (2015)

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$
by: Minh, Bui Phuoc, et al.
Published: (2026)

Multidimensional convolution matrices and perfect colorings of subspace hypergraphs applied for bent functions and related designs
by: Potapov, Vladimir N., et al.
Published: (2026)

Not every graph can be reconstructed from its boundary distance matrix
by: Cáceres, José, et al.
Published: (2025)

Connected triangle-free planar graphs whose second largest eigenvalue is at most 1
by: Cheng, Kun, et al.
Published: (2024)

Spectral extrema of graphs of given even size forbidding H(4,3)
by: Zheng, Ruiling, et al.
Published: (2025)

On maximum spectral radius of $\{H(3,3),~H(4,3)\}$-free graphs
by: Rehman, Amir, et al.
Published: (2024)

New matrices for spectral hypergraph theory, I
by: Vishnupriya, R., et al.
Published: (2024)

Joins of normal matrices, their spectrum, and applications
by: Mináč, Jan, et al.
Published: (2022)

Inverse eigenvalue problem for Laplacian matrices of a graph
by: Fallat, Shaun, et al.
Published: (2024)

Upper bounds on the odd graceful chromatic number of graphs
by: Afifurrahman, Muhammad, et al.
Published: (2025)

The spectrum of the Corona of Hypergraphs
by: Kurian, Liya Jess, et al.
Published: (2024)

Doubly Stochastic Matrices and Modified Laplacian Matrices of Graphs
by: Andrade, Enide, et al.
Published: (2025)

A new generalization of Fielder's lemma with applications
by: Kumari, Komal, et al.
Published: (2024)

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues
by: Barrett, Wayne, et al.
Published: (2024)

Metric Location in Pseudotrees: A survey and new results
by: Cáceres, José, et al.
Published: (2023)

Inverse Fiedler vector problem of a graph
by: Lin, Jephian C. -H., et al.
Published: (2024)

A strong nullity parameter for rooted graphs
by: Abiad, Aida, et al.
Published: (2026)

The strong spectral property for some families of unicyclic graphs
by: Koljančić, Sara, et al.
Published: (2025)

New matrices for spectral hypergraph theory, II
by: Vishnupriya, R., et al.
Published: (2024)

Kirchhoff index of a nested geometric graph with weighted multiple edges
by: Huh, Da-yeon
Published: (2026)

A sharp upper bound on the third adjacency eigenvalue of a graph
by: Tang, Quanyu
Published: (2026)