Nonexistence of certain edge-girth-regular graphs (original) (raw)

Small Regular Graphs of Girth 7

Camino Balbuena

The Electronic Journal of Combinatorics

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A family of regular graphs of girth 5

Martin Funk

Discrete Mathematics, 2008

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Families of small regular graphs of girth 7

Camino Balbuena

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On the girth of extremal graphs without shortest cycles

Clarine Balbuena Balbuena

Discrete Mathematics, 2008

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New family of small regular graphs of girth 5

Gabriela Araujo-pardo

Electronic Notes in Discrete Mathematics, 2016

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New families of small regular graphs of girth 5

Camino Balbuena

2015

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Families of small regular graphs of girth 5

Clarine Balbuena Balbuena

Discrete Mathematics, 2012

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New small regular graphs of girth 5

Gabriela Araujo-pardo

Discrete Mathematics, 2017

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New families of graphs without short cycles and large size

Camino Balbuena, Nani Abajo

2010

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A Construction of Small (q−1)(q-1)(q1)-Regular Graphs of Girth 8

Gabriela Araujo-pardo

The Electronic Journal of Combinatorics, 2015

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Minimal Regular graphs with every edge in a triangle

James Preen

2021

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On Extremal Graphs with Bounded Girth

Yuqing Lin

Electronic Notes in Discrete Mathematics, 2009

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On edge-regular graphs with kge3b_1−3k\ge 3 b_1-3kge3b_13

Alexander Makhnev

St. Petersburg Mathematical Journal, 2000

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Non-regular graphs with minimal total irregularity

Darko Dimitrov

arXiv (Cornell University), 2014

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Cycle-regular graphs of ()-graph type

Abdelhafid Berrachedi

Discrete Mathematics, 2010

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Altitude of regular graphs with girth at least five

Christina Mynhardt

Discrete Mathematics, 2005

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On the minimum order of extremal graphs to have a prescribed girth

Camino Balbuena

2007

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Smallest regular graphs without near 1-factors

Gary Chartrand

Journal of the Australian Mathematical Society, 1986

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Bound on the irregularity strength of regular graphs

Jeno Lehel

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The Cycle Discrepancy of Three-Regular Graphs

Sarmad Abbasi

Graphs and Combinatorics, 2011

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Relations on irredundance and domination number for six regular graph with girth 3

SV Ashwin Prakash

Malaya Journal of Matematik, 2020

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On 4-ordered 3-regular graphs

Jimmy Jeen Ming Tan

Mathematical and Computer Modelling, 2011

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On Edge-Graceful Regular Graphs with Particular 3-Factors

Tao-Ming Wang

Electronic Notes in Discrete Mathematics, 2017

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On the structure of extremal graphs of high girth

Felix Lazebnik

Journal of Graph Theory, 1997

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Edge-girth-regular graphs arising from biaffine planes and Suzuki groups

Gabriela Araujo-pardo

Discrete Mathematics

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Large regular graphs with no induced 2K 2

William Trotter

Graphs and Combinatorics, 1992

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Constructing regular graphs with smallest defining number

Behnaz Omoomi

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Symmetric cubic graphs of small girth

Roman Nedela

Journal of Combinatorial Theory, Series B, 2007

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Small bi-regular graphs of even girth

Gabriela Araujo-pardo

Discrete Mathematics, 2016

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Finding small regular graphs of girths 6, 8 and 12 as subgraphs of cages

Camino Balbuena

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Small Graphs and Hypergraphs of Given Degree and Girth

James Tuite

Electronic Journal of Combinatorics, 2023

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