# Degree Sequences of Monocore Graphs

Discussiones Mathematicae Graph Theory (2014)

- Volume: 34, Issue: 3, page 585-592
- ISSN: 2083-5892

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topAllan Bickle. "Degree Sequences of Monocore Graphs." Discussiones Mathematicae Graph Theory 34.3 (2014): 585-592. <http://eudml.org/doc/268316>.

@article{AllanBickle2014,

abstract = {A k-monocore graph is a graph which has its minimum degree and degeneracy both equal to k. Integer sequences that can be the degree sequence of some k-monocore graph are characterized as follows. A nonincreasing sequence of integers d0, . . . , dn is the degree sequence of some k-monocore graph G, 0 ≤ k ≤ n − 1, if and only if k ≤ di ≤ min \{n − 1, k + n − i\} and ⨊di = 2m, where m satisfies [...] ≤ m ≤ k ・ n − [...] .},

author = {Allan Bickle},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {monocore graph; degeneracy; degree sequence},

language = {eng},

number = {3},

pages = {585-592},

title = {Degree Sequences of Monocore Graphs},

url = {http://eudml.org/doc/268316},

volume = {34},

year = {2014},

}

TY - JOUR

AU - Allan Bickle

TI - Degree Sequences of Monocore Graphs

JO - Discussiones Mathematicae Graph Theory

PY - 2014

VL - 34

IS - 3

SP - 585

EP - 592

AB - A k-monocore graph is a graph which has its minimum degree and degeneracy both equal to k. Integer sequences that can be the degree sequence of some k-monocore graph are characterized as follows. A nonincreasing sequence of integers d0, . . . , dn is the degree sequence of some k-monocore graph G, 0 ≤ k ≤ n − 1, if and only if k ≤ di ≤ min {n − 1, k + n − i} and ⨊di = 2m, where m satisfies [...] ≤ m ≤ k ・ n − [...] .

LA - eng

KW - monocore graph; degeneracy; degree sequence

UR - http://eudml.org/doc/268316

ER -

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