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A note on collapsible graphs and super-Eulerian graphs

✍ Scribed by Hao Li; Weihua Yang


Book ID
113567679
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
205 KB
Volume
312
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


A note on graphs spanned by Eulerian gra
✍ W. R. Pulleyblank πŸ“‚ Article πŸ“… 1979 πŸ› John Wiley and Sons 🌐 English βš– 109 KB πŸ‘ 1 views

## Abstract We show that the problem raised by Boesch, Suffel, and Tindell of determining whether or not a graph is spanned by an Eulerian subgraph is NP‐complete. We also note that there does exist a good algorithm for determining if a graph is spanned by a subgraph having positive even degree at

A Note on Sub-Eulerian Graphs
✍ F. Jaeger πŸ“‚ Article πŸ“… 1979 πŸ› John Wiley and Sons 🌐 English βš– 114 KB

## Abstract We present an algebraic proof of the following result: a set of edges of a multigraph __G__ is contained in some cycle of __G__ iff the set contains no odd cocycle of __G__ (β€œcycle” means here: edge disjoint sum of elementary cycles). As a corollary we obtain the characterization of sub

A Note on Graph Colorings and Graph Poly
✍ Noga Alon; Michael Tarsi πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 230 KB

## dedicated to professor w. t. tutte on the occasion of his eightieth birtday It is known that the chromatic number of a graph G=(V, E) with V= [1, 2, ..., n] exceeds k iff the graph polynomial f G => ij # E, i<j (x i &x j ) lies in certain ideals. We describe a short proof of this result, using

On super i-connected graphs
✍ James W. Boland; Richard D. Ringeisen πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 655 KB
A note on conservative graphs
✍ Arthur T. White πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 115 KB

## Abstract An application of conservative graphs to topological graph theory is indicated.

A note on coset graphs
✍ Ulrike Baumann πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 90 KB

## Abstract Coset graphs are a generalization of Cayley graphs. They arise in the construction of graphs and digraphs with transitive automorphism groups. Moreover, the consideration of coset graphs makes it possible to give an algebraic description of regular connected graphs of even degree. In th